问:

用卡诺图化简逻辑函数 F=¯A¯BCD+A¯B¯CD+AB¯CD+A¯BCD

答:
用卡诺图化简这个逻辑函数F= ̄A ̄BCD+A ̄B ̄CD+AB ̄CD+A ̄BCD,步骤如下:
1. 先将函数写成包含4个项的加法式的形式:F= ̄A ̄BCD + A ̄B ̄CD+AB ̄CD+A ̄BCD
2. 对每个项求真值表,得到:
 ̄A ̄BCD:A B C D F
           0 0 0 0 1
           0 0 0 1 0 
           0 0 1 0 0
           0 0 1 1 0
           0 1 0 0 0
           0 1 0 1 0
           0 1 1 0 0
           0 1 1 1 0
           1 0 0 0 0
           1 0 0 1 0 
           1 0 1 0 0
           1 0 1 1 0
           1 1 0 0 0
           1 1 0 1 0
           1 1 1 0 1
           1 1 1 1 0
A ̄B ̄CD:A B C D F 
            0 0 0 0 0
            0 0 0 1 0 
            0 0 1 0 0
            0 0 1 1 1 
            0 1 0 0 1
            0 1 0 1 0
            0 1 1 0 0
            0 1 1 1 0
            1 0 0 0 0
            1 0 0 1 1 
            1 0 1 0 1
            1 0 1 1 0
            1 1 0 0 0
            1 1 0 1 1
            1 1 1 0 0
            1 1 1 1 0 
AB ̄CD:A B C D F 
          0 0 0 0 0
          0 0 0 1 0 
          0 0 1 0 0
          0 0 1 1 0
          0 1 0 0 0
          0 1 0 1 0
          0 1 1 0 1
          0 1 1 1 0
          1 0 0 0 0
          1 0 0 1 0 
          1 0 1 0 0
          1 0 1 1 1
          1 1 0 0 0
          1 1 0 1 0
          1 1 1 0 0
          1 1 1 1 0 
A ̄BCD:A B C D F 
           0 0 0 0 0
           0 0 0 1 1
           0 0 1 0 1
           0 0 1 1 0 
           0 1 0 0 1
           0 1 0 1 1
           0 1 1 0 0
           0 1 1 1 1 
           1 0 0 0 1
           1 0 0 1 0 
           1 0 1 0 0
           1 0 1 1 0
           1 1 0 0 1
           1 1 0 1 0
           1 1 1 0 1
           1 1 1 1 1