[8] Express the following function as a sum of minterms and as a product of maxterms: F(A,B,C,D)= BD + AD + BD [9] Express the complement of the following functions in sum-of-minterms form: (a) F(A,B,C,D) = (2,4,7,10,12,14) (b) F(x, y, z) = (3, 5, 7) [10] Convert each of the following to the other canonical form: (a) F(x, y, z) = (1,3,5) (b) F(A,B,C,D)=(3, 5, 8, 11) [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) [12] Express the following functions as CSOP and CPOS expressions: (a) F(x,y,z) = (x+y' + 2)(x + 2) + 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 F₁ Draw the answers here F₁ A F₂B0 F₂ 1 1 с 0 0 1 1 1 1 0 1 1 1 0 0 1 0 1 1 1 I 0 1 0 0 1 1

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
Kingdom of Saudi Arabia
Ministry of Education
Taif University
College of Computers & Information Technology
Digital Logic Design
503221-4
B
A
F₁
Draw the answers here
[8] Express the following function as a sum of minterms and as a product of maxterms:
F(A,B,C,D)= BD + AD + BD
[9] Express the complement of the following functions in sum-of-minterms form:
(a) F(A,B,C,D) = (2,4,7,10,12,14)
(b) F(x, y, z) = (3, 5, 7)
[10] Convert each of the following to the other canonical form:
(a) F(x, y, z)= (1,3,5)
(b) F(A,B,C,D)=(3, 5, 8, 11)
[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)
[12] Express the following functions as CSOP and CPOS expressions:
(a) F(x,y,z) = (x+y' + 2) (x + 2) + yz
in terms of x, y, and z
in terms of w, x, y, and z
(b) F(w, x, y, z)=xy(wz+wz)(w+xz)
[13] Given the following pulse trains for A, B and C, draw the pulse trains for F₁ and F₂.
F₂ B
F₁
جامعة المات
A
F₂
THE CITY
1
0
C 0
1 1
0
1
1
1
0
1
1
1
0
0
1
المملكة العربية السعودية
وزارة التعليم
جـامعة الطائف
0
كلية الحاسبات وتقنية المعلومات
تصميم منطقي رقمي
1
1
1444-1443
1
I
0 1
0
0
1
1
Transcribed Image Text:Kingdom of Saudi Arabia Ministry of Education Taif University College of Computers & Information Technology Digital Logic Design 503221-4 B A F₁ Draw the answers here [8] Express the following function as a sum of minterms and as a product of maxterms: F(A,B,C,D)= BD + AD + BD [9] Express the complement of the following functions in sum-of-minterms form: (a) F(A,B,C,D) = (2,4,7,10,12,14) (b) F(x, y, z) = (3, 5, 7) [10] Convert each of the following to the other canonical form: (a) F(x, y, z)= (1,3,5) (b) F(A,B,C,D)=(3, 5, 8, 11) [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) [12] Express the following functions as CSOP and CPOS expressions: (a) F(x,y,z) = (x+y' + 2) (x + 2) + yz in terms of x, y, and z in terms of w, x, y, and z (b) F(w, x, y, z)=xy(wz+wz)(w+xz) [13] Given the following pulse trains for A, B and C, draw the pulse trains for F₁ and F₂. F₂ B F₁ جامعة المات A F₂ THE CITY 1 0 C 0 1 1 0 1 1 1 0 1 1 1 0 0 1 المملكة العربية السعودية وزارة التعليم جـامعة الطائف 0 كلية الحاسبات وتقنية المعلومات تصميم منطقي رقمي 1 1 1444-1443 1 I 0 1 0 0 1 1
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