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Sheet 1

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ramez
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Logic II

Sheet (1)
(1) A combinational circuit is specified by the following three Boolean functions:

F1(A,B,C)=
F2(A,B,C)=
F3(A,B,C)=

Implement the circuit with a decoder constructed with NAND gates

(2) Using the decoder and external gates, design the combinational circuit defined by
the following three Boolean functions:
a) F1= +xz
F2= + y
F3= +xy

b) F1=( +x)z
F2= +x +y
F3=( +y)z

(3) Construct a 16X1 multiplexer with two 8X1 and one 2X1 multiplexers. Use block
diagrams.

(4) Implement the following Boolean function with a multiplexer

a-F(A,B,C,D)=

(5) A 8X1 multiplexer has inputs A, B, C connected to the selection inputs S 2, S1,S0
respectively. The data inputs I0 to I7 are as follows:

I1= I2= I7=0; I3= I5=1; I0= I4=D; and I6 = find the function implemented with
the MUX

Dr.Suzan Shukry

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