Number Systems – Exercise – 1

26. Adding the two’s complement of –11 + (–2) will yield which two’s complement answer?

(a) 1110 1101
(b) 1111 1001
(c) 1111 0011
(d) 1110 1001

Answer
Answer : (c)
Explanation
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27. One advantage of using the 2’s complement system to represent signed numbers is that you ___________.

(a) can perform subtraction by performing addition
(b) can perform addition by performing subtraction
(c) can perform division through repeated subtraction
(d) none of the above

Answer
Answer : (a)
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28. The 1’s complement of 1010102 is _________.

(a) 0101102
(b) 0101012
(c) 1101112
(d) 1010112

Answer
Answer : (b)
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29. The 2’s complement of 1101102 is _________.

(a) 1101002
(b) 1010102
(c) 0010112
(d) 0010102

Answer
Answer : (d)
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30. Use the two’s complement system to add the signed numbers 11110010 and 11110011. Determine, in decimal, the sign and value of each number and their sum.

(a) –14 and –13; –27
(b) –113 and –114; 227
(c) –27 and –13; 40
(d) –11 and –16; –27

Answer
Answer : (a)
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