# Binary Floating Point Addition

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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

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##### Solution Summary

Binary Floating Point Addition is illustrated. An example of floating point addition is given.

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Add 23.5 and 12.5 using binary floating point addition

23.5 = ...

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