Question

escreva o numero 36 na representação polinomial na base 2

Answer 1

Na base decimal, temos que:

36 = $36_{(10)}$ = 3.(10)¹ + 6.$(10)^{0}$ = 30 + 6
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Na base binária (2), temos que:

$36_{(10)}$ = $1.(2)^{5}$ + $0.(2)^{4}$ + $0.(2)^{3}$ + $1.(2)^{2}$ + 0.$(2)^{1}$ + $0.(2)^{0}$

$36_{(10)}$ = 32 + 0 + 0 + 4 + 0 + 0 = $36_{(10)}$ = 36

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Representação polinomial:

36 = $36_{(10)}$ = $1.(2)^{5}$ + $0.(2)^{4}$ + $0.(2)^{3}$ + $1.(2)^{2}$ + $0.(2)^{1}$ + 0.$(2)^{0}$ = $100100_{(2)}$

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Portanto, temos que:

36 = $36_{(10)}$ = $I00I00_{(2)}$

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