1. Identify each of the following expressions as SOP, standard SOP, POS, or standard POS: (a) AB + ABD + ĀCD (c) ABC + ABC (b) (A + B + C)(A + B+ C) (d) A(A + C)(A + B) 2. Convert each SOP expression in Question 1 to standard form.
1. Identify each of the following expressions as SOP, standard SOP, POS, or standard POS: (a) AB + ABD + ĀCD (c) ABC + ABC (b) (A + B + C)(A + B+ C) (d) A(A + C)(A + B) 2. Convert each SOP expression in Question 1 to standard form.
Introductory Circuit Analysis (13th Edition)
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Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
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Question
![Worksheet IV 2021
1. Identify each of the following expressions as SOP, standard SOP, POS, or standard
POS:
(a) AB + ABD + ACD
(c) ABC + ABC
(b) (A + B + C)(A + B + C)
(d) A(A + C)(A + B)
2. Convert each SOP expression in Question 1 to standard form.
3. Convert each POS expression in Question 1 to standard form.
4
Obtain the truth table of the following functions, and express each function in sum-of-minterms
and product-of-maxterms form:
(a) (xy + 2)(y + x2)
(c) x'z + wx'y + wyz' + w'y
(b) (x + y')(y'+ 2)
(d) (xy + yz+ x'z)(x + z)
. 5.
Simplify the following Boolean expressions to a minimum number of literals:
(а)* АВС + A'В + АВС"
(c)* (x + y)'(x' + y')
(e) (BC' + A'D)(AB' + CD')
(b) x'yz + xz
(d) xy + x(wz + wz')
(f) (x + y' + z')(x' + z')
6.
Write the Boolean equations and draw the logic diagram of the circuit whose outputs are defined
by the following truth table:
at
b
f2
0.
1
1
1.
1
Page 1 of 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe8eb3540-5dc9-407b-8653-e52cda629fda%2F9d61ef1a-da21-42fc-aead-3b6ca151e14e%2Fxobvflq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Worksheet IV 2021
1. Identify each of the following expressions as SOP, standard SOP, POS, or standard
POS:
(a) AB + ABD + ACD
(c) ABC + ABC
(b) (A + B + C)(A + B + C)
(d) A(A + C)(A + B)
2. Convert each SOP expression in Question 1 to standard form.
3. Convert each POS expression in Question 1 to standard form.
4
Obtain the truth table of the following functions, and express each function in sum-of-minterms
and product-of-maxterms form:
(a) (xy + 2)(y + x2)
(c) x'z + wx'y + wyz' + w'y
(b) (x + y')(y'+ 2)
(d) (xy + yz+ x'z)(x + z)
. 5.
Simplify the following Boolean expressions to a minimum number of literals:
(а)* АВС + A'В + АВС"
(c)* (x + y)'(x' + y')
(e) (BC' + A'D)(AB' + CD')
(b) x'yz + xz
(d) xy + x(wz + wz')
(f) (x + y' + z')(x' + z')
6.
Write the Boolean equations and draw the logic diagram of the circuit whose outputs are defined
by the following truth table:
at
b
f2
0.
1
1
1.
1
Page 1 of 1
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