컴퓨터 구조 [Computer Architecture and Organization An Intergrated Approach Wiley Miles J. Murdocca and Vincent P. Heuring] 솔루션

SOLUTIONS TO PROBLEMS 555 SOLUTIONS TO PROBLEMS SOLUTIONS TO CHAPTER 1 PROBLEMS 1.1 Computing power increases by a factor of 2 every 18 months, which generalizes to a factor of 2 x every 18x months. If we want to ?gure the time at which computing power increases by a factor of 100, we need to sove 2x = 100, which reduces to x = 6.644. We thus have 18x = 18×(6.644 months) = 120 months, which is 10 years. SOLUTIONS TO CHAPTER 2 PROBLEMS 2.1 (a) [+999.999, ?999.999] (b) .001 (Note that error is 1/2 the precision, which would be .001/2 = .0005 for this problem.) 2.2 (a) 101111 (b) 111011 (c) 531 (d) 22.625 (e) 202.22 2.3 (a) 27 (b) 000101 (c) 1B (d) 110111.111 (e) 1E.8 2.4 2×3-1 + 0×3-2 + 1×3-3 = 2/3 + 0 + 1/27 = 19/27 556 SOLUTIONS TO PROBLEMS 2.5 2.6 2.7 2.8 2.9 2.10 2.11 37.3 (17.5)10 ? (122.11)3 = (17.4)10 ?8 0 0011 0000 0101 0110 1001 0101 One’s complement has two representations for zero, whereas two’s complement has one representation f