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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.

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