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56 is 0011 1000

To convert between bases divide the number by the new base repeatedly until the whole number quotient is zero, noting the remainders in reverse order:

56 ÷ 2 = 28 r 0

28 ÷ 2 = 14 r 0

14 ÷ 2 = 7 r 0

7 ÷ 2 = 3 r 1

3 ÷ 2 = 1 r 1

1 ÷ 2 = 0 r 1

→ 56 decimal in binary is 111000 (or 0011 1000 in 8 bits of a byte).

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7y ago

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