Worksheet IV 20211. Identify each of the following expressions as SOP, standard SOP, POS, or standardPOS:(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.4Obtain the truth table of the following functions, and express each function in sum-of-mintermsand 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 definedby the following truth table:atbf20.111.1Page 1 of 1

1. a) AB + A¯BD + A¯CD¯ It B an SOP expression b) (A +B¯ +C) ( A + B + C¯) It is a standard POS…

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)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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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

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1. Using Boolean algebra to simplify the following expressions. Then find the truth table of each after connecting the circuits. a. F A B+A (B+C) + B (B+C) b. F (A+B+A B) (A+B) c. F (A B) e (B C) d. F, (AO B) (BO C) %3D %3D %3!
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