Number in Binary System

Converts numbers from decimal system to binary.

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About Binary System

The binary system is a way of representing numbers using only two digits: 0 and 1. Unlike the decimal system, which has ten digits (0 to 9), the binary system has only two digits, and we use them repeatedly.

How to Convert Decimal to Binary

We divide the number by 2 and record the remainders:

Divide 10 by 2. Get 5, remainder 0.
Now divide 5 by 2. Get 2, remainder 1.
Divide 2 by 2. Get 1, remainder 0.
Divide 1 by 2. Get 0, remainder 1.

Now write down the remainders in reverse order: 1010. This is the binary representation of the number 10.

So, to convert a decimal number to binary, divide it by 2 and record the remainders until the result is 0.

Binary Numbers Table

1	1
2	10
3	11
4	100
5	101
6	110
7	111
8	1000
9	1001
10	1010
50	110010
100	1100100
500	111110100
1000	1111101000
5000	1001110001000
10000	10011100010000
100000	11000011010100000
1000000	11110100001001000000

Created by Alex Fedorov
Last updated : December 8, 2024