Convert Decimal Number to Binary: A Step towards Understanding Binary Numbers

How to convert decimal numbers into binary numbers?

Let's explore the process of converting decimal numbers into binary numbers for better understanding.

Decimal to Binary Conversion:

Converting a decimal number into binary involves a step-by-step process of division by 2 to determine the binary representation.

When converting a decimal number to binary, the process typically involves dividing the decimal number by 2 successively and noting down the remainders at each step.

For example, let's take the decimal number 192:

192/2 = 96 (remainder 0)
96/2 = 48 (remainder 0)
48/2 = 24 (remainder 0)
24/2 = 12 (remainder 0)
12/2 = 6 (remainder 0)
6/2 = 3 (remainder 0)
3/2 = 1 (remainder 1)
1/2 = 0 (remainder 1)

By reading the remainders from bottom to top, the binary representation of 192 would be 11000000.

This process can be applied to other decimal numbers as well, helping us gain a deeper understanding of binary numbers and their conversion.