Question III.i: Convert the decimal number 0.8125 into its equivalent binary...

Convert the decimal number 0.8125 into its equivalent binary number.

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(0.8125)_{10} =(?)_{2}
Fractional Part Integer Part
0.8125 ×2=1.6250 0.6250 1
0.62500 ×2=1.2500 0.2500 1
0.2500×2=0.5000 0.5000 0
0.5000×2= 1.00000 0 1

The binary number is 0.1101.

so, (0.8125)_{10}=(0.1101)_{2}

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