Question

Q6. a) Write the output expression for the circuit shown in the figure. b) Develop truth table for the circuit. (1 Mark) (4 Marks) A B C 13 X D Fig.2 07 [5] a) Minimize the following logic function using K-Map. b) Implement the minimized expression using basic gates. (3 Marks) (2 Marks) F(A,B,C,D) = (0,2,5,7,8,10,13,15) Q8 a) Write the output expression of the logic circuit shown in the figure. b) Minimize the expression using Boolean laws and theorems. C) Implement the minimized expression using 2 input NOR gates only. (2 Marks) (6) (2 Marks) (2 Marks) B Fig.3

Answer 1

А. A AB В B A ĀBTĀCD ACD to X DBD=0 D B D X = ABT ACD A.Azo P+Q= P Q Standard Formula Øl Ø PQ = pt X = AB ACD (A+B) (At a to = X = ATACHAD + AB A B C + B 5

From the x for A possible combinations are minterm ABCD 8 1000 A XXX. 9 1001 Lo dont Care 11 1090 LOL 11.00 101 1110 12 M 1115 for AC ABCD A X CX 1000 Tool تم 100 13 for AD 1101 A B C D AXXD 1000 12 LIDO 14 for AB A B C D A B XX looo 10 0.1 16 10 1611 for it A B C D XB cx OOOO OD 1 | 000 1 9

for BD 2 0 op Emco, 1, 2, 8, 9, 10, 11, 12, 13, 14, 15) A B CD xBxD all Common minterns are 0 0 0 10 LOTO Truth table C D B X. A 10 0 o 0 1 11 01 10