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연습문제풀이 Ch05 3rd E - 솔루션

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I T COOK B OOK 1 8 7

이론, 실습, 시뮬레이션

디지털 논리회로(개정3판)

(Problem Solutions of Chapter 5)

1. 진리표를 이용하여 두 함수가 같음을 증명

①     ,        

②        ,          

         식        식 

         식           식 

         식         식 

    식        식 
         식        식 
         식           식 
         식         식 

4. 논리식의 부정

①     

•        ⋅              

•                           

•                     . 여기서     이다.

②      

          ⋅    

③         

                  

④                    

                                        

⑤                

                       

⑥              

                                     

⑦                   

                           

⑧                 

                               

5. 논리식 유도

자동차 경고 버저의 논리식:           

H D K F H K D F

6. 논리식 유도

   

0 0 0 1 1 0 1 1 0 0 0 0 0 1

1 0    ,   

 

X A B Y

7. 논리회로의 논리식 표현

①       ②      ③         

        

0 0 0 1 1 0 1 1 1 1 0 1 0 0 0 1 1 0 1 1 0 1 0 1 0 0 0 1 1 0 1 1 0 1 1 1 ④            ⑤          

       

0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 0 0 0 1 1 1 0 1 0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1 0 1 0 1 0 1 ⑥             

         

0 0 0 0 0 0 0 1 0 0 1 0 0 0 1 1 0 1 0 0 0 1 0 1 0 1 1 0 0 1 1 1 1 1 1 0 0 0 0 0 1 0 0 0 1 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 1 1 0 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1

8. 논리식의 논리회로 표현

①        ②               

A B C D F

A

B

C

D

F

③              ④          

A B C D F A B C F

10. 최소항 표현

①           

                

                 

             

②             

                           

                      

③               

                                

                          

          

11. 최소항과 최대항

①         

                

                     

         

   

기호    

        0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 0 0 0 1 0 1 1 1

                          

②          

                    

                                  

   

기호    

        0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 1 1 0 1 0 0 0 1

                          

③            

                                   

                          

   

기호   기호  

        0000 0001 0010 0011 0100 0101 0110 0111 0 1 0 1 0 1 0 0         1000 1001 1010 1011 1100 1101 1110 1111 0 1 0 0 1 1 1 0

   

                                     

                              

④      

                                       

   

기호    

        0 0 0 0 0 1 0 1 0 0 1 1 1 0 0 1 0 1 1 1 0 1 1 1 0 1 0 0 1 1 1 1

                     

⑤            

                                       

                          

   

기호   기호  

        0000 0001 0010 0011 0100 0101 0110 0111 1 0 1 0 1 0 1 1         1000 1001 1010 1011 1100 1101 1110 1111 0 0 0 0 0 0 1 1

6장의 카르노 맵으로 풀어보면

1 1

1 1 1

A

BC

00 01 11 10

0 1           

④          

14. 불 대수를 이용한 논리식 간소화

① ⋅           

②         

③     

④   ⋅        

⑤             

⑥          

⑦                   

⑧       

⑨                    

⑩                             

15. 불 대수를 이용한 논리식 간소화

①                        

②            

③                          

④                            

⑤                        

⑥                   

⑦                                  

⑧                      

                 

⑨                         

               

                 

⑩                                

                   

                       

      

16. 불 대수를 이용한 간소화

①         

                               

②      

                           

③           

                    

④         

            

⑤               

                           

                       

⑥          

                    

                  

⑦            

                                   

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