$(0.3125)_{10} = (0.1010)_{x}$ .Find the value of x.

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Solution

Integer
2 x 0.3125 = 0.625 0
2 x 0.625 = 1.25 1
2 x 0.25 = 0.50 0
2 x 0.50 = 1.00 1
Thus $(0.3125)_{10} = (0.1010)_{2}$

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