512 in binary
The decimal number 512 written in binary is 1000000000. In hexadecimal it is 200, and in octal 1000.
| Base | Value |
|---|---|
| Decimal (base 10) | 512 |
| Binary (base 2) | 1000000000 |
| Hexadecimal (base 16) | 200 |
| Octal (base 8) | 1000 |
How 512 converts to binary
Binary is base 2, so each place is worth twice the one to its right: 1, 2, 4, 8, 16, and so on. Adding up the place values that have a 1 gives back the decimal number:
512 = 512
That is why 512 in decimal is 1000000000 in binary: it is exactly the set of powers of two that add up to 512. To get the hexadecimal form, group the bits into fours from the right and write each group as one hex digit, which gives 200.
Convert any number
Type any value and watch all three bases update live in the binary converter, or read the theory behind it in the lessons on binary numbers and hexadecimal.
Want to build the circuit that does this? Open the lab and wire up an adder, or follow the free course from a single transistor up to an 8-bit CPU.
Open the binary converter →Frequently asked
What is 512 in binary?
512 in binary is 1000000000. That is the sum of the powers of two 512, which add up to 512.
What is 512 in hexadecimal?
512 in hexadecimal is 200. You get it by grouping the binary digits 1000000000 into fours from the right and writing each group as one hex digit.
How many bits is 512?
512 needs 10 bits in binary (1000000000). It fits in 16 bits (two bytes).