squares contain number 0. a) in АВ CD 00 01| 11 10 00 1 1 1 1 01 11 1 10 b) АВ CD 00 01 11 10 00 1 1 1 01 1 11 1 1 1 10 c) АВ CD 00 01 11 10 00 1 1 01 11 1 10 1 d) АВ CD 00 | 01 11 10 00 1 01 1 11 1 1 10 X e) АВ CD 00 01 11 10 00 1 01 1 11 1 1 10

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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(3) Simplify the circuit by using either Boolean Algebra or K-maps method to find a minimized Boolean
equation (i.e., minimized circuit).
(4) Draw a schematic or logic diagram of the minimized circuit in the format of Two-level Programmable
Logic Array (PLA). Recall we learned this format in lecture slides set 1.
A
B
Y
1
1
1
1
1
1
1
1
1
1
1
1
1
P2. (20 pts) Simplify the following Boolean equations using Boolean theorems. For each step in the
minimization process, show which theorem/rule was used to get there.
a) Y = ĀC + BC + ĀBD
b) Y %3D (A + ВC)(А + D)
c) Y = AB + C + BC
d) Transform the following Boolean equation in SOP form to POS form: Y = A + BC + DE
Transcribed Image Text:(3) Simplify the circuit by using either Boolean Algebra or K-maps method to find a minimized Boolean equation (i.e., minimized circuit). (4) Draw a schematic or logic diagram of the minimized circuit in the format of Two-level Programmable Logic Array (PLA). Recall we learned this format in lecture slides set 1. A B Y 1 1 1 1 1 1 1 1 1 1 1 1 1 P2. (20 pts) Simplify the following Boolean equations using Boolean theorems. For each step in the minimization process, show which theorem/rule was used to get there. a) Y = ĀC + BC + ĀBD b) Y %3D (A + ВC)(А + D) c) Y = AB + C + BC d) Transform the following Boolean equation in SOP form to POS form: Y = A + BC + DE
P3. (25 pts) Show the minimized Boolean expression for each one of the K-maps shown below. All blank
squares contain number 0.
a)
АВ
CD
00
01
11
10
00
1
1
1
01
11
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1
10
b)
АВ
CD
00
01
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00
1
1
1
1
01
1
1
11
1
1
10
c)
АВ
CD
00 | 01
11
10
00
1
1
01
1
11
1
1
10
1
d)
АВ
CD
00
01
11
10
00
1
01
1
11
1
1
10 |X
e)
АВ
CD
00
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X
1
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Transcribed Image Text:P3. (25 pts) Show the minimized Boolean expression for each one of the K-maps shown below. All blank squares contain number 0. a) АВ CD 00 01 11 10 00 1 1 1 01 11 1 1 10 b) АВ CD 00 01 11 10 00 1 1 1 1 01 1 1 11 1 1 10 c) АВ CD 00 | 01 11 10 00 1 1 01 1 11 1 1 10 1 d) АВ CD 00 01 11 10 00 1 01 1 11 1 1 10 |X e) АВ CD 00 01 11 10 00 X 1 01 1 1 11 1 1 10
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