5000 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 5000 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 5000 by 2. You get 2500, remainder 0.
• Divide 2500 by 2. You get 1250, remainder 0.
• Divide 1250 by 2. You get 625, remainder 0.
• Divide 625 by 2. You get 312, remainder 1.
• Divide 312 by 2. You get 156, remainder 0.
• Divide 156 by 2. You get 78, remainder 0.
• Divide 78 by 2. You get 39, remainder 0.
• Divide 39 by 2. You get 19, remainder 1.
• Divide 19 by 2. You get 9, remainder 1.
• Divide 9 by 2. You get 4, remainder 1.
• Divide 4 by 2. You get 2, remainder 0.
• Divide 2 by 2. You get 1, remainder 0.
• Divide 1 by 2. You get 0, remainder 1.

Now write the remainders in reverse order: 1001110001000. This is the binary representation of the number 5000.