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d) Convert $(670.17)_8$ into Binary and Hex.
written 7.8 years ago by | • modified 4.6 years ago |
Mumbai University > COMPS > Sem 3 > Digital Logic Design and Analysis
Marks: 4 M
Year: Dec 2014
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written 7.8 years ago by | • modified 4.6 years ago |
Mumbai University > COMPS > Sem 3 > Digital Logic Design and Analysis
Marks: 4 M
Year: Dec 2014
written 7.8 years ago by |
$(670.17)_8$
Step1: Write 3- Bit equivalent binary number for each octal digit.
Step2: Remove any leading or tailing Zeros.
So,
$(670.17)_8 =(110 \hspace{0.2cm}111 \hspace{0.2cm} 000 \hspace{0.1cm} . \hspace{0.1cm} 001 \hspace{0.2cm} 111)_2$
Hexadecimal Conversion
$(670.17)_8$
Step1 : Write equivalent 3-bit binary number for each octal digit.
Step2 : Make group of 4 – bit starting from LBS for integer and MSB for fraction part by adding O’s at the end, if required.
Step3 : Write equivalent hexadecimal number for each group of 4 – bits.
$$(670.17)_8 = (1B8.3C)_{16}$$