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

Integrated services digital network service, Whole idea of ISDN is to digit...

Whole idea of ISDN is to digitize the telephone network to permit transmission of video, audio and text over existing telephone lines. The purpose of ISDN is to provide fully integ

Desirable choice for the partitioning element in quick sort, A desirable ch...

A desirable choice for the partitioning element in quick sort is First element of the list.

Why is green screen more popular for compositing, Question: (a) Explain...

Question: (a) Explain clearly, from pre-production to post production how you would carry out the scene with multi-camera. (b) What are the there main aspects that should be

Illustrate working of asynchronous counters, Q. Illustrate working of Async...

Q. Illustrate working of Asynchronous Counters? This is more frequently referred as ripple counter as the change that takes place in order to increment counter ripples through

Serialized when you perform serialization, What exactly is being serialized...

What exactly is being serialized when you perform serialization? Serialization is the process of changing an object into stream of bytes. We perform it at the time of transpor

Register data type as sequential element, Reg data type as Sequential eleme...

Reg data type as Sequential element module reg_seq_example( clk, reset, d, q); input clk, reset, d; output q; reg q; wire clk, reset, d; always @ (posedge clk or

What is source and listener, A source is an object that produces an event. ...

A source is an object that produces an event. This happens when the internal state of that object changes in some way. A listener is an object that is notified when an event happen

Compatibility of sound cards, Q. Compatibility of Sound cards? Compati...

Q. Compatibility of Sound cards? Compatibility: Sound cards should be compatible at both software and hardware levels with industry standards.  Most software particularly gam

What is called dhcp, DHCP stands for? DHCP that is stands for Dynamic H...

DHCP stands for? DHCP that is stands for Dynamic Host Configuration Protocol.

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