Question 1.13: Convert the octal fraction (.71)8 to its equivalent decimal ...
Convert the octal fraction (.71)_8 to its equivalent decimal representation.
Let c_0=(.71)_8
\begin{array}{lll} (12)_8(.71)_8=(10.72)_8 & b_1=(10)_8=(8)_{10} & c_1=(.72)_8 \\ (12)_8(.72)_8=(11.04)_8 & b_2=(11)_8=(9)_{10} & c_2=(.04)_8 \\ (12)_8(.04)_8=(0.5)_8 & b_3=(0)_8=(0)_{10} & c_3=(.5)_8 \\ (12)_8(.5)_8=(6.2)_8 & b_4=(6)_8=(6)_{10} & c_4=(.2)_8 \\ (12)_8(.2)_8=(2.4)_8 & b_5=(2)_8=(2)_{10} & c_5=(.4)_8 \\ (12)_8(.4)_8=(5.0)_8 & b_6=(5)_8=(5)_{10} & c_6=(0)_8 \end{array}
The decimal representation is (.890625)_{10} .
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