32 in binary
The decimal number 32 written in binary is 100000. In hexadecimal it is 20, and in octal 40.
| Base | Value |
|---|---|
| Decimal (base 10) | 32 |
| Binary (base 2) | 100000 |
| Hexadecimal (base 16) | 20 |
| Octal (base 8) | 40 |
How 32 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:
32 = 32
That is why 32 in decimal is 100000 in binary: it is exactly the set of powers of two that add up to 32. To get the hexadecimal form, group the bits into fours from the right and write each group as one hex digit, which gives 20.
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 32 in binary?
32 in binary is 100000. That is the sum of the powers of two 32, which add up to 32.
What is 32 in hexadecimal?
32 in hexadecimal is 20. You get it by grouping the binary digits 100000 into fours from the right and writing each group as one hex digit.
How many bits is 32?
32 needs 6 bits in binary (100000). It fits in a single 8-bit byte.