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    Binary to Decimal Quick Reference

    A Binary to Decimal quick reference can help in many cases, especially when we are dealing with IP addresses for first time. The more and more you use them the need to look into the table will become less and less.

    Powers of 2

    • 21 = 2
    • 2= 4
    • 23 = 8
    • 24 = 16
    • 25 = 32
    • 26 = 64
    • 27 = 128
    • 28 = 256
    • 29 = 512
    • 210 = 1024
    • 211 = 2048
    • 212 = 4096
    • 213 = 8192
    • 214 = 16384
    • 215 = 32768
    • 216 = 65536

    210 is also represented with K, 220 is represented with M, 230 is represented with G, 240 is represented with T.

    Numbers 1 to 15 (4 bits)

    • 0000 = 0
    • 0001 = 1
    • 0010 = 2
    • 0011 = 3
    • 0100 = 4
    • 0101 = 5
    • 0110 = 6
    • 0111 = 7
    • 1000 = 8
    • 1001 = 9
    • 1010 = 10
    • 1011 = 11
    • 1100 = 12
    • 1101 = 13
    • 1110 = 14
    • 1111 = 15

    Binary as power of 2 (Binary, Power of 2, Decimal)

    • 10 = 21 = 2
    • 100 = 2= 4
    • 1000 = 23 = 8
    • 10000 = 24 = 16
    • 100000 = 25 = 32
    • 1000000 = 26 = 64
    • 10000000 = 27 = 128
    • 100000000 = 28 = 256
    • 1000000000 = 29 = 512
    • 10000000000 = 210 = 1024

    Binary as power of 2 (Binary, Power of 2, Decimal)

    • 11 = (22 – 1) = 3
    • 1111 = (23 – 1) = 7
    • 1111 = (24 – 1) = 15
    • 11111 = (25 – 1) = 31
    • 111111 = (26 – 1) = 63
    • 1111111 = (27 – 1) = 127
    • 11111111 = (28 – 1) = 255
    • 111111111 = (29 – 1) = 511
    • 1111111111 = (210 – 1) = 1023

    Number of IPs possible with BITS

    • 1 bits = 21 possibilities = 2 possibilities.
    • 2 bits = 22 possibilities = 4 possibilities.
    • 3 bits = 23 possibilities = 8 possibilities.
    • 4 bits = 24 possibilities = 16 possibilities.
    • 5 bits = 25 possibilities = 32 possibilities.
    • 6 bits = 26 possibilities = 64 possibility.
    • 7 bits = 27 possibilities = 128 possibility.
    • 8 bits = 28 possibilities = 256 possibility.
    • 9 bits = 29 possibilities = 512 possibility.
    • 10 bits = 210 possibilities = 1024 possibility.

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