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Written calculation with the
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Written addition with the binary systemWritten addition with the binary system is practically the same as in the decimal system. The only difference is that in the binary system there aren’t any tens and hundreds like in the decimal system; just fours and eights etc. Other than that, there are only two digits in the binary system: 0 and 1.
This means that you don’t have to transfer a number when the sum is more than 10. You have to transfer the number when it is higher than 2 since, for example, two eights make one sixteen. Example:
Written subtraction with the binary systemWritten subtraction in the binary system also corresponds to the decimal system. But instead of calculating with tens and hundreds, we are subtracting with twos, fours and so on. We have to be careful with transferring here also: When the number from which is being subtracted has to be expanded, you can’t just take the next digit like in the decimal system. You have to add a two, four, and six, so on and so forth, whereas for a two, one will be transferred, for a four, a two, for a six, a three etc.
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