Express ${(1234)}_{5}$ in decimal form.

941

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194

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192

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650

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Solution

The correct option is B $194$
$(1234)_{5} = 1 \times 5^{3} + 2 \times 5^{2} + 3 \times 5^{1} + 4 \times 5^{0}$
$= 125 + 50 + 15 + 4 = 194$
Hence, $(1234)_{5} = 194$ .

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