1- Show how to build each of the following logic functions using one or more 74x138 binary decoders and NAND gates. (Hint: Each realization should be equivalent to a sum of minterms.) a) b) (a) F=Σx,y,z(2,5,7) (b) F=ПA,B,C (2,4,5,6,7) 2- Show how to build all four of the following functions using one 3-to-8 decoder with active-low outputs and four 2-input NAND gates: . . F1 X' Y' Z' + X · Y · Z' . . F3=X' Y. Z' + X. Y'. Z . . F2 = X' Y'. Z+X' · Y · Z' . . F4=X. Y'. Z' + X' · Y · Z 3- Design a gate-level circuit 10-to-4 encoder with inputs in the 1-out-of-10 code and outputs in a code like normal BCD.

Electric Motor Control
10th Edition
ISBN:9781133702818
Author:Herman
Publisher:Herman
Chapter22: Sequence Control
Section: Chapter Questions
Problem 6SQ: Draw a symbol for a solid-state logic element AND.
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1- Show how to build each of the following logic functions using one or more
74x138 binary decoders and NAND gates.
(Hint: Each realization should be equivalent to a sum of minterms.)
a)
b)
(a) F=Σx,y,z(2,5,7)
(b) F=ПA,B,C (2,4,5,6,7)
2- Show how to build all four of the following functions using one 3-to-8 decoder
with active-low outputs and four 2-input NAND gates:
.
.
F1 X' Y' Z' + X · Y · Z'
.
.
F3=X' Y. Z' + X. Y'. Z
.
.
F2 = X' Y'. Z+X' · Y · Z'
.
.
F4=X. Y'. Z' + X' · Y · Z
3- Design a gate-level circuit 10-to-4 encoder with inputs in the 1-out-of-10 code and outputs in
a code like normal BCD.
Transcribed Image Text:1- Show how to build each of the following logic functions using one or more 74x138 binary decoders and NAND gates. (Hint: Each realization should be equivalent to a sum of minterms.) a) b) (a) F=Σx,y,z(2,5,7) (b) F=ПA,B,C (2,4,5,6,7) 2- Show how to build all four of the following functions using one 3-to-8 decoder with active-low outputs and four 2-input NAND gates: . . F1 X' Y' Z' + X · Y · Z' . . F3=X' Y. Z' + X. Y'. Z . . F2 = X' Y'. Z+X' · Y · Z' . . F4=X. Y'. Z' + X' · Y · Z 3- Design a gate-level circuit 10-to-4 encoder with inputs in the 1-out-of-10 code and outputs in a code like normal BCD.
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