[11] Convert each of the following expressions into sum of products and product of sums: (a) F = (AB+C)(B+ CD) (b) F= x + x(x + y) (y + 2)

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
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[11] Convert each of the following expressions into sum of products and product of sums :
(a) F = (AB+C)(B+CD)
(b) F= x + x(x + y) (y + z)
[12] Express the following functions as CSOP and CPOS expressions:
(a) F(x,y,z) = (x+y+z)(x+z') + yz
(b) F(w, x, y, z)=xy(wz+wz) (w+xz)
in terms of x, y, and z
in terms of w, x, y, and z
[13] Given the following pulse trains for A, B and C, draw the pulse trains for F₁ and F2.
B
A
C
D
F1
D
Draw the answers here
F2 B 0
F₁
A 1
F2
C 0
1
0
1
1
1
0
1
0
0
0 1
1
1
0 1
0
0
1
1
Transcribed Image Text:[11] Convert each of the following expressions into sum of products and product of sums : (a) F = (AB+C)(B+CD) (b) F= x + x(x + y) (y + z) [12] Express the following functions as CSOP and CPOS expressions: (a) F(x,y,z) = (x+y+z)(x+z') + yz (b) F(w, x, y, z)=xy(wz+wz) (w+xz) in terms of x, y, and z in terms of w, x, y, and z [13] Given the following pulse trains for A, B and C, draw the pulse trains for F₁ and F2. B A C D F1 D Draw the answers here F2 B 0 F₁ A 1 F2 C 0 1 0 1 1 1 0 1 0 0 0 1 1 1 0 1 0 0 1 1
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