Question: d) Convert $(670.17)_8$ into Binary and Hex.

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$(670.17)_8$

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.

$$(670.17)_8 = (1B8.3C)_{16}$$

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