Powers of 2

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.