100 in 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 the decimal number 100 to binary

To convert a decimal number to binary, divide it by 2 and record the remainders until the result of the division is 0:

• Divide 100 by 2. You get 50, remainder 0.
• Divide 50 by 2. You get 25, remainder 0.
• Divide 25 by 2. You get 12, remainder 1.
• Divide 12 by 2. You get 6, remainder 0.
• Divide 6 by 2. You get 3, remainder 0.
• Divide 3 by 2. You get 1, remainder 1.
• Divide 1 by 2. You get 0, remainder 1.

Now write the remainders in reverse order: 1100100. This is the binary representation of the number 100.