Explore BrainMass
Share

Binary Floating Point Addition

This content was STOLEN from BrainMass.com - View the original, and get the solution, here!

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

© BrainMass Inc. brainmass.com September 23, 2018, 1:58 pm ad1c9bdddf - https://brainmass.com/computer-science/algorithms/binary-floating-point-addition-7793

Solution Preview

See Attachment

Add 23.5 and 12.5 using binary floating point addition

23.5 = ...

Solution Summary

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

$2.19