Counting and Equating in Binary

by knoxarama in Circuits > Electronics

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Counting and Equating in Binary

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Give a general description of the Instructablethis is my second binary instructable. This goes into math equations done in binary. section 1 shows how to count binary with your hands, while section 2 shows you in written form.

Just a side note, when counting in binary, you should always use at least 8 digits. In this instructable, i will not.

The Finger Digits (part 1)

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Each finger represents a number. These numbers, when used together, are added to create a new number.
Notice that each number doubles as it goes on. To continue, place your hands together and continue at 32.
The number with all five fingers is 31. On the next hand, you can go up to 1942. This includes every number from 0-1942.

Adding

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All you do for adding is change your fingers to match your number. its easy.

Subtracting

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subtracting is just adding in reverse. Now, everything follows like this. multiplying, dividing, and everything else. Just like any number, this is just communicating. Otherwise its mental. But now you can say you count like a computer. Well, you can when you read part 2.

Numbers (part 2)

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Now, numbers are almost the same. almost. This way of counting allows you to count very high with only 1 and zero. thank the arabs for spreading the magical zero.


Place Value

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The place value goes right to left. the 1 indicates a digit while 0 indicates nothing. When you raised your finger in part 1, that was a 1. Down fingers were 0. But, unlike finger counting, you can have as many digits as you want. And these can be written in equation.
the number below represents 18.

Equation Form

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now for equation form

this shows 13 - 9 = 4

or you can do 1000111010111010101010110100101 which stands for. can you answer?