4. Boolean algebra a, b, and c are Boolean variables. F(a, b, c) is a Boolean function with the formula: F(a,b,c) = a (bc + ab +7) (abc +ċ +1) a)[5 pts] Fill out the values for F in the below table. a b C F 1 1 1 1 1 1 1 1 1 1 1 1 b)[5 pts] Use the minterm method to find a simpler formula for F. (You can type "(~x)" to indicate complement of x if you cannot type the complement symbol) c)[10 pts] Apply the laws of Boolean algebra on the minterm result to find an even simpler formulo for Eu Reolesn verieble ie u eed ot meet Show eeoh oten

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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please show the work how you fill the table using the above given. thanks 

4. Boolean algebra
a, b, and c are Boolean variables. F(a, b, c) is a Boolean function with the formula:
F (a,b,c) = a (bc + ab+T) (abc+č + 1)
a)[5 pts] Fill out the values for F in the below table.
a
b
F
0|0
0| 0
1
1
1
1
1
1
1
1
1
1
1
b)[5 pts] Use the minterm method to find a simpler formula for F.
(You can type "(~x)" to indicate complement of x if you cannot type the complement symbol)
c)[10 pts] Apply the laws of Boolean algebra on the minterm result to find an even simpler
formula for F where each Boolean variable is used at most once. Show each step.
Ol o
Transcribed Image Text:4. Boolean algebra a, b, and c are Boolean variables. F(a, b, c) is a Boolean function with the formula: F (a,b,c) = a (bc + ab+T) (abc+č + 1) a)[5 pts] Fill out the values for F in the below table. a b F 0|0 0| 0 1 1 1 1 1 1 1 1 1 1 1 b)[5 pts] Use the minterm method to find a simpler formula for F. (You can type "(~x)" to indicate complement of x if you cannot type the complement symbol) c)[10 pts] Apply the laws of Boolean algebra on the minterm result to find an even simpler formula for F where each Boolean variable is used at most once. Show each step. Ol o
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