Here, we understand how to convert decimal integers to binary. Here, we will divide the decimal by 2 repeatedly. Let us use the decimal number 37 as an example. And divide it by 2 repeatedly.
37 divided by 2 repeatedly
37 ÷ 2 = 18 with a remainder of 1
18 ÷ 2 = 9 with a remainder of 0
9 ÷ 2 = 4 with a remainder of 1
4 ÷ 2 = 2 with a remainder of 0
2 ÷ 2 = 1 with a remainder of 0
1 ÷ 2 = 0 with a remainder of 1
Here you read the remainder in reverse order –
The remainder in reverse order is 100101. So, the decimal number 37 is equivalent to the binary number 100101.
Here, you have to divide the decimal number by 2 repeatedly in this process and note down the remainder, till the quotient becomes 0. The remainder, when read in reverse order, gives you the binary representation.