Created
October 17, 2020 19:56
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See the representation of a floating point in Python
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| import struct | |
| num = 0.5 | |
| bits = [[c>>i & 1 for i in range(7, -1, -1)] for c in struct.pack("!d", num)] | |
| bits_flatten = [i for l in bits for i in l] | |
| bits_sign = bits_flatten[0] | |
| bits_exponent = bits_flatten[1:12] | |
| bits_fraction = bits_flatten[12:64] | |
| sign = (-1) ** bits_sign | |
| exponent = sum([b<<i for i, b in enumerate(reversed(bits_exponent))]) - 1023 | |
| fraction = 1 + sum([b*(2**(-(i+1))) for i, b in enumerate(bits_fraction)]) | |
| print(sign * fraction * (2**exponent)) |
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Reference: https://en.wikipedia.org/wiki/Double-precision_floating-point_format