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The Octal equivalent of the hexadecimal number 100 is _______.
Question

The Octal equivalent of the hexadecimal number 100 is _______.

A.

400

B.

200

C.

600

D.

300

Correct option is A

(100)16Binary conversion of hexadecimal number is -100010000000000(100)16(000100000000)2To convert binary into octal, we take 3 digits in the group from right side.000 100 000 000 0 4 0 0(100)16=(400)8(100)_{16} \\\text{Binary conversion of hexadecimal number is -} \\1 \rightarrow 0001 \\0 \rightarrow 0000 \\0 \rightarrow 0000 \\(100)_{16} \rightarrow (000100000000)_2 \\\text{To convert binary into octal, we take 3 digits in the group from right side.} \\000 \, 100 \, 000 \, 000 \\\downarrow \, \downarrow \, \downarrow \, \downarrow \\0 \, 4 \, 0 \, 0 \\(100)_{16} = (400)_8​​

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