Q.1: Prepare a truth table for the following Boolean expression: (a) (A + D) (B + C) (b) (A + B) (A +C)( Ā + B )

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Q.1: Prepare a truth table for the following Boolean expression:
(a) (A + D) (B + C)
(b) (A + B) (A +C)( A + B )
Q.2: Simplifying the following with the help of Boolean algebra
Rules:
(а) А вС + АВс+ АВС + АВС +AВС
(b) АВ С +А вс +АвС +А ВС
Q.3: Minimize the following expressions:
(а) X-(АВ С +BC)
(b) х3(АВ С+ АВС )С
Q.4: Convert the following expression to sum-of-product form.
(a) (A + B)( B + C) (Ā + C)
(b)(A + C) (AB +AC)( A B + T )
Q.5: Convert the following expression to product-of-sum form:
(a)
АВ+А В
(b) АВ + АВС + AВ С+ AT
Q.6: Express the given function in the product of sums, also draw
its circuit and truth table. X = AB + A C +AB
Q.7: Draw a logic circuit using only NAND gates for which output
expression is X = A C + B C.
Q.8: Draw a logic circuit using only NOR gates for which the output
expression is X= AC + B C.
Q.9: Prove the following by use of a truth table:
А ВА + А ВС +АВС-А В+ А С
Q.10: Draw the circuit diagrams of the following:
(i) F=XY Z+ XY Z + X Y Z
(ii) F = AB +(A B +A B)
12:04 pm
21/10/2021
32°C Rain showers
O G 4)) ENG
Transcribed Image Text:f Facebook A Messenger O Problem-Set-2.pdf My Questions | bartleby A File E:/Problem-Set-2.pdf Problem-Set-2.pdf 1 / 1 80% Q.1: Prepare a truth table for the following Boolean expression: (a) (A + D) (B + C) (b) (A + B) (A +C)( A + B ) Q.2: Simplifying the following with the help of Boolean algebra Rules: (а) А вС + АВс+ АВС + АВС +AВС (b) АВ С +А вс +АвС +А ВС Q.3: Minimize the following expressions: (а) X-(АВ С +BC) (b) х3(АВ С+ АВС )С Q.4: Convert the following expression to sum-of-product form. (a) (A + B)( B + C) (Ā + C) (b)(A + C) (AB +AC)( A B + T ) Q.5: Convert the following expression to product-of-sum form: (a) АВ+А В (b) АВ + АВС + AВ С+ AT Q.6: Express the given function in the product of sums, also draw its circuit and truth table. X = AB + A C +AB Q.7: Draw a logic circuit using only NAND gates for which output expression is X = A C + B C. Q.8: Draw a logic circuit using only NOR gates for which the output expression is X= AC + B C. Q.9: Prove the following by use of a truth table: А ВА + А ВС +АВС-А В+ А С Q.10: Draw the circuit diagrams of the following: (i) F=XY Z+ XY Z + X Y Z (ii) F = AB +(A B +A B) 12:04 pm 21/10/2021 32°C Rain showers O G 4)) ENG
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