1. By using Boolean algebra, (i) simplify the following Boolean expression; A.C + A.B.C+ A.B.C+ A.(BOC) (ii) prove that B.C+ A.C = B.C+A.C+ A.B
1. By using Boolean algebra, (i) simplify the following Boolean expression; A.C + A.B.C+ A.B.C+ A.(BOC) (ii) prove that B.C+ A.C = B.C+A.C+ A.B
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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![1. By using Boolean algebra,
(i)
simplify the following Boolean expression;
A.C+ A.B.C + A.B.C+ A.(BO C)
(ii)
prove that
B.C+ A.C = B.C+ Ā.C+ Ā.B
2. F(A,B,C,D) = C.D+ B.C + B.C.D + A.B.C. Map the function directly into a Karnaugh map
(without obtaining the truth table) and simplify it in SOP.
3. Obtain the minimum POS expression from the Karnaugh map in Figure 1(i). X indicates a don't
care condition.
ВС
11 10
1 0
00
01
A
1
1
1
X
Figure 1(i)
4. F(A,B,C,D) = I(1, 3, 5, 9, 13, 15) and don't care = D(2, 4, 7, 12, 14).
(i)
Obtain the minimized POS expression using the K-map.
(ii)
Implement the minimized function in NOR-NOR configuration.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F04ea8bc2-ff6f-4bee-b2a7-b1815706266a%2F7c3fde17-0a73-4846-b947-7386ba362e37%2Fdn58aq_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. By using Boolean algebra,
(i)
simplify the following Boolean expression;
A.C+ A.B.C + A.B.C+ A.(BO C)
(ii)
prove that
B.C+ A.C = B.C+ Ā.C+ Ā.B
2. F(A,B,C,D) = C.D+ B.C + B.C.D + A.B.C. Map the function directly into a Karnaugh map
(without obtaining the truth table) and simplify it in SOP.
3. Obtain the minimum POS expression from the Karnaugh map in Figure 1(i). X indicates a don't
care condition.
ВС
11 10
1 0
00
01
A
1
1
1
X
Figure 1(i)
4. F(A,B,C,D) = I(1, 3, 5, 9, 13, 15) and don't care = D(2, 4, 7, 12, 14).
(i)
Obtain the minimized POS expression using the K-map.
(ii)
Implement the minimized function in NOR-NOR configuration.
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