Binary to Decimal - Negative Fractions

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Example of conversion to decimal of a binary signed fraction

Let's convert to decimal the following signed binary fraction: 1.01101.
1.01101 = -1 + 0×2-1 + 1×2-2 + 1×2-3 + 0×2-4 + 1×2-5 = -0.59375.

Another way to convert the number is to find its 2's complement: we invert all the bits, and add 1:
0.10010 + 1 = 0.10011. Then 1.01101 = -(1×2-1 + 1×2-4 + 1×2-5) = -0.59375


Signed Fractions to Decimal Quiz

Question 1: Convert 1.0110010 from signed binary to decimal.





Question 2: Convert 1.1100 from signed binary to decimal.





Question 3: Convert 1010.101 from signed binary to decimal.





Question 4: Convert 1111.1010 from signed binary to decimal.





Question 5: Convert 1.01011000 from signed binary to decimal.





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