$(11100)_{2} = (1001)_{x}$ . What is the value of x?

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Solution

The correct option is C 3
$(11100)_{2} = 0 + 0 + 2^{2} + 2^{3} + 2^{4} = 28$

$(1001)_{x} = x^{0} + x^{3} = 1 + x^{3}$

$∴ 1 + x^{3} = 28 ⟹ x = 3.$

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