1. For the following logic gates: a. Write a Truth Table and logic equation? A Y A A. Y A Y "0" A A neotoof "0"> Day Y "1" A ADY DY A B DD A B b. What each of these gates represent? 2. Connect and draw the following digital logic equations: a. Y=X+1 b. Y=X+X' = \ c. Y=X X' d. Y=X 0 e. Y=XX' f. Y=XOX 3. Prove that: a. X(Y+Z)=XY+XZ b. X+YZ=(X+Y)(X+Z) c. (X+Y)'=X'Y' d. (XY)'=X'+Y e. X+XY=X f. X(X+Y)=X

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. For the following logic gates:
a. Write a Truth Table and logic equation?
A
Y
A
A.
Y
A
Y
"0"
A
A
neotoof
"0">
Day
Y
"1"
A
ADY
DY
A
B
DD
A
B
b. What each of these gates represent?
2. Connect and draw the following digital logic equations:
a. Y=X+1
b. Y=X+X' = \
c. Y=X X'
d. Y=X 0
e. Y=XX'
f. Y=XOX
3. Prove that:
a. X(Y+Z)=XY+XZ
b. X+YZ=(X+Y)(X+Z)
c. (X+Y)'=X'Y'
d. (XY)'=X'+Y
e. X+XY=X
f. X(X+Y)=X
Transcribed Image Text:1. For the following logic gates: a. Write a Truth Table and logic equation? A Y A A. Y A Y "0" A A neotoof "0"> Day Y "1" A ADY DY A B DD A B b. What each of these gates represent? 2. Connect and draw the following digital logic equations: a. Y=X+1 b. Y=X+X' = \ c. Y=X X' d. Y=X 0 e. Y=XX' f. Y=XOX 3. Prove that: a. X(Y+Z)=XY+XZ b. X+YZ=(X+Y)(X+Z) c. (X+Y)'=X'Y' d. (XY)'=X'+Y e. X+XY=X f. X(X+Y)=X
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