The following table shows the decimal value of a binary number when all bits in the binary number are 1. Just as the largest number in a group of decimal digits is all 9's, the largest number in a group of binary digits is all 1's.
The first 16 bits also show the actual binary number with all bits set to 1 and its decimal equivalent. Just like the decimal number 9 provides 10 distinct values (0-1-2-3-4-5-6-7-8-9), the binary number 1 provides two possible values (0-1). Hence, the largest number in a given set of digits is always 1 less than the total possible values.
Common Binary Values
Prior to the table is a summary of binary values that are commonly used by hardware and software. See NIST binary.
The first 16 bits also show the actual binary number with all bits set to 1 and its decimal equivalent. Just like the decimal number 9 provides 10 distinct values (0-1-2-3-4-5-6-7-8-9), the binary number 1 provides two possible values (0-1). Hence, the largest number in a given set of digits is always 1 less than the total possible values.
Common Binary Values
Prior to the table is a summary of binary values that are commonly used by hardware and software. See NIST binary.
COMMON BINARY VALUES
(see following table for all values)
Bits Total Values
4 16
8 256
15 32,768 32K
16 65,536 64K
24 16,777,216 16M
32 4,294,967,296 4G
48 281,474,976,710,656 256T
64 18,446,744,073,709,551,616 16E
BINARY VALUES FROM 1 TO 64 BITS
Total Actual Decimal
Bits Values Binary Equivalent
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
K = KILO (kilobits, kilobytes, etc.)
10 1K 1,024 11 1111 1111 1,023
11 2K 2,048 111 1111 1111 2,047
12 4K 4,096 1111 1111 1111 4,095
13 8K 8,192 1 1111 1111 1111 8,191
14 16K 16,384 11 1111 1111 1111 16,383
15 32K 32,768 111 1111 1111 1111 32,767
16 64K 65,536 1111 1111 1111 1111 65,535
17 128K 131,072
18 256K 262,144
19 512K 524,288
M = MEGA (megabits, megabytes, etc.)
20 1M 1,048,576
21 2M 2,097,152
22 4M 4,194,304
23 8M 8,388,608
24 16M 16,777,216
25 32M 33,554,432
26 64M 67,108,864
27 128M 134,217,728
28 256M 268,435,456
29 512M 536,870,912
G = GIGA (gigabits, gigabytes, etc.)
30 1G 1,073,741,824
31 2G 2,147,483,648
32 4G 4,294,967,296
33 8G 8,589,934,592
34 16G 17,179,869,184
35 32G 34,359,738,368
36 64G 68,719,476,736
37 128G 137,438,953,472
38 256G 274,877,906,944
39 512G 549,755,813,888
T = TERA (terabits, terabytes, etc.)
40 1T 1,099,511,627,776
41 2T 2,199,023,255,552
42 4T 4,398,046,511,104
43 8T 8,796,093,022,208
44 16T 17,592,186,044,416
45 32T 35,184,372,088,832
46 64T 70,368,744,177,664
47 128T 140,737,488,355,328
48 256T 281,474,976,710,656
49 512T 562,949,953,421,312
P = PETA (petabits, petabytes, etc.)
50 1P 1,125,899,906,842,624
51 2P 2,251,799,813,685,248
52 4P 4,503,599,627,370,496
53 8P 9,007,199,254,740,992
54 16P 18,014,398,509,481,984
55 32P 36,028,797,018,963,968
56 64P 72,057,594,037,927,936
57 128P 144,115,188,075,855,872
58 256P 288,230,376,151,711,844
59 512P 576,460,752,303,423,480
E = EXA (exabits, exabytes, etc.)
60 1E 1,152,921,504,606,846,976
61 2E 2,305,843,009,213,693,952
62 4E 4,611,686,018,427,387,904
63 8E 9,223,372,036,854,775,808
64 16E 18,446,744,073,709,551,616
 | Reproduced with permission from Computer Desktop Encyclopedia. Copyright (c) 1981-2009 The Computer Language Company Inc. All rights reserved. |
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