7. 1) Write a Boolean equation in sum-of-products canonical form for each of the following five truthtables. 2) Then minimize each of the Boolean equation, and 3) sketch a combinational circuit thatimplement the minimized Boolean equation using only NOT, AND and OR gates.(b)(e)(a)A B Y01 111THOODOH OH1AOOOOHHА11Bооннос011COHO1нононY0ононРЕНС11111(c)A B C Y0OOOOHHHH11oorННОон11 10OHOO1 11нонон1OH OOOOHH111 1 1 1(d)AO O O O O O OOHHdddd0111111BOO Cв000OHHHH OOOOHH0111C D1нноонноонноонно11 11111 1 11 11OHOHOHOHOHOHOHOH11Y11 111 0HOHHOOHHHO HOOOOO10111 1111A B0O O O O OOOOHHHH01111НННН0000ннннооо о1COOHH OOHH OOHH OOHHс D1 01 1TOTOHOHOHOHOHOHOO11 0 01 1 101 1 111 1 0 11 01Y0OOOHOOHdddHH OOOO1 1 0 11 1 1 001 1 1 1111 1 111

1) Write a Boolean equation in sum-of-products canonical form for each of the following five truth tables. 2) Then minimize each of the Boolean equation, and 3) sketch a combinational circuit that implement the minimized Boolean equation using only NOT, AND and OR gates. (a) A 0 0 1 1 B 0 0 Y 1 1 0 1 1 1 (b) A в с Y 0 0 1 1 10 00НННН 1 1 1 1 нроонноо 1 1 1 1 OHOHOHOH 1 1 1 1 1 1 0 1 о (c) A 0 1 о о OHHHH 0 1 1 1 1 B с Y 0 0 0 0 1 1 1 0 1 1 -ноо но 0 1 нон нноооонс 1 1 (d) A в 0 1 0 0 0 0 0 0 0ННН 1 1 ...ОННННОООС с 0 -нооннооннос 1 1 1 1 DOHOHOHOHOHOR HOTLOOHHHOHO 1 1 1 1 1 1 1 1 Y A 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 Н Н Н г 1 1 B 0000ННННО 0 0 0 ОоонНООННООНГ 1 1 1 1 1 1 1 D -онононононс Y 0 OOHOOHHHH de 1

1) Write a Boolean equation in sum-of-products canonical form for each of the following five truth tables. 2) Then minimize each of the Boolean equation, and 3) sketch a combinational circuit that implement the minimized Boolean equation using only NOT, AND and OR gates. (a) A 0 0 1 1 B 0 0 Y 1 1 0 1 1 1 (b) A в с Y 0 0 1 1 10 00НННН 1 1 1 1 нроонноо 1 1 1 1 OHOHOHOH 1 1 1 1 1 1 0 1 о (c) A 0 1 о о OHHHH 0 1 1 1 1 B с Y 0 0 0 0 1 1 1 0 1 1 -ноо но 0 1 нон нноооонс 1 1 (d) A в 0 1 0 0 0 0 0 0 0ННН 1 1 ...ОННННОООС с 0 -нооннооннос 1 1 1 1 DOHOHOHOHOHOR HOTLOOHHHOHO 1 1 1 1 1 1 1 1 Y A 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 Н Н Н г 1 1 B 0000ННННО 0 0 0 ОоонНООННООНГ 1 1 1 1 1 1 1 D -онононононс Y 0 OOHOOHHHH de 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

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Question

7. 1) Write a Boolean equation in sum-of-products canonical form for each of the following five truth
tables. 2) Then minimize each of the Boolean equation, and 3) sketch a combinational circuit that
implement the minimized Boolean equation using only NOT, AND and OR gates.
(b)
(e)
(a)
A B Y
0
1 1
1
1
THOOD
OH OH
1
AOOOOHH
А
1
1
B
ооннос
0
1
1
C
OHO
1
нонон
Y
0
ононРЕНС
1
1
1
1
1
(c)
A B C Y
0
OOOOHHHH
1
1
oor
ННОон
1
1 1
0
OHOO
1 1
1
нонон
1
OH OOOOHH
1
1
1 1 1 1
(d)
A
O O O O O O OOHHdddd
0
1
1
1
1
1
1
BOO C
в
0
0
0
OHHHH OOOOHH
0
1
1
1
C D
1
нноонноонноонно
1
1 1
1
1
1
1 1 1
1 1
1
OHOHOHOHOHOHOHOH
1
1
Y
1
1 1
1
1 0
HOHHOOHHHO HOOOOO
1
0
1
1
1 1
1
1
1
A B
0
O O O O OOOOHHHH
0
1
1
1
1
НННН0000ннннооо о
1
COOHH OOHH OOHH OOHH
с D
1 0
1 1
TOTOHOHOHOHOHOHOO
1
1 0 0
1 1 1
0
1 1 1
1
1 1 0 1
1 0
1
Y
0
OOOHOOHdddHH OOOO
1 1 0 1
1 1 1 0
0
1 1 1 1
1
1
1 1 1
1
1

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