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Addition with eight bit 2's complement numbers. [Check my Work]

shamieh

Active member
Sep 13, 2013
539
Perform the following operations involving eight-bit 2's complement numbers and indicate whether arithmetic overflow occurs.

1) 01110101 + 11011110.

So I have a +Positive + a -Negative number. So I just added normally, and got the result of 01010011.

I realized before I started the problem I essentially had 117 +(-34) which is really 117 - 34 = 83.

So my result 01010011 = 83. Was there an easier way I could have done this? And, is this correct? It seems logically correct, but I've been known to screw these up. Also, there would be no overflow right?
 

Evgeny.Makarov

Well-known member
MHB Math Scholar
Jan 30, 2012
2,492
Your calculation is correct. The operation results in a carry, but no overflow.