Number in Binary System

Converts numbers from decimal system to binary.

Convert to binary system

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:

  1. Divide 10 by 2. Get 5, remainder 0.
  2. Now divide 5 by 2. Get 2, remainder 1.
  3. Divide 2 by 2. Get 1, remainder 0.
  4. 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

11
210
311
4100
5101
6110
7111
81000
91001
101010
50110010
1001100100
500111110100
10001111101000
50001001110001000
1000010011100010000
10000011000011010100000
100000011110100001001000000