Correct Answer: Option B

Explanation

x\(_4\) = x \(\times\) 4\(^0\) = x in base 10.

100100\(_2\) = 1 x 2\(^5\) + 1 x 2\(^2\)

= 32 + 4

= 36 in base 10

\(\implies\) x\(^2\) = 36

x = 6 in base 10.

Convert 6 to a number in base 4.

= 12\(_4\)

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