Question

Decimal 257.125 into binary and hexadecimal

Answer 1

Answer:

Explanation: THE ANSWER S 101.2

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Answer 2

Answer:

Explanation:

$\frac{257}{16}=16\frac{1}{16}$

$16\times 16=256$

Remainder = 1

$\frac{16}{16}=1\frac{0}{16}$

$16\times 1=16$

Remainder = 0

$\frac{1}{16}$

Remainder = 1

$0.125\times 16=2$

Hence 257.125₁₀ = 101.2₁₆

$\frac{257}{2}=128\frac{1}{2}$

Remainder = 1

$\frac{128}{2}=64$

Remainder = 0

$\frac{64}{2}=32$

Remainder = 0

$\frac{32}{2}=16$

Remaider = 0

$\frac{16}{2}=8$

Remaider = 0

$\frac{8}{2}=4$

Remainder = 0

$\frac{4}{2}=2$

Remaider = 0

$\frac{2}{2}=1$

Remainder = 0

$0.125\times 2=0.25$

Integer part = 0

$0.25\times 2=0.5$

Integer part = 0

$0.5\times 2=1$

Integer part = 1

So, 257.125₁₀ = 100000001.001₂