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Perform the following additions. The corresponding 16-bit binary numbers are in 2's complement notation. Provide your answers in hexadecimal.

I'm not sure about this one, am I doing the 2's complement conversion correctly?

x7D96 + x7412

0111 1011 1001 0110 +

0111 0100 0001 0010 =

1110 1111 1010 0111 2's complement notation

0001 0000 0101 1000 = x1058

KKendall
  • 869

1 Answers1

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You missed a stage out to get the twos complement you first invert all the bits then add one and throw away the carry

So starting with:

1110 1111 1010 0111

We invert to get

0001 0000 0101 1000

Then add 1 to get

0001 0000 0101 1001

And throw the carry away if any to get

0001 0000 0101 1001 = 0x1059

Warren Hill
  • 3,092