4. Given the following Truth Table expression of the logic function F: W 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 X 0 e) 0 0 1 1 1 1 0 0 0 0 1 1 1 1 Y 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 N 0 1 0 1 0 1 0 1 0 0 1 0 1 0 1 a) Find the Canonical Sum (equation format) b) Find the Canonical Sum (shorthand format ➤) d) Identify all of the literals for this function F. F 0 0 0 0 1 0 1 0 0 c) Find the Canonical Product (shorthand format D 0 1 0 0 1 0 Use the switching algebra/Boolean algebra theorems reduce the canonical sum equation by eliminating at least one product term (eliminate one gate). Show all work and identify the theorems used.

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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4. Given the following Truth Table expression of the logic function F:
W
0
0
0
0
0
0
0
0
1
1
1
1
1
1
1
1
X
0
0
0
1
1
1
e)
1
0
0
0
0
1
1
1
1
Y
0
0
1
1
0
0
1
1
0
0
1
1
0
0
1
1
N
0
1
0
1
0
1
0
1
0
0
1
10
1
0
1
a) Find the Canonical Sum (equation format)
b) Find the Canonical Sum (shorthand format >
d) Identify all of the literals for this function F.
FOOO
0
0
0
0
1
0
1
0
0
c) Find the Canonical Product (shorthand format D
0
1
0
0
1
0
Use the switching algebra/Boolean algebra theorems reduce the canonical sum
equation by eliminating at least one product term (eliminate one gate). Show all
work and identify the theorems used.
Transcribed Image Text:4. Given the following Truth Table expression of the logic function F: W 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 X 0 0 0 1 1 1 e) 1 0 0 0 0 1 1 1 1 Y 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 N 0 1 0 1 0 1 0 1 0 0 1 10 1 0 1 a) Find the Canonical Sum (equation format) b) Find the Canonical Sum (shorthand format > d) Identify all of the literals for this function F. FOOO 0 0 0 0 1 0 1 0 0 c) Find the Canonical Product (shorthand format D 0 1 0 0 1 0 Use the switching algebra/Boolean algebra theorems reduce the canonical sum equation by eliminating at least one product term (eliminate one gate). Show all work and identify the theorems used.
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