Explain binary options for dummies


Binary Number System. A Binary Number is made up of only 0 s and 1 s. There is no 2, 3, 4, 5, 6, 7, 8 or 9 in Binary! A " bit " is a single b inary dig it . The number above has 6 bits. Binary numbers have many uses in mathematics and beyond. In fact the digital world uses binary digits. How do we Count using Binary? The same thing is done in binary . And that is what we do in binary . . but that number is already at 1 so it also goes back to 0 . . and 1 is added to the next position on the left. add 1 on the left. See how it is done in this little demonstration (press play button): Here are some equivalent values: Binary numbers also have a beautiful and elegant pattern: Here are some larger values: "Binary is as easy as 1, 10, 11." Now see how to use Binary to count past 1,000 on your fingers: In the Decimal System there are Ones, Tens, Hundreds, etc. In Binary there are Ones, Twos, Fours, etc, like this: Numbers can be placed to the left or right of the point, to show values greater than one and less than one. gets 2 times bigger .


gets 2 times smaller (half as big). The "10" means 2 in decimal, The ".1" means half, So "10.1" in binary is 2.5 in decimal. The word binary comes from "Bi-" meaning two. We see "bi-" in words such as "bicycle" (two wheels) or "binocular" (two eyes). A single binary digit (like "0" or "1") is called a "bit". For example 11010 is five bits long. The word bit is made up from the words " b inary dig it " How to Show that a Number is Binary. To show that a number is a binary number, follow it with a little 2 like this: 101 2. This way people won't think it is the decimal number "101" (one hundred and one). Example: What is 1111 2 in Decimal? The "1" on the left is in the "2×2×2" position, so that means 1×2×2×2 (=8) The next "1" is in the "2×2" position, so that means 1×2×2 (=4) The next "1" is in the "2" position, so that means 1×2 (=2) The last "1" is in the ones position, so that means 1 Answer: 1111 = 8+4+2+1 = 15 in Decimal. Example: What is 1001 2 in Decimal? The "1" on the left is in the "2×2×2" position, so that means 1×2×2×2 (=8) The "0" is in the "2×2" position, so that means 0×2×2 (=0) The next "0" is in the "2" position, so that means 0×2 (=0) The last "1" is in the ones position, so that means 1 Answer: 1001 = 8+0+0+1 = 9 in Decimal. Example: What is 1.1 2 in Decimal? The "1" on the left side is in the ones position, so that means 1. The 1 on the right side is in the "halves" position, so that means 1×(12) So, 1.1 is "1 and 1 half" = 1.5 in Decimal.


Example: What is 10.11 2 in Decimal? The "1" is in the "2" position, so that means 1×2 (=2) The "0" is in the ones position, so that means 0 The "1" on the right of the point is in the "halves" position, so that means 1×(12) The last "1" on the right side is in the "quarters" position, so that means 1×(14) So, 10.11 is 2+0+12+14 = 2.75 in Decimal. "There are 10 kinds of people in the world, those who understand binary numbers, and those who don't." Options Trading for Dummies. Trading stock options is a way to get into stock investing without huge amounts of money while at the same time limiting your risk of losing money. Trading options has its own vocabulary and procedures. While much of it may be counterintuitive, there are similarities between stock options and buying insurance to protect an asset, such as your car. Understanding the Options Vocabulary. An option represents a choice an investor has when dealing with stocks, equities, exchange traded funds and other similar products. The option itself is a contract for 100 shares with a predetermined price, called the strike price, and an expiration date. There are two basic types of options, referred to as calls and puts, synonymous with buying and selling.


An easy way to remember these is to think of buying as "calling in" and selling as "putting out." The buyer of an option purchases the right to buy or sell 100 shares at the strike price, for a premium. The seller, called the writer in options terms, is obligated to sell or buy if the buyer exercises the option. How Options Limit Risk. The buyer of an option has the right, but not the obligation, to buy or sell under terms of the option contract. Consider car insurance for a moment. You purchase insurance for a fraction of the cash value of your car, in case you have an accident and have to repair or replace your car. Your insurance premium gives you assurance that you are not risking the total value of your car. Purchasing an option contract is similar. The buyer predicts a stock will gain or lose value by a future date, and purchases an option where the strike price is lower or higher than the stock's predicted value. If the buyer is wrong, he lets the option expire, forfeiting only the stock option premium -- not the loss of value for those 100 shares. Making Money With Call Options. When the value of a stock rises above the strike price of a call option before it expires, the buyer could exercise the option and purchase the shares. However, now the option has a value of its own, and this is typically how options trading makes money.


The buyer may now sell his contract to someone who wants to purchase that stock cheaper than the current market rate, which the option writer is obligated to provide. The value of that sale depends on the difference between strike price and current value, and the time remaining on the option. As long as the buyer recoups the option premium, a profit is realized. Making Money With Put Options. The buyer of a put option wants the value of a stock to fall below the strike price. In this case, the writer is obligated to buy 100 shares at the buyer's option for a price which is now higher than the market. That option contract becomes attractive to holders of the falling stock. The buyer earns a profit by selling the put option for an amount exceeding the option premium. Explain binary options for dummies Neurolixis Inc. has in-licensed early-stage clinical assets (Phase 1 and Phase 2) for repurposing in indications with unmet needs in psychiatric and neurological disorders.


Read more. Neurolixis has been awarded several research grants by private foundations, including the Michael J. Fox Foundation for Parkinson's research, the Rett Syndrome Research Trust and the International Rett Syndrome Foundation. Read more. Neurolixis is developing clinical phase drugs targeting L-DOPA-induced dyskinesia in Parkinson's disease and breathing deficits in Rett syndrome, a devastating orphan disorder. Read more. binary+options+for+dummies. Narrow Your Search. Tech Culture (5996) Tech Industry (3938) Mobile (2464) Internet (1889) Gadgets (1088) Phones (799) Software (710) Gaming (573) Security (571) Sci-Tech (535) Applications (371) Auto Tech (331) Computers (307) Mobile Apps (258) Smart Home (250) Online shoppers are liking those speedy checkout options. Manuel BlondeauCorbis via Getty Images Apple Pay so far hasn't inspired people to burn their wallets, but there's one type of newer digital payment that's gaining traction. Visa on Thursday. By Ben Fox Rubin 06 April 2017. iPhone 7 storage options: Why 32GB is likely not enough. 1:49 Close Drag Autoplay: ON Autoplay: OFF Last September, Apple finally did away with the abysmal, 16GB model in its iPhone lineup.


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Welcome To Our New Traders “Dummies Guide” On The Basics Of Binary Options. Hi and welcome to the BinaryTrading. org’s New Binary Option Traders Guide. This page covers the basic but important facts about binary options you need to know before you begin trading. It is a good idea to bookmark this page as you will likely reference it in the future. Here is an outline of the things you will learn. What is a Binary Option? Types of Binary Option Trades Available Basic Strategies Tools You May Want List of “Things To Know” Example Trades Getting Started. What Are Binary Options Themselves. Binary options are very simple option contract with a fixed risk and fixed reward . These options are called binary options because there is a “one or the other choice” and a one or the other payout after the option expires.


One or the other choices include up or down, or touch and notouch. In computer code binary means 1 or 0, or one or the other. The way a binary option works is from the traders perspective (yours) is that you choose whether or not a certain underlying asset (a stock, commodity, currency etc) is going to go up or down in a certain amount of time. You essentially bet money on this prediction. You are shown how much money up front you will earn if your prediction is correct. If your prediction is wrong, you lose your bet and the money risked. If you predict correctly you get your money risked back PLUS a return. These returns usually are between 70-85%. A brief example would be that you predict the price of gold to rise from it’s current price of “$1612.75” one hour from now. The winning trade offers a return of 80%. You place a $100 trade on this idea. One hour from now the option contract expires (closes) and the contract is graded as a “win” or a “loss”, or “in the money” “out of the money”. Gold goes up to $1613, you predicted correctly.


You get your $100 back and a return of 80% – or $80 for a total of $180. Even though gold only went up a tiny amount, you still earn the 80% return. Magnitude of price movement is not a factor in the amount of your return. Key Ingredients Of A Binary Option Trade. All of the different binary option contracts have these three key ingredients that traders need to take note of. They are the expiry time, the strike price, and the payout offers. The expiry time is simply the length of time from the moment you ‘buy’ the option contract until it closes. This can be as fast as 60 seconds or as long as a month. The majority of traders are trading the short term binary options, anywhere from 60 seconds to 30 minutes. The strike price is the price that you were able to enter the trade at and this is the price that determines whether or not your trade is a winner or a loser. In the brief example above, the strike price is $1612.75. This is the price that gold needed to close at above in order to win this trade. The payout offer is the return that binary option broker is offering to you. In the gold trade example above, the payout offer was 80% for a win and 0% for a loss. Some trades do have a return percentage for losses, typically up to 10% although this is broker and trade dependent.


The payout offer is known up front before risking any money. Types Of Binary Options Available. There are multiple types of binary options available to trade. The simplest and by far most common trade is the UpDown trade. You can learn about the different types of binary options available to trade here. We have compiled a list of basic binary option strategies that will help you get started making higher probability trades. Tools You May Want To Use. I am going to beef up this section as new tools arrive on the market to help you make your trades. For now you can review some of the binary trading signal services on this page. Key Things To Know About Binary Trading. So now you understand the basics of trading binary options. Some key things you should remember before you dive in are these: Your risk is limited to your trade amount The minimum trade is as little as $10 You do pay for losing trades – you lose your trade amount (or the majority of it) There is plenty of risk involved.


Never ever invest more with a broker than you can afford to lose. It’s risky! You never take any ownership of the underlying asset – you only “bet” on the direction of it’s price movement To make money over the long term you have to win the majority of your trades Up Down are only 1 type of binary option, there are many different kinds of trades available to make with binaries Trading binary options is designed to be easy to do. Your risk is limited to the amount you place on the trade. Your payoff is clearly stated before making the trade. If you win a binary options trade you win a fixed amount of cash. Since there are only two possibilities, that’s the origin of the name “binary options.” Screenshot of a Binary Trading Interface – Choose Up Or Down, How Much To Risk and “Apply”. Up or Down aka ‘Call or Put’ Do you think the price of “x” is going up or down? In the screenshot above from Banc De Binary, we are looking at the current price of gold. Gold is “x”.


The green line is the price movement of the gold over the course of time. The red section on the right hand side is the last moment you can trade this binary option. After that point, the option is closed for trading. It has not expired quite yet if you traded previously, however your window of trading is over. If you think the price of “Gold” is going up you place a “call”. If you think the price of “Gold” is going down, you place a “put”. Those are your only two options. Hence “Binary”. If you pick the right choice of the two you win the trade. If you pick wrong you lose the trade.


There are two choices only. ‘Up or Down’. And two outcomes, ‘Win or Lose’. That is the very basics of binary trading for dummies. It is that simple, and it is designed to be that easy. Your return is clearly stated before hitting the ‘apply’ button. You will earn 72% on your investment if you finish the trade ‘in the money’. “X” can be any number of underlying assets. It can be a certain stock or it can be the price of gold or oil. It can be a currency pair or it can be the price of facebooks stock. You get to choose what underlying asset you want to trade. There is one more important factor left out of the simple illustration above and that is the expiration time or maturity date of the option. This is the point in time when the trade expires.


This is the point when the actual price of the underlying asset is determined and you find out if you finish the trade ‘in the money’ with a win, or ‘out of the money’ with a loss. If you chose ‘up, or call’ and at the the price expired higher, you win. The expiration times vary from as fast as 60 seconds to as long as hours, days and even weeks. Example Basic Binary Trade. The easiest way to explain what a binary trade looks like is to provide an example. Example Trade 1 – Trading Googles Stock With A High Low Binary Option. Screenshot From Google Finance of Current Price Of Google. Perhaps Google is doing well and you expect it to be trading above $672.10 by 3:30pm est this afternoon. A binary trade means you place a bet on that theory. Corresponding Candlestick Chart From FreeStockCharts.


com For Google’s Stock Price. Above is the corresponding candlestick chart for Google, from FreeStockCharts. com. You can use this to read price action and find trading opportunities. Here is the Corresponding Trade From TradeRush. com – Risk of $1000, Return of $1700 If You Win – $100 Rebate If you Lose (10%) And here is the corresponding Binary trade offered by TradeRush. com – You risk $1000.00 that Google’s stock will be trading at or above $672.10 at 3:30pm later today. Your return on this trade is 70% if you win and 10% if you lose. When 3:30pm rolls around and Googles stock is trading at or above $672.1.00 as you predicted, you’ll be paid $1700.00. This includes your $1000 you put up on the trade up front and the 70% return ($700). If you’re wrong and the stock is trading at less than $672.10, you receive $100, a 10% rebate, losing $900 total (Your $1000 investment amount minus the $100 return = $900 loss). In the example above, $672.10 is called the “strike price.” Since you bet in a positive direction, we would refer to this as a “call,” not a “put.” $700.00 is the “payoff value.” The date and time are called the “expiration date,” or the maturity date.


The $100 is the losing return, or a 10% rebate offered sometimes on trades. Not all binary option brokers offer rebates on trades that finish out of the money. You could also have bet in the opposite direction, that the stock’s price would be trading at or below a certain lower value, which would have been a “put.” In that situation, you would need google to finish below the strike price. Usually, this would be a few pips below what the strike price would be if it was a call. This price is set by the individual broker along with the returns offered. It is up to the trader to take the trade or not. Example 2 – Tutorial on Trading The Price Of Gold With A ‘Touch Trade’ If you want to profit from the swings in the gold market, there are hardly any better ways to do so than with a binary option. With a one touch trade, the only thing that has to happen to win is that the asset hits the 1 touch price. You bet $100 that the price of gold will touch $1617.40 by 3pm EST today. The payout for this trade is 70% if you finish in the money. If you win, you will get a payout of $170 which includes your $100 risked up front plus the $70 return (70% of $100 = $70). Since a 70% return is a bit low on the payout side, the broker offers a 15% rebate on losses. If you lose, you get $15 back and only lose $85 instead of the full $100. You can see how this can offset the lower than average return for wins.


You place the trade and need the price of gold to reach the target price, or trigger price of $1617.40 before 3pm today. Luckily for you, there was a some negative news regarding the dollar’s value that drove fears of inflation. The price of gold and oil went up accordingly. When the news broke, the gold price spiked up and hit your target price. Triggering your trade to close in the money. You were paid $170 which includes your $100 bet up front plus the $70 return on your investment. You can trade one touch options at sites like marketsworld. com, not all brokers offer them even though they are the 2nd most popular form of binary trading. A General Trading Example. Trade commodities like gold and oil with easy to buy binary options. Choose your underlying asset. IE gold, currency pair, stock etc. Decide how long until you want the option to expire.


As little as 60 seconds up to a days or week. Common expiry times are 15-30 minutes. Choose the amount you wish to risk. As little as $5, as much as thousands. Decide which way you think the price is going to move (up or down). Click “Up or Down” and hit the “Apply” Button – just before hitting “Apply” you will see the exact payout if you win or lose. At expiry you have either won or lost and get the fixed payout offered prior to hitting the ‘apply’ button. You can not lose more than your risked amount and you can not make more than your fixed return, regardless of how far the price moves. Binaries are one or the other choice with a one or the other payout or loss. Winning returns average 70-85% at the respectable brokers for most trades.


If you lose, you get between 0-15%. Some brokers kick back some percentages on losses, that’s why their winning returns are sometimes a bit lower compared to the other brokers. Things To Remember Before You Begin Making Option Trades. Risk is known up front and fixed. You can not lose more than you put into any trade. You are not and can not get burned by leverage like you can with forex trading. You do not need to set ‘stop losses’. The return is the same whether you win or lose by 1 pip or 100 pips. Payouts are clearly stated and known exactly up front before risking any money on the trade. Most of the brokers we list have early closure feature. This lets you close your option at a price they are offering any time up until the final closing minutes.


You can lock in profit or minimize loss with early exit Executing the trade is easy. Choose your asset to trade, how much to risk, choose ‘up or down’ and click the ‘trade now’ button. Returns are 70-85% on average at the trading brokers listed here. No hidden costs – Your risk and full return are clearly listed. You do not have to be a financial “expert” to win. You never take any actual ownership of the underlying asset. You are just predicting what happens to the price of the asset. Your trade comes down to a ‘one or the other’ choice (hence binary ) The trading is simple by design. If you know what a binary option is but would like to learn how to get started trading binaries then jump back over to our page focused on the things you need to know to start trading. This page is more a basic overview of what is going on when talking about binary options. Trading Binary Options For Dummies. Anyone can trade binary options. Even a dummy can win any given binary trade, too.


It is one or the other choice, it is hard to get it that wrong all of the time. However, to be a long term winner you have to develop a method and method that works for you. You have to consistently profit by winning more trades than you lose. Since there is risk involved, that means that you need to create a method to succeed. You can do that by studying up on our tips and strategies to win and practicing with a no risk trading account. We also recommend learning the basics of candlestick chart reading in order to judge price action. If you are ready to take the next steps and learn more about binary trading then jump back to our Binary Trading Guide list of lessons. To continue reading through the lessons and tutorials. You certainly want to learn to read a candlestick chart as well as find the right broker to trade with. NOTICE. BinaryTrading. org has financial relationships with some of the products and services mentioned on this website, and may be compensated if consumers choose to click on our content and purchase or sign up for the service. – U. S. Government Required Disclaimer – Commodity Futures Trading Commission Futures and Options trading has large potential rewards, but also large potential risks. You must be aware of the risks and be willing to accept them in order to invest in the futures and options markets.


Don’t trade with money you can’t afford to lose. This is neither a solicitation nor an offer to BuySell futures or options. No representation is being made that any account will or is likely to achieve profits or losses similar to those discussed on this web site. The past performance of any trading system or methodology is not necessarily indicative of future results. CFTC rule 4.41 – hypothetical or simulated performance results have certain limitations. unlike an actual performance record, simulated results do not represent actual trading. also, since the trades have not been executed, the results may have under-or-over compensated for the impact, if any, of certain market factors, such as lack of liquidity. simulated trading programs in general are also subject to the fact that they are designed with the benefit of hindsight. no representation is being made that any account will or is likely to achieve profit or losses similar to those shown. Please note: All content on this website is based on our writers and editors experiences and are not meant to accuse any broker with illegal matters. The words Scam, blacklist, fraud, hoax, sucks, etc are used because all content on this website is written in a fictional, entertainment, satirical and exaggerated format and are therefore sometimes disconnected from reality. All readers must personally judge all content and brokers on their own merits. Additionally, visitors comments are not moderated other than the obvious link spam.


People lie. Use your discernment. DISCLAIMER: Trading binary options is extremely risky and you can lose your entire investment. Only deposit and trade with money you can afford to lose. Always refer to local laws, jurisdictions and authorities before performing any action on the internet. The content on this website is NOT financial advice and by use of this site you agree to hold us 100% harmless for any loss. How I Taught Third Graders Binary Numbers. Last week I introduced my son’s third grade class to binary numbers. I wanted to build on my prior visit, where I introduced them to the powers of two. By teaching them binary, I showed them that place value is not limited to base ten, and that there is a difference between numbers and numerals. My presentation was based on base-ten-block-like imagery, since I knew the students were comfortable expressing numbers with base ten blocks. I thought extending the block model to other bases would work well. I think it did.


The Number Twenty-Seven in Tape Flags, Broken Into Powers of Two. Before my presentation, I put twenty-seven tape flags on the whiteboard, in an unorganized fashion like this: (I would have preferred to use magnets instead of tape flags, since they would have been easier to move and align but I didn’t have twenty-seven identical magnets.) I started my presentation by telling the class that I would teach them about something called binary numbers, but that first I would review the numbers they already know — decimal numbers (I took a moment to explain that this was not the same as &ldquodecimals&rdquo). The first thing we did was count the tape flags, and as we counted together I rearranged them into a line: Twenty-Seven Objects, Arranged In a Line. I asked them how they would write that number. One student came up and wrote &ldquo27,&rdquo which is the first answer I expected. Other suggestions were Roman numerals (&ldquoXXVII&rdquo) and &ldquotwenty-seven,&rdquo also as I anticipated. One student suggested writing it in Japanese (I was expecting a foreign language, but Spanish: &ldquoveintisiete&rdquo). Some students suggested arithmetic expressions, like 20 + 7. One unexpected answer was from a girl who wrote it on the board in base ten blocks, which is how I was planning to rearrange the tape flags next! I suggested tally marks as another alternative, and wrote twenty-seven in tally marks on the board. I singled-out the answer &ldquo27&rdquo and said it is written in place value. I reviewed how the places were powers of ten. Then, as the class counted along to twenty-seven, I rearranged the flags into base ten block powers of ten groups, under headings labeled &ldquotens&rdquo and &ldquoones&rdquo: Twenty-Seven Objects, Broken Into Powers of Ten.


We counted the powers of ten and wrote the totals in the blanks I drew below each grouping of blocks we came up with the numeral &ldquo27&rdquo: two tens and seven ones. I told the class that place value is not limited to base ten. I said, for example, you could write any number in base five, or quinary. (I wanted to take an intermediate step to binary, which is the simplest base, having only a maximum of one instance of each power.) I had them compute the powers of five from one to 625, and I explained that these are the places in quinary. I told them we would group the flags into powers of five. I wrote three headings on the board: &ldquotwenty-fives,&rdquo &ldquofives,&rdquo and &ldquoones.&rdquo I asked &ldquoare there any twenty-fives in twenty-seven&rdquo and they said &ldquoyes.&rdquo We then counted out twenty-five flags, which I removed from the decimal grouping we’d just done. I built a block as we went, under the twenty-five label. Next I asked if there were any more twenty-fives in the flags that remained, and they quickly said &ldquono.&rdquo They could also see there were no fives, and that there were only two ones left, which I moved under the ones label.


Twenty-Seven Objects, Broken Into Powers of Five. We counted the powers of five and wrote them under each grouping of blocks, coming up with the numeral &ldquo102&rdquo: one twenty-five, zero fives, and two ones. Some kids wanted to pronounce this as &ldquoone-hundred and two&rdquo, but I told them you pronounce it as &ldquotwenty-seven,&rdquo or &ldquoone-zero-two base five.&rdquo Now I said let’s look at another example of place value: base two, or binary. I said it is based on powers of two. We computed the powers of two from one to thirty-two (my son was rattling them off to 4096 before I could cut him off :)), which they remembered from my last visit. We proceeded as above, except we pulled out the powers of two (from the flags in the quinary grouping): first we looked for sixteens, then eights, then fours, then twos, and then ones. Twenty-Seven Objects, Broken Into Powers of Two. We counted the powers of two and wrote them under each label, coming up with the numeral “11011”: one sixteen, one eight, zero fours, one two, and one one. When I was done with the tape flag examples, I took a moment to explain that base ten has ten digits, base five has five digits, and base two has two digits. As an example, I said that in base ten you could never have a 10 in any place, because that would be the same as a 1 in the next higher place. Similarly for base two, a 2 in a place would equal the next higher power of two, which also would be the same as a 1 in the next higher place. I told the class that you could write any whole number in any base. One kid asked if I could do it in a base that was greater than ten (I forget which base he used as an example).


I said any number could be the base, but you’d have to have enough symbols. I briefly explained why you wouldn’t want a multi-digit number in a place (it would make the numeral ambiguous). I mentioned base sixteen, and said it uses the letters A through F for the values ten through fifteen. (I did not intend to get into hexadecimal, but hey, I wanted to answer the question!) Students as Binary Numbers. At the front of the classroom, just below the whiteboard, I arranged five chairs, facing the class. I wrote the names of the binary places above the chairs, left to right from the class’s point of view: sixteens, eights, fours, twos, ones. I got five volunteers to come up, and said that I would turn them into a binary number. I said if I told them to sit in their chair, they would count as a 0 if I told them to stand in front of their chair, they would count as a 1. For my first example, I put the students in the pattern 11011, which the class correctly read as twenty-seven (they added the place values above the chairs of the standing students — that or they read the numerals I had left on the board under the tape flags :)). I did a few other examples like this, which amounted to binary to decimal conversion. They got them all right. Next I did what amounted to decimal to binary conversion, asking the class how to arrange the volunteers to represent a given number. For example, when I said &ldquonine,&rdquo they called out instructions to make the volunteers stand and sit to make the pattern 1001. They got all of these examples correct as well.


The above discussion took about twenty-five minutes, so with the extra five minutes I squeezed in a demonstration of a binary counter. I took a new set of five volunteers and had the class direct them through the sequence zero to thirty-one. We got through the count, but I think a few students got lost as some of the faster adders called out instructions. In any case, there were definitely some who understood the process, enough to know that when I asked them to display thirty-two, they said we would need another volunteer. If I had more time, I would have done the count a second time, with the volunteers driving the counting I came up with this scheme after I left the class: All volunteers start out sitting, representing zero. Whenever I say &ldquocount&rdquo The ones place volunteer does the opposite of what she is currently doing: if she’s sitting, she stands if she’s standing, she sits. For everyone not in the ones place, if the kid to your left sits, you do the opposite of what you’re currently doing. I think this would have made the counting easier and more fun. ( Update 11712 : I gave this presentation again recently — to fifth graders — using the new counting scheme. It did not go over like I imagined.


The kids were confused about when to stand and sit, and weren’t having fun. In the future, I’d omit binary counting in hindsight, it seems too &ldquocomputery&rdquo for this context.) I mentioned briefly that there is an equivalent of decimals in binary numbers. Instead of the tenths, hundredths, etc. places there are the halves, quarters, eighths, etc. places. I think most of the kids understood the presentation certainly, they were all engaged. I’d like to think it gave them a better understanding of decimal, even if they didn’t understand the details of binary. I told them &ldquoyou may not understand this now, but when you see it again someday, you’ll remember back to this day in third grade and it will come to you.&rdquo Someone then asked what grade they teach this in. I said it’s not really part of any particular math class (as far as I know) but that they would be taught it in a high-school computer class if they took one.


I used number words when I wanted to avoid writing decimal numerals for example, when describing a number or when labeling places. Unfortunately, number words have decimal place value built-in, but that’s the closest I know how to get to a base-independent description of a number. That said, I don’t think the class recognized this, so I don’t think it caused any confusion. I didn’t explain why we broke the numbers down by starting with the largest powers and working down. If I had more time, maybe I would have let them discover the algorithm themselves. I use the term &ldquonumber&rdquo when I really mean &ldquonumeral&rdquo, as in &ldquobinary number&rdquo or &ldquodecimal number.&rdquo This terminology is unfortunate, but it is standard. I used a different approach, but a lot of the same concepts are involved. Rick’s method centered on binary counting, which lead to a discussion of powers and places. My method started with powers and places, and lead to binary numerals and then binary counting. Rick discussed other bases after discussing binary, whereas I discussed them before. Also, he discussed binary arithmetic, but I did not.


One thing I liked about my approach is that I built in the concept of base conversion, showing the equivalence of whole numbers written in any base. I also liked the way I exhibited the concept of &ldquonumber vs. numeration.&rdquo This page contains videos on binary counting, which inspired my own binary counting demonstration. I taught my mother a little differently (at least in my second attempt), mainly because I think most adults don’t think explicitly about place value. I’d love to know if this method works for you if you try it, please let me know! 22 comments. What an awesome idea! What is a way they could utilize what they learned right after you teach them? Is there something online? This is awesome. I teach 3rd grade math at an NGO in Brazil and will give this a try if I can! There is no applet online that I know of that presents you with a collection of objects and lets you rearrange them by base (sounds like a good project for one of my readers 🙂 ). As for general practice with binarydecimal conversion, check out the Cisco Binary Game. Thanks for the feedback.


Good for you. Working with young people is really a treat. We have been teaching binary numbers and C programming to 7 & 8 year olds for a while. They are really easy to work with when the good teacher is at ease with the topic. In reading what you have done I get that you are at ease. All the math I learned in school was due to the comfortable teachers I had. The two that I got not from were definitely out of their league. Keep up the good work. I like it… and learned a couple of things! One thing that got me confused is that the “Ones” columnposition has more than one block per column, you have to count them vertically, on the other columns you can count horizontally. I dug up my son’s old “Growing with Mathematics” workbooks to see how they do it (maybe I should have done that in the first place instead of relying on memory?


). They place the ones both vertically and horizontally, so I don’t think that’s the problem. (I don’t think strict adherence to either vertical or horizontal placement necessarily scales to higher places — and higher bases — anyhow.) They key thing I think they do though is put more space between the ones blocks. As is, mine looks like an incomplete rod I can see why that is confusing. Here’s how I would redo the decimal diagram, for example, in Growing with Mathematics style: Do you think that works better? Thanks for the feedback! I’ve learned another activity for students to be active participants in there learning process. Thanks! I also taught Binary to third graders. I had them sort blue and white mancala beads into as many patterns as they could using exactly 4 beads (blue blue white white, blue white blue white, etc).


Used the smartboard to further examine patterns in binary numbers. Brought in the binary clock – big hit. This was an enrichment lesson during my time unit. Kudos for thinking outside the box 🙂 That sounds like a good exercise. Did any of them figure out a systematic way to do it (wwww, wwwb, wwbw, wwbb, wbww, etc.) before you told them about the binary patterns? I thought about bringing in my binary clock too — but I’ll be sure to do it next time. Thanks for the feedback. I hope some of you who are interested in teaching children about binary will have a look at funforms, a place order, binary, tally mark system. A narrated power point presentation is available at. It’s nice to see someone who’s been thinking of binary numbers almost as long as I have :).


An interesting article. I tried to teach different base counting to a group of year 4’s to support their learning of 5 digit numbers and what the columns actually mean. I ran out of time to get to binary. I had played with 21 as a number and had groups using connectable cubes so they could easily group. I’d love to take it the other way and look at hexadecimal. I wonder if it would be possible to then look at how drawing software adjusts (mixes, averages, subtracts) colours depending on brush options. Do you know if it would facilitate the comprehension of numbers to a children by teaching them first binary (around 4 years old) and then teaching them decimal (around 5 years old). I mean… do you think a young child could process and understand the basics of it? (for example you put 4 bananas on a table and ask him how many there are… then you tell him there is 100 and then count with him: 1-10-11-100!) because if a five years old child could understand those basics, a few years later he could even be able to count, addsubstract, multiplydivide and even exponentiate mentally more than anyone! My point is that math is a language in the same way that English is one and if children could be mathematically bilingual the same way he could be directly, his mathematical development could be insanely boosted! I agree that it is like a second language, but only to a point. Unfortunately, we don’t have words for binary numerals. We pronounce 101 as “one-zero-one”, not as something like “four and one” (or something totally new and not decimal number word based). That said, I think there is great value in introducing another base, though probably after base ten.


Like learning a second language makes you understand language better, learning another base will make you understand numbers better. Then how about *inventing* systematic names for binary numerals, in the same way we invented the decimal ones? Here’s my proposition, from the top of my head: Let’s say, we can read 10110 as deedodeedeedot :)The pattern is simple: 1 is the “dee” sylable, 0 is the “do” syllable. The ending “t” (unvoiced “d”) is just to mark the least significant digit, so that we can also express fractions this way: 101.001 is deedodeetododee. Or we could also stick with the unvoiced consonant for all the fractions to make deedodeetototee. Although this is quite easy to readpronounce, it is no longer easy to write, because the names get long. So I think a better option could be to something more compact, where we would not waste more letters than needed. The simplest conversion (a direct one) would be to replace every 𔄘” with one letter, and every 𔄙” with another, but there is a tiiiiny problem with it: consecutive 0s or 1s would then melt together in speech, making it difficult to distinguish how many of them is there 😛 Therefore we need to use syllables anyway, made of two letters: a consonant and a wovel. So we need at least *two* letters for each binary digit, which is not as compact as the binary numeral itself, but it is the best we can do, I guess. To make it less repetitive and easier to distinguish, we can use a different wovel for 𔄘” and different for 𔄙”, and the same goes with the consonants. In my native language, we pronounce the letter “i” as the English “ee”, so the notation is quite space-efficient and easy to pronounce & distinguish from hearing. If we wanted something more compact, we could also try to join consecutive digits of the same kind somehow into one syllable, in groups of two, three etc., by changing the consonant that goes with it. One possible code could be: So now we can name numbers more efficiently 😉 almost like abbreviating them through tetral and octal 😉 Some examples: So we can see that the more digits repeat, the more space we can save through this “run-length encoding” scheme 🙂 Another possibility for the RLE is to double the number of repeating digits with each new code, which should make it even more space efficient in the long run (no pun intended, but appreciated 😉 ). I guess this could also facilitate mental calculations.


To facilitate learning this code, you can make diagrams like this one: 111 00 1 0000 1. and after a while your brain should pick up these syllables along with their corresponding bit sequences pretty quick 😉 For longer or more sparse numbers, like 0.000000000000000000001, it could become cumbersome to write down or pronounce them (sasasasati) 😛 so we can introduce something similar to the scientific (exponential IEEE) notation by stating the mantissa and the exponent separated by some unique letter, let’s say “r”. Then, for the long number above, we can simply write down pronounce the scale first (because it tells the most), then saywrite “r”, and then write down pronounce only the significant digits (𔄙” in this case), which gives: titatitatardi (1×2^-10100 in binary, or 1×2^-20 in decimal). The system is so simple that I think it could be easily taught to a kid even before the decimal system (except the exponential notation, which could come later). Have always been interested in teaching kids about ‘numbers to other bases’! I think introducing binary, then hex, up front is helpful..since it quickly sends. out the idea of number bases with other than 10 numerals? Then you can get right into it by showing how each 4 bit binary segment of a 16 bit binary word equates to each single hex digit of a 4 digit hex word: 1111 1011 0111 1001. etc…this is solid computer lingo! I’m in the process of compiling computer science lessons for teachers, and your lesson really helped me clarify language and methodology that children will understand.


Thank you so much for sharing! I’m glad it was helpful. This is some much more interesting and simpler than the lesson we use on our computer class with our 5th graders. They glaze over after 10 minutes. I was looking for more interesting material for them. I will definitely try this this year. This looks amazing! I teach Engineering and Technology to 1-4th grades, and I definitely love the idea of this for my 3rd and 4th graders! Does anyone have any ideas for how to introduce this to 1st and 2nd (my biggest concern is that their multiplication skills aren’t the strongest, or nonexistent at that age). I read a book to first graders that was about the powers of two, although it was not stated in those terms. Maybe you could start there. Leave a Reply Cancel reply. (Cookies must be enabled to leave a comment.


it reduces spam.) Subscribe. Fathers, sons, daughters, brothers, sisters, aunts, and uncles should read this too. Middle-schoolers, high-schoolers, and college grads might learn something too. Digital Electronics: Binary Basics. Electronics All-in-One For Dummies. Digital electronic circuits rely on the binary number system. Thus, before you can understand the details of how digital circuits work, you need to understand how the binary numbering system works. Binary is one of the simplest of all number systems because it has only two numerals: 0 and 1. In the decimal system (with which most people are accustomed), you use 10 numerals: 0 through 9. In an ordinary decimal number, such as 3,482, the rightmost digit represents ones the next digit to the left, tens the next, hundreds the next, thousands and so on. These digits represent powers of ten: first 10 0 (which is 1) next, 10 1 (10) then 10 2 (100) then 10 3 (1,000) and so on. In binary, you have only two numerals rather than ten, which is why binary numbers look somewhat monotonous, as in 110011, 101111, and 100001. The positions in a binary number (called bits rather than digits) represent powers of two rather than powers of ten: 1, 2, 4, 8, 16, 32, and so on. To figure the decimal value of a binary number, you multiply each bit by its corresponding power of two and then add the results. The decimal value of binary 10111, for example, is calculated as follows: Fortunately, converting a number between binary and decimal is something that a computer is good at — so good, in fact, that you’re unlikely ever to need to do any conversions yourself. The point of learning binary is not to be able to look at a number such as 1110110110110 and say instantly, “Ah! Decimal 7,606!


” Here are some of the most interesting characteristics of binary, which explain how the system is similar to and different from the decimal system: In decimal, the number of decimal places allotted for a number determines how large the number can be. If you allot six digits, for example, the largest number possible is 999,999. Because 0 is itself a number, however, a 6-digit number can have any of 1 million different values. Similarly, the number of bits allotted for a binary number determines how large that number can be. If you allot 8 bits, the largest value that number can store is 11111111, which happens to be 255 in decimal. Thus, a binary number that is 8 bits long can have any of 256 different values (including 0). To quickly figure how many different values you can store in a binary number of a given length, use the number of bits as an exponent of two. An 8-bit binary number, for example, can hold 2 8 values. Because 2 8 is 256, an 8-bit number can have any of 256 different values. This is why a byte — 8 bits — can have 256 different values. This “powers of two” thing is why digital systems don’t use nice, even round numbers for measuring such values as memory capacity. A value of 1k, for example, isn’t an even 1,000 bytes: It’s actually 1,024 bytes, because 1,024 is 2 10 . Similarly, 1MB isn’t an even 1,000,000 bytes, but 1,048,576 bytes, which happens to be 2 20 .

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