1000 in binary
The decimal number 1000 written in binary is 1111101000. In hexadecimal it is 3E8, and in octal 1750.
| Base | Value |
|---|---|
| Decimal (base 10) | 1000 |
| Binary (base 2) | 1111101000 |
| Hexadecimal (base 16) | 3E8 |
| Octal (base 8) | 1750 |
How 1000 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 + 256 + 128 + 64 + 32 + 8 = 1000
That is why 1000 in decimal is 1111101000 in binary: it is exactly the set of powers of two that add up to 1000. To get the hexadecimal form, group the bits into fours from the right and write each group as one hex digit, which gives 3E8.
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 1000 in binary?
1000 in binary is 1111101000. That is the sum of the powers of two 512 + 256 + 128 + 64 + 32 + 8, which add up to 1000.
What is 1000 in hexadecimal?
1000 in hexadecimal is 3E8. You get it by grouping the binary digits 1111101000 into fours from the right and writing each group as one hex digit.
How many bits is 1000?
1000 needs 10 bits in binary (1111101000). It fits in 16 bits (two bytes).