Q1.Simplify the following functions, and implement them with two-level NAND gate circuits: (a) F(AB.C.D) = AC'D' + A'C + ABC + AB'C + A'C'D' (b) F(A.B.C.D) = A'B'C'D + CD + AC'D

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Q1.Simplify the following functions, and implement them with two-level NAND gate
circuits:
(a) F(A.B.C.D) = AC'D' + A'C + ABC + AB'C + A'C'D'
(b) F(A.B.C.D) = A'B'C'D + CD + AC'D
(c) F(A.B.C.D) = (A' + C' + D')(A' + C')(C' + D')
(d) F(AB.C.D) = A' + B + D' + B'C
Q2.Simplify the following functions, and implement them with two-level NOR gate
circuits:
(a) F = wx' + y'z' + w'yz'
(b) ) F(w,x.y.z)
E(0,3, 12, 15)
(c) F(xy.2) = [(x + y)(x + z)]'
Q3.Convert the logic diagram of the circuit shown in the Figure into a multiple-level
NAND circuit.
CD
D(C +DY
C+D
Q4.Implement the following Boolean function F, together with the don't-care conditions
d, using no more than two NOR gates:
F(A,B,C.D) = E(2, 4, 10, 12, 14) & d(a,B,C.D) = E(0, 1,5,8)
Assume that both the normal and complement inputs are available.
Transcribed Image Text:Home work Q1.Simplify the following functions, and implement them with two-level NAND gate circuits: (a) F(A.B.C.D) = AC'D' + A'C + ABC + AB'C + A'C'D' (b) F(A.B.C.D) = A'B'C'D + CD + AC'D (c) F(A.B.C.D) = (A' + C' + D')(A' + C')(C' + D') (d) F(AB.C.D) = A' + B + D' + B'C Q2.Simplify the following functions, and implement them with two-level NOR gate circuits: (a) F = wx' + y'z' + w'yz' (b) ) F(w,x.y.z) E(0,3, 12, 15) (c) F(xy.2) = [(x + y)(x + z)]' Q3.Convert the logic diagram of the circuit shown in the Figure into a multiple-level NAND circuit. CD D(C +DY C+D Q4.Implement the following Boolean function F, together with the don't-care conditions d, using no more than two NOR gates: F(A,B,C.D) = E(2, 4, 10, 12, 14) & d(a,B,C.D) = E(0, 1,5,8) Assume that both the normal and complement inputs are available.
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