Question

Help me with A,b and c

Answer 1

The Following are the answer to the given statement:

Step-by-step explanation:

Given value:

`a) \ Y= \bar{A}BC+\bar{B\bar{C}} +BC \\\\b) \ Y= \bar{(A+B+C)}D+AD+B \\\\c) \ Y= ABCD+\bar{A} B \bar{C} D + \bar (\bar{B} + D) \ \ E`

In latex code, in typing there is some error so, please find the question.

Solve point a:

`a) \ Y= \bar{A}BC+\bar{B\bar{C}} +BC \\\\`

`= (\bar{A} + 1 ) BC+\bar{B\bar{C}} \\\\= (\bar{B} + C ) +BC\\\\= \bar{B} + C +BC\\\\= \bar{B} + C(B+1) \\\\= \bar{B} + C \\\\`

Solve point b:

`b) \ Y= \bar{(A+B+C)}D+AD+B \\\\`

`Y= \bar{A}+\bar{B}+\bar{C}D+AD+B \\\\`

`= \bar{C}D+AD+B \\\\`

Solve point c:

`c) \ Y= ABCD+\bar{A} B \bar{C} D + \bar (\bar{B} + D) \ \ E`

`=ABCD+\bar{A}B\bar{C}D+ B\bar{D}E\\\\=(AC+\bar{A}\bar{C} )BD+ B\bar{D}E\\\\=(A \circ C)BD+ B\bar{D}E\\\\`

please find the circuits attachment for the above point.