is given by the a Boolean following ath table: (127 - no), (abclefg. %3D a) Draw the corresponding Karnaugh map for the Sum of Products (SoP) minimization АВCD F b) Obtain the minimal SoP expression for F(A, B,C, D) from the map 0000 0001 1 c) Draw the corresponding standard SoP form circuit for F(4, B,C,D) a 0010 b d) Draw the corresponding Karnaugh map for the Product of Sums (PoS) minimization 0011 0100 d. e) Obtain the minimal PoS expression for F(A, B,C, D) from the map f) Draw the corresponding standard PoS form circuit for F(A,B,C,D) 0101 e 0110 0111 1000 1001 1010 0. g f 1011 1100 1101 1110 1111 a

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
Question
 

About digital system designs

Q3.
Assuming (127- no) = (abcdefg),, a Boolean function F(A,B,C,D) is given by the
по
|
following ath table:
(127- no) = (abclefg)
a) Draw the corresponding Karnaugh map for the Sum of Products (SoP)
minimization
АВCD
F
0000
1
b) Obtain the minimal SoP expression for F(A, B,C,D) from the map
0001
c) Draw the corresponding standard SoP form circuit for F(A, B,C, D)
a
0010
0011
0100
d) Draw the corresponding Karnaugh map for the Product of Sums (PoS)
minimization
d
e) Obtain the minimal PoS expression for F(A, B,C,D) from the map
0101
e
0110
f
f) Draw the corresponding standard PoS form circuit for F(A, B,C,D)
0111
1000
0.
1001
1010
1011
f
e
1100
d.
1101
1110
b
1111
a
Transcribed Image Text:Q3. Assuming (127- no) = (abcdefg),, a Boolean function F(A,B,C,D) is given by the по | following ath table: (127- no) = (abclefg) a) Draw the corresponding Karnaugh map for the Sum of Products (SoP) minimization АВCD F 0000 1 b) Obtain the minimal SoP expression for F(A, B,C,D) from the map 0001 c) Draw the corresponding standard SoP form circuit for F(A, B,C, D) a 0010 0011 0100 d) Draw the corresponding Karnaugh map for the Product of Sums (PoS) minimization d e) Obtain the minimal PoS expression for F(A, B,C,D) from the map 0101 e 0110 f f) Draw the corresponding standard PoS form circuit for F(A, B,C,D) 0111 1000 0. 1001 1010 1011 f e 1100 d. 1101 1110 b 1111 a
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