How do I add and subtract 16 bit floating point half precision numbers?
Say I need to add or subtract:
1 10000 0000000000
1 01111 1111100000
2’s complement form.
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How do I add and subtract 16 bit floating point half precision numbers?
Say I need to add or subtract:
1 10000 0000000000
1 01111 1111100000
2’s complement form.
Assuming you are using a denormalized representation similar to that of IEEE single/double precision, just compute the sign = (-1)^S, the mantissa as 1.M if E != 0 and 0.M if E == 0, and the exponent = E – 2^(n-1), operate on these natural representations, and convert back to the 16-bit format.
sign1 = -1
mantissa1 = 1.0
exponent1 = 1
sign2 = -1
mantissa2 = 1.11111
exponent2 = 0
sum:
sign = -1
mantissa = 1.111111
exponent = 1
Representation: 1 10000 1111110000
Naturally, this assumes excess encoding of the exponent.