1000000 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 1000000 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 1000000 by 2. You get 500000, remainder 0.
• Divide 500000 by 2. You get 250000, remainder 0.
• Divide 250000 by 2. You get 125000, remainder 0.
• Divide 125000 by 2. You get 62500, remainder 0.
• Divide 62500 by 2. You get 31250, remainder 0.
• Divide 31250 by 2. You get 15625, remainder 0.
• Divide 15625 by 2. You get 7812, remainder 1.
• Divide 7812 by 2. You get 3906, remainder 0.
• Divide 3906 by 2. You get 1953, remainder 0.
• Divide 1953 by 2. You get 976, remainder 1.
• Divide 976 by 2. You get 488, remainder 0.
• Divide 488 by 2. You get 244, remainder 0.
• Divide 244 by 2. You get 122, remainder 0.
• Divide 122 by 2. You get 61, remainder 0.
• Divide 61 by 2. You get 30, remainder 1.
• Divide 30 by 2. You get 15, remainder 0.
• 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: 11110100001001000000. This is the binary representation of the number 1000000.