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(Solved): The bit-level representation of the 5-bit twos-complement sum can be obtained by performing binar ...



The bit-level representation of the 5-bit two’s-complement sum can be obtained by performing binary addition of the operands and truncating the result to 5 bits. Fill-in the below table: given the x, y values, fill in the following table. Note that x and y are all two’s-complement numbers of bit length 5.

x(signed)

y (signed)

x+y (6 bits)

Good

x+5t y (5 bits)

Problem!

Overflow (Yes or No)

What kind of overflow?

Binary(5 bits)

Decimal

Binary

5 bits

Decimal

Binary

Decimal

Binary

(x+y)

Decimal

(x+y)

10111

-13

10000

-16

100111

-29

00111

7

01010

10

010001

17



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The values in binary and decimal for x+y are:For x = 10111 (decimal -9) and y = 11101 (decimal -3):x+y = 101000 (decimal -12)For x = 00111 (decimal 7)
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