Home Work # 2
Chapter 2:
2.18 The answers are:
(a) 1100 (binary) or 12 (decimal)
(b) 1011000 (binary) or 88 (decimal)
(c) 1011 (binary) or 11 (decimal)
(d) 11 (binary) or 3 (decimal)
2.20 (a) 1100 + 0011 = 1111
-4 + 3 = -1
(b) 1100 + 0100 = 0000
-4 + 4 = 0
(c) 0111 + 0001 = 1000 OVERFLOW!
7 + 1 = -8
(d) 1000 - 0001 = 1000 + 1111 = 0111 OVERFLOW!
-8 - 1 = -8 + (-1) = 7
(e) 0111 + 1001 = 0000
7 + -7 = 0
2.21 Overflow has occurred if both operands are positive and the result is negative, or if both operands are
negative and the result is positive.
2.30 (a) 01010111
(b) 100
(c) 10100000
(d) 00010100
(e) 0000
(f) 0000
2.38 Let N = n & 1000, M = m & 1000
Overflow = (N AND M) OR ((N OR M) AND ((NOT s) AND 1000))
2.40 (a) 2
(b) -17
(c) Positive infinity. NOTE: This was not explained in the text.
(d) -3.125
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