Add the following numbers in binary using 2s complement to

Chapter 1, Problem 1.7

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QUESTION:

Add the following numbers in binary using 2’s complement to represent negative numbers. Use a word length of 6 bits (including sign) and indicate if an overflow occurs.

(a) 21 + 11

(b) (−14) + (−32)

(c) (−25) + 18

(d) (−12) + 13

(e) (−11) + (−21)

Repeat (a), (c), (d), and (e) using 1’s complement to represent negative numbers.

Questions & Answers

QUESTION:

Add the following numbers in binary using 2’s complement to represent negative numbers. Use a word length of 6 bits (including sign) and indicate if an overflow occurs.

(a) 21 + 11

(b) (−14) + (−32)

(c) (−25) + 18

(d) (−12) + 13

(e) (−11) + (−21)

Repeat (a), (c), (d), and (e) using 1’s complement to represent negative numbers.

ANSWER:

Step 1 of 10

(a)

Consider the addition is,

                                                                 

 

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