The following table shows the decimal values of binary numbers. Just as the largest value in a decimal number is all 9's, the largest value in a group of binary digits is all 1's. A decimal digit provides 10 distinct values (0 through 9), whereas a binary digit has only two (0 or 1). See
NIST binary and
space/time.
COMMON BINARY STRUCTURES
Largest
Total Values Decimal Value
Bits (Including 0) (All 1 Bits)
4 16 16-1 15
8 256 256-1 255
16 64K (kilo) 64K-1 65,535
32 4G (giga) 4G-1 4,294,967,295
64 16E (exa) 16E-1 (see below)
BINARY VALUES FROM 1 TO 64 BITS
Largest
Total Values Decimal Value
Bits (Including 0) (All 1 Bits)
1 2 1 (1)
2 4 11 (3)
3 8 111 (7)
4 16 1111 (15)
5 32 1 1111 (31)
6 64 11 1111 (63)
7 128 111 1111 (127)
8 256 1111 1111 (255)
9 512 1 1111 1111 (511)
Kilo (thousand)
10 1,024 1K 11 1111 1111
11 2,048 2K 111 1111 1111
12 4,096 4K 1111 1111 1111
13 8,192 8K 1 1111 1111 1111
14 16,384 16K 11 1111 1111 1111
15 32,768 32K 111 1111 1111 1111
16 65,536 64K 1111 1111 1111 1111
17 131,072 128K 1 1111 1111 1111 1111
18 262,144 256K 11 1111 1111 1111 1111
19 524,288 512K 111 1111 1111 1111 1111
Mega (million)
20 1,048,576 1M
21 2,097,152 2M
22 4,194,304 4M
23 8,388,608 8M
24 16,777,216 16M
25 33,554,432 32M
26 67,108,864 64M
27 134,217,728 128M
28 268,435,456 256M
29 536,870,912 512M
Giga (billion)
30 1,073,741,824 1G
31 2,147,483,648 2G
32 4,294,967,296 4G
33 8,589,934,592 8G
34 17,179,869,184 16G
35 34,359,738,368 32G
36 68,719,476,736 64G
37 137,438,953,472 128G
38 274,877,906,944 256G
39 549,755,813,888 512G
Tera (trillion)
40 1,099,511,627,776 1T
41 2,199,023,255,552 2T
42 4,398,046,511,104 4T
43 8,796,093,022,208 8T
44 17,592,186,044,416 16T
45 35,184,372,088,832 32T
46 70,368,744,177,664 64T
47 140,737,488,355,328 128T
48 281,474,976,710,656 256T
49 562,949,953,421,312 512T
Peta (quadrillion)
50 1,125,899,906,842,624 1P
51 2,251,799,813,685,248 2P
52 4,503,599,627,370,496 4P
53 9,007,199,254,740,992 8P
54 18,014,398,509,481,984 16P
55 36,028,797,018,963,968 32P
56 72,057,594,037,927,936 64P
57 144,115,188,075,855,872 128P
58 288,230,376,151,711,844 256P
59 576,460,752,303,423,480 512P
Exa (quintillion)
60 1,152,921,504,606,846,976 1E
61 2,305,843,009,213,693,952 2E
62 4,611,686,018,427,387,904 4E
63 9,223,372,036,854,775,808 8E
64 18,446,744,073,709,551,616 16E