Simplify the boolean expression, Computer Engineering

Assignment Help:

Simplify the Boolean expression F = C(B + C)(A + B + C).

Ans. Simplification of the given Boolean Expression F = C (B +C) (A+B+C) given as
F = C (B+C) (A+B+C)
= CB + CC [(A+B+C)]
= CB + C [(A+B+C)]   (Q CC = C)
= CBA + CBB + CBC + CA + CB + CC
= ABC + CB + CB + CA + CB + CC (Q CBB =CB & CBC = CB)
= ABC + CB + CA + C   (Q CB+CB+CB = CB; CC = C)
= ABC + BC + C (1+A)
= ABC + BC + C    (Q 1+A = 1)
= ABC + C (1+B)
= ABC + C   (Q 1+B = 1)
= C (1+AB) = C {Q (1+AB)=1}

Related Discussions:- Simplify the boolean expression

What is processor, processor, computer science

processor, computer science

Elaborate the various steps in performing a mail merge, COMPUTER FUNDAMENTA...

COMPUTER FUNDAMENTALS 1. Elaborate the various steps in performing a Mail Merge. Perform one mail merge operation for sending invitation for a conference which is being conduc

Differentiate between protection and security, Differentiate between protec...

Differentiate between protection and security. Operating system contains a collection of objects, software or hardware. All objects have a unique name and can be accessed by

Computer graphics, equations og character generation

equations og character generation

Explain the concept of thread, The Concept of Thread A thread is a sequ...

The Concept of Thread A thread is a sequential flow of control within a process. A process is able to have one or more threads. Threads have their own register-values and progr

Find out the 2's complement of 1101110, The 2's complement of the number 11...

The 2's complement of the number 1101110 is ? Ans. 1's complement of 1101110 is = 0010001 ans hence 2's complement of 1101110 is = 0010001 + 1 = 0010010.

Determine about the security policy, Determine about the Security Policy ...

Determine about the Security Policy In the United States, the government has a separate organisation looking after the security measures and providing guidelines to all departm

Goals and design principles, This is an applied unit that shows you how to ...

This is an applied unit that shows you how to assess interactive products against a selection of usability and user experience goals. It also introduces a selection of design princ

What is input - output commands, Q. What is Input - Output commands? Th...

Q. What is Input - Output commands? There are four kinds of I/O commands which an I/O interface can receive when it's addressed by a processor: Control : This type of c

What is control unit, What is Control Unit Control Unit: The control u...

What is Control Unit Control Unit: The control unit issue control signals to perform exact operation and it directs the entire computer system to carry out keeps program instr

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages