## Introduction: Easy Way to Count in Binary! 1's and 0's

Have you every wanted to count like a computer, or just wondered how computers count this is the instructable for you!

First we need a little information of binary. Computers have 2 numbers in there system except there not numbers there switches. 1 meaning "ON" (like a light bulb) or 0 meaning "OFF"

So...

10110011

would be...

On, off, on, on, off, off, on, on

Then the computer interprets that into its numbering system, which later may convert it into ASCII. Correct 8-bit binary only has 8 digits. There are 16, 32, 64, and 128 bit processors that take more numbers than just 8 at a time. This tutorial is for 8-bit.

Materials:

Paper and Pencil

(optional) Genius to help

## Step 1: Preparing

On the paper write this on the top.

This is the 8-bit binary cheat sheet. Column 8 (the one all the way to the right) is 1, column 7 is just a double of the earlier column, etc.

"Binary Cheat Sheet:

128 - 64 - 32 - 16 - 8 - 4 - 2 - 1"

and pick a number between 1 and 255

My number is 175

## Step 2: Analyze the Number

Analyzing your number is very easy, here how it works.

Get your paper and right down your number under your Cheat Sheet.

First does the first number (128) fit in your number? The reason you check this, is because it helps you know if it is a 1 or a 0. Which makes up your number.

128 fits 175

If so subtract your number by the number you checked, then repeat for the rest of the numbers. Also if it did fit that means its a 1 and if it doesn't its a zero. This prepares the number for the next digit in the binary number.

so I'll start over...

175 - 128 = 47 *it fits so its a one* (1 _ _ _ _ _ _ _)

47 - 64 = -17 *Invalid so its a zero* (10 _ _ _ _ _ _)

47 - 32 = 15 *it fits so its a one* (101 _ _ _ _ _)

15 - 16 = -1 *Invalid so its a zero* (1010 _ _ _ _)

15 - 8 = 7 *it fits so its a one* (10101 _ _ _)

7 - 4 = 3 *it fits so its a one* (101011 _ _)

3 - 2 = 1 *it fits so its a one* (1010111 _)

1 - 1 = 0 *it fits so its a one* (10101111)

If you didn't get zero you did something wrong and go back and check your work.

## Step 3: There Is Your Binary Number!

If you did everything correctly, you should have a 8 digit number. Like so, 10101111.

Thanks for reading my instructable.

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## 18 Comments

Hey is this functional with 12

"First we need a little information of binary. Computers have 2 numbers in there system except there not numbers there switches."

SHOULD BE

"First we need a little information of binary. Computers have 2 numbers in THEIR system except THEY'RE not numbers THEY'RE switches."

Very simple way of converting decimal number to a binary digit.

175 /2 = 87 ignore the r.

87/2= 43 ignore the r

43/2 = 21. Ignore the r

21/2= 10. ............... r

10/2=5. ................ r

5/2 =2. .................. r

2/2=1. ...................r that’s it that the end. The sequence you have look like this :

1-2-5-10-21-43-87-175

Under each odd number you put 1

and under each even number you 0

The binary digit of 175 is 10101111

Thank you

Thanks a lot for wonderful and very easy way to decode and encode binary number.

10101111? would that be the answer? Im really trying to understand this lol

Upto how much values this idea can be used. Making it simple how will I calculate a value like 900

you would need to display this binary code aprox. 11 times (10.58 to be exact) "01010101"

Thank you so, so much. I have been trying to figure this out for some time now. No one, and I mean no one was able to get me to understand how to do this. I got on your site for the first time and now I got it. Please keep me informed as I will be using your site for future help.

God Bless you all.

Martin L. Williams

I read this in a book called ''the new how things work+ 80 new pages'' and read a whole chapter on binary numbers an microprocessors and scanners and was really interesting!

8-bit eh? You may have noticed this:

_______________________

128 | 64 | 32 | 16 | 8 | 4 | 2 | 1 |

----------------------------------------

128 = 2 to the 7th power

64 = 2 to the 6th power

32 = 2 to the 5 th power

etc...

Use that ASCII chart up there for reference.