# Definition: binary values

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

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
```