Question

draw the logic diagram for the following function. f=ab+(cd)' +a'c'd​

Answer 1

It can be simplified as

(BC+A)(A

′

B

′

+C

′

)+A

′

B

′

C

′

BCA

′

B

′

+BCC

′

+AA

′

B

′

+AC

′

+A

′

B

′

C

′

A

′

CBB

′

+BCC

′

+AA

′

B

′

+AC

′

+A

′

B

′

C

′

0+0+0+AC

′

+A

′

B

′

C

′

=C

′

(A+A

′

B

′

)

=[(A+A

′

)(A+B

′

)]C

′

=(A+B

′

)C

′

Answer 2

Answer:

A’B’C’D + AB’C’D + ABC’D + ABCD’

= B’C’D(A’+A) + ABC’D + ABCD’

= B’C’D + ABC’D + ABCD’