Counting and Equating in Binary


Introduction: 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.

Step 1: The Finger Digits (part 1)

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.

Step 2: Adding

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

Step 3: Subtracting

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.

Step 4: Numbers (part 2)

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.

Step 5: Place Value

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.

Step 6: Equation Form

now for equation form

this shows 13 - 9 = 4

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



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    22 Discussions

    I'm thinking that your instructable is not that friendly to everyone. Meaning that it is quite vague with your explanations. I'm talking about the Counting portion in respect to the part 5. The average person would not understand the way your pic and Very brief explanation of place values. Maybe tweak it to show each place value step. Overall I think it's Cool where you show counting using your hands. This reminds me of the way This Math Wizard does with School kids. So, if you could go a bit further with your explanations, I'm sure more Young School Children would "get it" and may use it in school and thereafter. So I do have to give you a hand ? and a ?. Good job!

    01111001 01101111 01110101 00100000 01100100 01100101 01100011 01101111 01100100 01100101 01100100 00100000 01101101 01111001 00100000 01100010 01101001 01101110 01100001 01110010 01111001 00100000 01110111 01100101 01101100 01101100 00100000 01110011 01101001 01101110 01100011 01100101 00100000 01111001 01101111 01110101 00100000 01100111 01101111 01110100 00100000 01110100 01101000 01101001 01110011 00100000 01100110 01100001 01110010 00100000 01100011 01101000 01100101 01100011 01101011 00100000 01101111 01110101 01110100 00100000 01101101 01111001 00100000 01100110 01100001 01100011 01100101 01100010 01101111 01101111 01101011 00100000 01110000 01100001 01100111 01100101 00100000 01100101 01101100 01100101 01100011 01110100 01110010 01101001 01100011 01110010 01100101 01100001 01110100 01101001 01101111 01101110 01110011

     binary code should atleast be wrote out in 8-bit coding 
    you only have 6 up there

    1 reply

    i was just pointing out the basics, but i'll add that in there. Thanks

    This day and age no one gives the Arabs the credit their due. Historically they were also known as the most tolerant people too!

    Wow this is really interesting, I've understood all the adding and subtracting but with the row of binary there I'm stumped, what do i do with it? awesome explaining by the way, 5 stars!

    No, 10 is 1010 1011 is 11. Anytime you see a binary number that ends in 1 it will be odd.

    frederick pohl wrote an essay about this. "how to count on your fingers" it was at the end of the his short-story collection "digits and dastards".

    Two hands can count to 1023, not 1942.
    All five fingers up on one hand = 31... (1+2+4+8+16...)
    All five fingers on both hands = 1023... (...+32+64+128+256+512)

    1 reply

    i may have typed in the calculater wrong. i didn't have long to get this on.

    you didnt explain anything. "yo add you just change your fingers to match the number" sure, this defines adding but doesnt tell me how to do it

    1 reply

    your fingers just represent it. You don't solve problems with a pen or paper, it just acts as memory and communication.