Give the complement of the following Boolean Expression.1. (A + B) . (

1.	Give the complement of the following Boolean Expression.1. (A + B) . (C + D) 2. (P + Q) + (Q + R) . (R + P) 3. (B + D’) . (A + C’)
Answer» 1. ((A+B) . (C+D))1 = (A+B)’ + (C+D)’ = A’ . B’ + C’ . D’ 2. ((P+Q) + (Q+R) . (R.P))’ = (P+Q) ‘. ((Q+R) . (R+P))’ = P’ . Q’ . (Q+R)’ + (R+P)’ = P’ . Q’ . (Q’ . R’ + R’ . P’), 3. ((B+D’).(A+C’))’ = (B+D’)’0 + (A+C’)’ = B’ . D” + A’ . C” = B’ . D + A’ . C

Give the complement of the following Boolean Expression.1. (A + B) . (C + D) 2. (P + Q) + (Q + R) . (R + P) 3. (B + D’) . (A + C’)

Answer»

1. ((A+B) . (C+D))1 = (A+B)’ + (C+D)’

= A’ . B’ + C’ . D’

2. ((P+Q) + (Q+R) . (R.P))’ = (P+Q) ‘. ((Q+R) . (R+P))’

= P’ . Q’ . (Q+R)’ + (R+P)’

= P’ . Q’ . (Q’ . R’ + R’ . P’),

3. ((B+D’).(A+C’))’ = (B+D’)’0 + (A+C’)’

= B’ . D” + A’ . C”

= B’ . D + A’ . C

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Give the complement of the following Boolean Expression.1. (A + B) . (C + D) 2. (P + Q) + (Q + R) . (R + P) 3. (B + D’) . (A + C’)

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