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

Error handling in hard disk, Error handling in Hard disk in computer archit...

Error handling in Hard disk in computer architecture : Modern drives also make widespread use of Error Correcting Codes (ECCs), specifically Reed-Solomon error correction.

Explain standard set of procedure to complete a call process, Explain a s...

Explain a standard set of procedure for completing a local telephone call or call processing. Completing a local telephone call among two subscribers connected to the similar

Program for interchanging the values of two memory locations, Q. Program fo...

Q. Program for interchanging the values of two Memory locations? Program for interchanging the values of two Memory locations  ; input: Two memory variables of same size:

Secondary storage - computer architecture, Secondary storage: Secondar...

Secondary storage: Secondary storage (or external memory) differs from primary storage in that aspect it is not accessible by the CPU directly. The computer typically uses its

Change directory command, Your shell must accept a change directory command...

Your shell must accept a change directory command. This will be in the form: cd path  where cd is the change directory command and the path is what you will change the direct

What is master clock signal in control unit, Q. What is Master Clock Signal...

Q. What is Master Clock Signal in Control Unit? The Master Clock Signal: This signal causes micro-operations to be executed in a square. In a single clock cycle either a single

Combining logic gates - boolean algebra, More complicated logic circuits ca...

More complicated logic circuits can be made byconnecting a number of simple logic gates.How do we decide how to connect the gates togive a particular function e.g. output Y?We need

Explain asymmetric cryptographyand its components, Explain Asymmetric crypt...

Explain Asymmetric cryptographyand its components. Asymmetric or public-key cryptography be different from conventional cryptography in which key material is bound to a single

Diffrentiate b/w shared memory and distributed memory, Shared Memory  ...

Shared Memory  Shared Memory refers to memory component of a computer system in which the memory can accessed directly by any of the processors in the system. Distributed

What is said to be side effect, What is said to be side effect? When a ...

What is said to be side effect? When a location other than one explicitly named in an instruction as a destination operand is affected, the instruction is said to have a side e

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd