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 does the future in gimp, Version 2.8 may bring a combined Transform to...

Version 2.8 may bring a combined Transform tool (Scale, Rotate,Flip and Perspective), more use of Cairo for attractive ant aliased graphics and more usability improvements. We will

Concept of temporal parallelism, Concept of Temporal Parallelism In ord...

Concept of Temporal Parallelism In order to describe what is meant by parallelism inherent in the answer of a problem, let us talk about an example of submission of electricity

What are preprocessor directives, What are preprocessor directives? Pre...

What are preprocessor directives? Preprocessor directives: These are the commands given to a program called as pre-processor that processes the source code before it passes by

Computer network architecture, A protocol is a formal description of messag...

A protocol is a formal description of message formats and the rules two or more machines must follow to exchange those messages. Because TCP (transmission control protocol) and IP

Array is a pointer to pointer to int, Array is a pointer-to-pointer-to-int:...

Array is a pointer-to-pointer-to-int: at the first level, it points to a block of pointers, one for each row. That first-level pointer is the first one we allocate; it has nrows e

Write a cgi program that prints date and time, Write a CGI program that pri...

Write a CGI program that prints date and time at which it was run. #!/bin/sh # # CGI script that prints the date and time at which it was run # # Output the documen

Data base, why to learn data base?

why to learn data base?

Explain the working of linker, Explain the Working of Linker? Linker a...

Explain the Working of Linker? Linker as well called as link editor and binder. A linker is the program that combines object modules to form an executable program. Several pro

#title.physics, Describe the construction and working of michelson ...

Describe the construction and working of michelson iinterferometer.describe the formation of different types of fringes in Michaelson''s interferometer

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