4 in binary
The decimal number 4 written in binary is 100. In hexadecimal it is 4, and in octal 4.
| Base | Value |
|---|---|
| Decimal (base 10) | 4 |
| Binary (base 2) | 100 |
| Hexadecimal (base 16) | 4 |
| Octal (base 8) | 4 |
How 4 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:
4 = 4
That is why 4 in decimal is 100 in binary: it is exactly the set of powers of two that add up to 4. To get the hexadecimal form, group the bits into fours from the right and write each group as one hex digit, which gives 4.
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 4 in binary?
4 in binary is 100. That is the sum of the powers of two 4, which add up to 4.
What is 4 in hexadecimal?
4 in hexadecimal is 4. You get it by grouping the binary digits 100 into fours from the right and writing each group as one hex digit.
How many bits is 4?
4 needs 3 bits in binary (100). It fits in a single 8-bit byte.