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Binary Floating Point Addition

I need this problem in the same format with 23.5 and 12.5 used as the decimals to be used. I need this to validate my own answer.

A full example of Binary Floating Point Addition:

Add decimals 10.5 and 3.5 using binary floating-point addition.
10.5 = 1010.1
3.5 = 11.1

Normalize:
10.5 = 1.0101 x 2^3
3.5 = 1.11 x 2^1

Align Decimal Points:
10.5 = 1.0101 x 2^3
3.5 = 0.0111 x 2^3

Add the significands:
1.0101
0.0111 +
1.1100 x 2^3

Convert back to decimal to see if the answer is correct:
1.1100 x 2^3 = 1110.0 = 14

Solution Summary

Binary Floating Point Addition is illustrated.

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