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dec2bin(num) = bin(num x 2^N)

2.3125 x 2^4 = 37 = bin(100101)

bin2dec(1001) = 1 x 2^(-1) + 0 x 2^(-2) + 0 x 2^(-3) + 1 x 2^(-4) = 0.5625

bin2dec(num) = num / 2^N

bin(11.1001) = bin(111001) / (2^4) = 57/16 = 3.5625.