Powers of 2
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A power of two means a number of the form 2n where n is an integer. Because two is the base of the binary number system, powers of two are common in and digital signals and computational applications.
Bit-depth | Values | Range | ||
---|---|---|---|---|
1 | 21 | 0 1 | 2 | 0, 1 |
2 | 22 | 00 01 10 11 | 4 | –1 to +2 |
3 | 23 | 000 001 010 011 100 101 110 111 | 8 | –3 to +4 |
4 | 24 | 0000 0001 0010 0011 0100 0101 0110 0111 1000 1001 1010 1011 1100 1101 1110 1111 | 16 | –7 to +8 |
5 | 25 | 00000 00001 00010 00011 00100 00101 00110 00111 01000 01001 01010 01011 etc | 32 | –15 to +16 |
6 | 26 | 000000 000001 000010 000011 000100 000101 000110 000111 001000 001001 etc | 64 | –31 to +32 |
8 | 28 | 00000000 00000001 00000010 00000011 00000100 00000101 00000110 00000111 etc | 256 | –127 to +128 |
16 | 216 | 0000000000000000 0000000000000001 0000000000000010 0000000000000011 etc | 65 536 | -32 767 to +32 768 |
24 | 224 | 000000000000000000000000 000000000000000000000001 etc | 16 777 216 | –8 388 607 to +8 388 608 |
32 | 232 | 00000000000000000000000000000000 00000000000000000000000000000001 etc | 4 294 967 296 | –2 147 483 647 to +2 147 483 648 |
64 | 264 | 0000000000000000000000000000000000000000000000000000000000000000 etc | 1.8 × 1019 | ±9 × 1018 |
128 | 2128 | You get the idea | 3.4 × 1038 | ±1.7 × 1019 |
External links
- Binary coded decimal — Wikipedia page.