Convert 100 to binary

Convert numbers between binary, decimal, octal, and hexadecimal.

Conversion

Answer

1100100

To convert 100 to binary, repeatedly divide by 2 and record the remainders.

Step 1 — Convert the integer part (repeated division by 2)

Divide 100 by 2 repeatedly. Record the remainder at each step:

Divide	Quotient	Remainder
100	50	0
50	25	0
25	12	1
12	6	0
6	3	0
3	1	1
1	0	1

Read the remainders from bottom to top:

Integer part: 1100100

(100)₁₀ = (1100100)₂

How to convert 100 to binary

To convert 100 to binary, repeatedly divide by the target base and collect the remainders.

This is a base conversion — numbers can be represented in different bases: binary (base 2), octal (base 8), decimal (base 10), hexadecimal (base 16).

Frequently asked questions

What is the answer to 100 to binary?
The answer is 1100100.

What method is used?
Divide by the target base repeatedly, collecting remainders. Read remainders bottom-to-top for the result.