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Section 2.6 布尔表达式练习题

Exercises Exercises

1.

请计算下面表达式的值

  1. \(\displaystyle (1 \vee 0)\imp 1\)

  2. \(\displaystyle (1\wedge 1) \imp (0 \imp 1)\)

  3. \(\displaystyle (1 \iff 0) \wedge (0 \vee \neg 0)\)

  4. \(\displaystyle (0\wedge \neg 0) \imp (\neg 1 \vee \neg 0)\)

Solution
  1. 1
  2. 1
  3. 0
  4. 1
2.

已知命题常项如下:

  • p: 0=1
  • q: 1=1
  • r: 1=1
  • s:马有四条腿
  • t: 8是奇数
  • u: \(\pi\)的第200位是9
  • v: \(\pi\)的第200位是9
  • w: 1=1

请计算下面逻辑表达式的值

  1. \(\displaystyle p\imp q\)

  2. \(\displaystyle r \imp s\)

  3. \(\displaystyle t \imp u\)

  4. \(\displaystyle v \imp w\)

Solution
  1. 1
  2. 1
  3. 1
  4. 1