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Write 90 in terms of powers of 2 in decreasing order. But note that the coefficients of these powers can only be 0 or 1.
90 = 64 + 16 + 8 + 2
= 1*26 + 0*25 + 1*24 + 1*23 + 0*22 + 1*21 + 0*20
Then, the binary representation of 90 is 1011010, the coefficients from left to right.
To convert 90 to binary manually, start by dividing 90 by 2 and noting the remainder. Then, divide the quotient by 2 again and note the remainder. Repeat this process until the quotient reaches 0. The binary representation of 90 is the sequence of remainders read in reverse order (from bottom to top). In this case, 90 in binary is 1011010.
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