Expert Answer:EEL 3705 Fundamental of Digital Circuit Homework

  

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EEL 3705
Assignment 4
1 Design a combinational circuit that converts a four-bit Gray code to a four
bit binary number. Implement the circuit with exclusive-OR gates.
2 Show how to build the following functions using one or more 74 xx 138 or
74 xx 139 binary decoders and NAND gates (Hint: Every realization should be
equivalent to a sum of minterms)
(a) F = A,B,C,D (0,2,10,12)
(b) F = W,X,Y,Z (2,3,4,5,8,10,12,14)
3 Implement the following Boolean function with a 4 X 1 multiplexer and
external gates.
(a) F1 = A,B,C,D (1, 3, 4, 11, 12, 13, 14, 15)
(b) F2 = A,B,C,D (1, 2, 5, 7, 8, 10, 11, 13, 15)
Consider the function F with 3 inputs:
Draw a circuit for F using only one 4-to-1 multiplexer and one NOT
gates
4 A combinational circuit is defined by the following three Boolean
functions:
F1(x,y,z)=x’y’z’+xz
F2(x,y,z)=xy’z’+x’y
F3(x,y,z)=x’y’z+xy
Design the combinational circuit that implements the functions with a
decoder and external gates.

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