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

• 2² = 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 = 2² = 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.