Q2. Assuming (xx+ 22),, =(abcdefg), , a Boolean function F(ABCD) is given by the following truth table: (xx=58) 10 (xx + 22), =(abcdefig), a) Draw the corresponding Karnaugh map for the Sum of Products (SOP) minimization %3D 10 АВCD F b) Obtain the minimal SOP expression for F(ABCD) from the map 0000 0001 0010 1 c) Draw the corresponding standard SOP form circuit for F(ABCD) d) Draw the corresponding Karnaugh map for the Product of Sums (POS) minimization e) Obtain the minimal POS expression for F(ABCD) from the map 0011 с 0100 d 0101 e 0110 f 0111 f) Draw the corresponding standard POS form circuit for F(ABCD) g 1000 X 1001 1010 1011 1100 1101 e 1110 f 1111 g x: don't care

Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN:9780133594140
Author:James Kurose, Keith Ross
Publisher:James Kurose, Keith Ross
Chapter1: Computer Networks And The Internet
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Problem R1RQ: What is the difference between a host and an end system? List several different types of end...
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Q2. Assuming (xx+ 22) = (abcdefg), , a Boolean function F(ABCD) is given by the following
truth table: (xx=58)
%3D
10
(xx + 22), =(abcdefg),
a) Draw the corresponding Karnaugh map for the Sum of Products
(SOP) minimization
b) Obtain the minimal SOP expression for F(ABCD) from the map
10
АВCD
F
0000
1
0001
c) Draw the corresponding standard SOP form circuit for F(ABCD)
X
0010
0011
d) Draw the corresponding Karnaugh map for the Product of Sums
(POS) minimization
e) Obtain the minimal POS expression for F(ABCD) from the map
f) Draw the corresponding standard POS form circuit for F(ABCD)
0100
d
0101
e
0110
f
0111
g
1000
X
1001
1010
1011
1100
d
1101
e
1110
f
1111
g
x: don't care
Transcribed Image Text:Q2. Assuming (xx+ 22) = (abcdefg), , a Boolean function F(ABCD) is given by the following truth table: (xx=58) %3D 10 (xx + 22), =(abcdefg), a) Draw the corresponding Karnaugh map for the Sum of Products (SOP) minimization b) Obtain the minimal SOP expression for F(ABCD) from the map 10 АВCD F 0000 1 0001 c) Draw the corresponding standard SOP form circuit for F(ABCD) X 0010 0011 d) Draw the corresponding Karnaugh map for the Product of Sums (POS) minimization e) Obtain the minimal POS expression for F(ABCD) from the map f) Draw the corresponding standard POS form circuit for F(ABCD) 0100 d 0101 e 0110 f 0111 g 1000 X 1001 1010 1011 1100 d 1101 e 1110 f 1111 g x: don't care
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