Skip to content

1024 in Binary

Decimal 1024 equals 10000000000 in binary.

Why this number matters: 1024 is 2¹⁰ (1 KiB in binary units). Sizes in computing double from here: 2048, 4096, 8192...

1024 in all number bases

Decimal1024
Hexadecimal0x400
Binary0100 0000 0000
Octal2000

Try another value

Edit this value or switch its base. Your changes are calculated in your browser with exact integer arithmetic.

Input base:
Decimal1024
Hex0x400
Binary0b10000000000
Octal0o2000

How 1024 converts from decimal to binary

Divide by 2 repeatedly and keep each remainder, then read the remainders from bottom to top:

1024÷ 2 =512remainder0
512÷ 2 =256remainder0
256÷ 2 =128remainder0
128÷ 2 =64remainder0
64÷ 2 =32remainder0
32÷ 2 =16remainder0
16÷ 2 =8remainder0
8÷ 2 =4remainder0
4÷ 2 =2remainder0
2÷ 2 =1remainder0
1÷ 2 =0remainder1

Result (remainders bottom to top): 10000000000

This tool runs entirely in your browser - nothing you enter is uploaded or stored.

Want to learn the method behind this tool? Read How to Convert Decimal to Binary - the full step-by-step guide.