Decimal to Binary - Signed Fractions

Example of conversion to binary of a negative decimal fraction

Let's convert to binary the following negative fraction: -0.4375.

-0.4375 = -1 + .5625 = -1 + .5 + .0625 = -1 + 1×2-1 + 0×2-2 + 0×2-3 + 1×2-4 = 1.1001

Negative Decimal to Signed Binary Fractions Quiz

Question 1: Convert -6.25 from decimal to signed binary fractions.








Question 2: Convert -0.3671875 from signed binary to decimal.








Question 3: Approximate -0.8 as a binary fraction. Use 8 bits.








Question 4: Approximate -7.35 as a binary fraction. Use 8 bits.








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