Design a combinational circuit with three inputs, x, y, and z, and three outputs, A, B, and C. When the binary input is 0, 1, 2, or 3, the binary output is one greater than the input. When the binary input is 4, 5, 6, or 7, the binary output is two less than the input. Using a decoder and external gates, design the combinational circuit defined by the following three Boolean functions: (a) F₁ = xyz + xz (b) F₁ = (y + x)2 F₂ = xyz + xy F₂ = y2 + xy + y2 F₂ = xyz + xy F₂ = (x + y)z Design a four-input priority encoder with inputs, but with input D, having the highest priority and input D3 the lowest priority. Implement the following Boolean function with a multiplexer. (a) FAB.CD= (0,2,5,8,10,14) (b) FAB.CD=(2,6,11)

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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. Design a combinational circuit with three inputs, x, y, and z, and three outputs,
A, B, and C. When the binary input is 0, 1, 2, or 3, the binary output is one greater than
the input. When the binary input is 4, 5, 6, or 7, the binary output is two less than the
input.
2. Using a decoder and external gates, design the combinational circuit defined by the
following three Boolean functions:
(a) F₁ = xyz' +xz
(b) F₁ = (y + x)2
F₂ = xy'z' + x'y
F₂ = y2 + xy + yz'
F3 = xyz + xy
F3 = (x + y)z
. Design a four-input priority encoder with inputs, but with input Do having the highest
priority and input D3 the lowest priority.
1. Implement the following Boolean function with a multiplexer:
(a) FAB.CD=
(0,2,5,8,10,14)
(b) FA,B,C,D=(2,6,11)
Transcribed Image Text:. Design a combinational circuit with three inputs, x, y, and z, and three outputs, A, B, and C. When the binary input is 0, 1, 2, or 3, the binary output is one greater than the input. When the binary input is 4, 5, 6, or 7, the binary output is two less than the input. 2. Using a decoder and external gates, design the combinational circuit defined by the following three Boolean functions: (a) F₁ = xyz' +xz (b) F₁ = (y + x)2 F₂ = xy'z' + x'y F₂ = y2 + xy + yz' F3 = xyz + xy F3 = (x + y)z . Design a four-input priority encoder with inputs, but with input Do having the highest priority and input D3 the lowest priority. 1. Implement the following Boolean function with a multiplexer: (a) FAB.CD= (0,2,5,8,10,14) (b) FA,B,C,D=(2,6,11)
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