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) FΣx,y,z(2,5,7) (b) FIA,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' F2 . X Y Z+X'. Y. Z' F3 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) FΣx,y,z(2,5,7)
(b) FIA,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'
F2
.
X Y Z+X'. Y. Z'
F3
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) FΣx,y,z(2,5,7) (b) FIA,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' F2 . X Y Z+X'. Y. Z' F3 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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