【电子科技大学】2015下数字逻辑设计(作业题)Chapter 3 Exercis(对应老教材第4章题号)

更新时间:2023-05-25 16:04:11 阅读: 评论:0

Chapter 3
然而【以下为老版教材(好朋友的英文John F. Wakerly著)的题号】
4.4  Prove theorems T8': (X+Y)·(X+Z) = X+Y·长五b火箭首飞成功Z  using perfect induction.
4.5  According to DeMorgan’s theorem, the complement of W·X+Y·Z is W'火车的英文+Xtwosome'·Y'+Z'. Yet both functions are 1 for W·厦门平面设计X·sbuxY·Z = 1110. How can both a function and its complement be 1 for the same input combination? What’s wrong here?
4.6  U switching-algebra theorems to simplify each of the following logic functions:
(a) F = W·X·Y·Z·rve(W·X·Y·Z' + W·X'·Y·Z + W'·X·Y·Z + W·X赛车总动员3·Y'·Z)
(b) F = A·B + Aup in the air·B·C'·D + A·B·D·E' + A'·B·C'·E + A'·B'·C'·E
4.8  Write the truth table for each of the following logic functions:
(h) F = X·Y' + Y·Z + Z'·X
4.9  Write the canonical sum and product for each of the following logic functions:
(a)  F =                  (b)  F =
4.10  Write the canonical sum and product for each of the following logic functions:
(c)  F =            (f)  F = A'·B + B'·C + A
4.12  If the canonical sum for an n-input logic function is also a minimal sum, how many literals are in each product term of the sum? Might there be any other minimal sums in this ca?
4.14  Using Karnaugh maps, find a minimal sum-of-products expression for each of the following logic functions. Indicate the distinguished 1-cells in each map.
(a) F =                  (e) F =
4.15  Using Karnaugh maps, find a minimal sum-of-products expression for each of the following logic functions. Indicate the distinguished 1-cells in each map.
(b) F =          (c) F =
4.18  Using Karnaugh maps, find a minimal sum-of-products expression for each of the following logic functions. Indicate the distinguished 1-cells in each map.
(a) F = W,X,Y,Z (0,1,3,5,14) + d(8,15)
4.19 For each of the following logic expressions, find all of the static hazards in the corresponding two-level AND-OR or OR-AND circuit, and design a hazard-free circuit that realizes the same logic function.

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