Download Digital Fundamentals Tenth Edition Instructor Solution by Floyd, Buchla PDF
By Floyd, Buchla
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51. Output open. 34 CHAPTER 4 BOOLEAN ALGEBRA AND LOGIC SIMPLIFICATION Section 4-1 Boolean Operations and Expressions 1. X=A+B+C+D This is an OR configuration. 2. Y = ABCDE 3. X = A +B +C 4. (a) (c) (e) 0+0+1=1 1⋅0⋅0=1 1⋅0⋅1=0 5. (a) (b) (c) (d) (e) (f) (g) AB = 1 when A = 1, B = 1 ABC = 1 when A = 1, B = 0, C = 1 A + B = 0 when A = 0, B = 0 A + B + C = 0 when A = 1, B = 0, C = 1 A + B + C = 0 when A = 1, B = 1, C = 0 A + B = 0 when A = 1, B = 0 ABC = 1 when A = 1, B = 0, C = 0 6. (a) X = (A + B)C + B A 0 0 0 0 1 1 1 1 (b) B 0 0 1 1 0 0 1 1 (b) (d) (f) C 0 1 0 1 0 1 0 1 A+B 0 0 1 1 1 1 1 1 C 0 1 0 1 0 1 0 1 A+ B 1 1 0 0 0 0 0 0 1+1+1=1 1⋅1⋅1=1 1⋅1+0⋅1⋅1=1+0=1 (A + B)C 0 0 0 1 0 1 0 1 X = ( A + B)C A 0 0 0 0 1 1 1 1 B 0 0 1 1 0 0 1 1 X 0 1 0 0 0 0 0 0 35 X 0 0 1 1 0 1 1 1 Chapter 4 (c) X = ABC + AB A 0 0 0 0 1 1 1 1 (d) C 0 1 0 1 0 1 0 1 ABC 0 0 0 0 0 1 0 0 AB 0 0 0 0 0 0 1 1 X 0 0 0 0 0 1 1 1 X = (A + B)( A + B) A 0 0 1 1 (e) B 0 0 1 1 0 0 1 1 B 0 1 0 1 A+B 0 1 1 1 A+ B 1 1 0 1 X 0 1 0 1 X = (A + BC) ( B + C ) A 0 0 0 0 1 1 1 1 B 0 0 1 1 0 0 1 1 C 0 1 0 1 0 1 0 1 A + BC 0 0 0 1 1 1 1 1 B+C 1 1 1 0 1 1 1 0 X 0 0 0 0 1 1 1 0 Section 4-2 Laws and Rules of Boolean Algebra 7.
FIGURE 3-17 20. See Figure 3-18. FIGURE 3-18 28 Chapter 3 21. See Figure 3-19. FIGURE 3-19 22. See Figure 3-20. FIGURE 3-20 Section 3-6 The Exclusive-OR and Exclusive-NOR Gates 23. The output of the XOR gate is HIGH only when one input is HIGH. The output of the OR gate is HIGH any time one or more inputs are HIGH. XOR = AB + AB OR = A + B 24. See Figure 3-21. FIGURE 3-21 29 Chapter 3 25. See Figure 3-22. FIGURE 3-22 26. See Figure 3-23. FIGURE 3-23 Section 3-7 Fixed-Function Logic 27. The power dissipation of CMOS increases with frequency.
A) (a) Table 4-9 A B C 0 0 0 1 0 0 0 1 0 1 1 0 0 0 1 1 0 1 0 1 1 1 1 1 Table 4-11 A B 0 0 0 0 1 0 1 0 0 1 0 1 1 1 1 1 (b) X 0 1 0 1 1 1 1 0 (b) C 0 1 0 1 0 1 0 1 X 0 0 0 1 1 1 1 1 Table 4-10 A B 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 C 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 D 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 X 1 1 1 1 1 0 0 1 1 0 0 1 1 1 1 1 Table 4-12 A B 0 0 0 0 0 0 0 0 1 0 1 0 1 0 1 0 0 1 0 1 0 1 0 1 1 1 1 1 1 1 1 1 C 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 D 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1 X 1 0 1 1 0 0 0 0 1 0 0 1 1 1 1 1 (a) X = ABC + ABC + ABC + ABC X = ( A + B + C )( A + B + C )( A + B + C )( A + B + C ) (b) X = ABC + ABC + ABC X = ( A + B + C )( A + B + C )( A + B + C )( A + B + C )( A + B + C ) (c) X = ABC D + ABC D + ABCD + ABC D + ABC D + ABC D + ABC D X = ( A + B + C + D)( A + B + C + D)( A + B + C + D)( A + B + C + D)( A + B + C + D) ( A + B + C + D )( A + B + C + D)( A + B + C + D)( A + B + C + D) 46 Chapter 4 (d) X = ABC D + ABC D + ABC D + ABCD + ABCD + ABC D + ABCD X = ( A + B + C + D)( A + B + C + D)( A + B + C + D)( A + B + C + D)( A + B + C + D) ( A + B + C + D)( A + B + C + D)( A + B + C + D )( A + B + C + D) Section 4-8 The Karnaugh Map 37.