1000 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 1000 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 1000 by 2. You get 500, remainder 0.
• Divide 500 by 2. You get 250, remainder 0.
• Divide 250 by 2. You get 125, remainder 0.
• Divide 125 by 2. You get 62, remainder 1.
• Divide 62 by 2. You get 31, remainder 0.
• Divide 31 by 2. You get 15, remainder 1.
• Divide 15 by 2. You get 7, remainder 1.
• Divide 7 by 2. You get 3, remainder 1.
• 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: 1111101000. This is the binary representation of the number 1000.