Is the Addition of These Three Binary Numbers Correct?

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Homework Help Overview

The discussion revolves around the addition of three binary numbers and whether the original poster's calculation is correct. Participants are examining the alignment of the numbers and the handling of carries in the addition process.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the alignment of the binary numbers and the accuracy of the carry handling. Some express confusion regarding the correctness of the original poster's result compared to a reference from a textbook.

Discussion Status

There is an ongoing exploration of the addition process, with some participants confirming the original poster's answer while others reference a textbook that suggests it is incorrect. The conversation indicates a productive examination of the problem, though no consensus has been reached.

Contextual Notes

Participants note that the textbook answer appears to only add two of the three numbers, which raises questions about the completeness of the original addition. There is also mention of the time taken to realize the potential error in the addition process.

kidi3
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Homework Statement


Addition.

3 binarynumbers

101111000
10111110
+ 10001101

The Attempt at a Solution


111
111111
101111000
10111110
+ 10001101
1011000011

Is it correct?
 
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You need to align them to make it easier to evaluate. Also I think your carries weren't lined up either.

Code:
   101111000
    10111110
 +  10001101
---------------
  1011000011

Yes, I get the same answer.

Of course you can check your result by converting back to decimal

376 + 190 + 141 = 707
 
Last edited:
Well.. that's what i hoped wasn't the case...

My books says that it's incorrect.

It says that the answer should be

http://snag.gy/mjQzv.jpg
 
kidi3 said:
Well.. that's what i hoped wasn't the case...

My books says that it's incorrect.

It says that the answer should be

http://snag.gy/mjQzv.jpg

The books answer appears to only be adding the two numbers in the lines labelled X and Y and getting the sum in the line labelled X+Y. It's not adding three numbers.
 
kidi3 said:
Well.. that's what i hoped wasn't the case...

My books says that it's incorrect.

It says that the answer should be

http://snag.gy/mjQzv.jpg

Note that the image you posted SPECIFICALLY only adds X and Y. It does not include the top number of the three.
 
Yeah.. i just realized it myself..
well it only took me 3 hours to realize it..

but thanks anyway :)
 
The very first line is labeled with C to indicate the carries from column to column.
 
jedishrfu said:
The very first line is labeled with C to indicate the carries from column to column.

HA ! good catch !
 

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