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Multiply the digit to the left of the "decimal" point by 2^0 = 1.

Multiply the digit to the left of it by 2^1 = 2

Multiply the digit to the left of that by 2^2 = 4 and so on.

Also

Multiply the digit to the right of the "decimal" point by 2^(-1) = 1/2.

Multiply the digit to the right of that by 2^(-2) = 1/4 and so on.

Add all these together.

Example:

Binary 1101.1011

1*2^3 = 1*8 = 8

1*2^2 = 1*4 = 4

0*2^1 = 0*2 =0

1*2^0 = 1*1 = 1

1*2^-1 = 1*1/2 = 0.5

0*2^-2 = 0*1/4 = 0

1*2^-3 = 1*1/8 = 0.125

1*2^-4 = 1*1/16 = 0.0625

Sum = 13.6875

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10y ago
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