ShunIPCalc - How to convert binary to decimal ?

How to convert binary to decimal ?

To convert binary to decimal, we start from the right to the left of the binary chain and at each bit, we associate the value 2^(character number), the first bit being bit number 0.

Note:
2^0 = 1
2^1 = 2
2^2 = 2 x 2 (2 times)
2^3 = 2 x 2 x 2 (3 times)

For example:

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power of 2:

2^7

2^6

2^5

2^4

2^3

2^2

2^1

2^0

Value:

128

The decimal value is the sum of the binary charaters times the powers of 2.

For the example above:
Result = 1 x 1 + 1 x 2 + 0 x 4 + 1 x 8 + 0 x 16 + 0 x 32 + 1 x 64 + 1 x 128 = 203

The minimum value is all bits set to "0" which is "0" in decimal and the maximum value for 8 bits (a byte) is all bits set to "1" which is "255" in decimal.

For a chain of n bits, the maximum is (2^n)-1. For example for a word (2 bytes), the maximum is 2^16-1=65535