Question

Convert (36.532)8 into an equivalent hexadecimal number.

Answer 1

Answer on Question #78939 – Math – Other

Question

Convert (36.532)8 into an equivalent hexadecimal number.

Solution

$$(36)_8 = 3 * 8 + 6 = 30 = 16 + 14 = (1E)_{16}.$$ $$(0.532)_8 = \frac{5}{8} + \frac{3}{64} + \frac{2}{512} = \frac{173}{256} = \frac{10}{16} + \frac{13}{256} = (0. AD)_{16}$$ $$(36.532)_8 = (1E. AD)_{16}.$$

Answer: $(36.532)_8 = (1E. AD)_{16}$.

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