1024 in Binary
1024 = 10000000000₂
The decimal number 1024 is 100 0000 0000 in binary.
Step by step
- 1024 ÷ 2 = 512 remainder 0
- 512 ÷ 2 = 256 remainder 0
- 256 ÷ 2 = 128 remainder 0
- 128 ÷ 2 = 64 remainder 0
- 64 ÷ 2 = 32 remainder 0
- 32 ÷ 2 = 16 remainder 0
- 16 ÷ 2 = 8 remainder 0
- 8 ÷ 2 = 4 remainder 0
- 4 ÷ 2 = 2 remainder 0
- 2 ÷ 2 = 1 remainder 0
- 1 ÷ 2 = 0 remainder 1
- Read the remainders from bottom to top: 10000000000.
Check the answer by adding the place values: 1×1024 + 0×512 + 0×256 + 0×128 + 0×64 + 0×32 + 0×16 + 0×8 + 0×4 + 0×2 + 0×1 = 1,024. Each 1 bit adds its power of two and each 0 bit adds nothing.
Details
- Binary
- 100 0000 0000
- 8-bit form
- Needs 11 bits
- Hexadecimal
- 400
- Octal
- 2000
- Bits needed
- 11
- Number of 1 bits
- 1
How it works
Binary is base 2: each digit is a bit worth a power of two (1, 2, 4, 8, 16, 32 …). To convert a decimal number to binary, divide it by 2 again and again, writing down each remainder (0 or 1), until the quotient reaches 0. The binary number is the remainders read from the last one to the first. To check, add the powers of two where the bits are 1.
Nearby values
Related conversions
Frequently asked questions
What is 1024 in binary?
10000000000.
How do you convert 1024 to binary?
Divide by 2 repeatedly and read the remainders from bottom to top.
How many bits are needed for 1024?
11 bits.
What is 1024 in hexadecimal?
400.