Penyelesaian Soal Latihan 1 ( Aljabar-boolean )

Soal Latihan I :
Sederhanakan ekspresi logika dibawah dengan
Aljabar Boolean :
   1. AB’+BC + C’A
   2. A’(BC + AB + BA’)
   3. ABC + AB +A
   4. (A’+AB ) (A’B)



PENYELESAIAN
Soal Latihan I :

1. AB’+BC+C’A
   AB’+AC’+BC = A(B’+C’)+BC
                            = A(B C) + BC
                            = A
2. A’(BC + AB + BA’) = A’ (B(C+A+A’)
                                     = A’ (B(C + 1)
                                     = A’ (B(1))
                                     =A’ (B)
                                     = A’ B                                                                                                        
3. .ABC + AB +A
      = A (BC + B +1)
      = A (BC + B)
      = A (B(C+1)
      = A (BC)                                                                
                
   
4. (A’+AB) (A’B)
       = A’ (A+A') + (B+B)
       = A’ (A’)+(1)
       = A’(A)
       = A’