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

Explain the working of bcd adder, Explain the working of BCD adder One ...

Explain the working of BCD adder One of the ways of adding decimal numbers in BCD is to use a 4-bit binary adder and perform arithmetic operation one digit at a time. The low-o

Caption to commission rate, Get a listing of the name, commission rate, and...

Get a listing of the name, commission rate, and hire date of all salesmembers who sell to commercial customers. Sort the result in order from the 1st hired to the most recently hir

What do you understand by electronic funds transfer, What do you understand...

What do you understand by Electronic Funds Transfer?  Electronic Funds Transfer: It's an electronic payment method that transfers the money value from one bank account to

What is known as multiphase clocking, What is known as multiphase clocking?...

What is known as multiphase clocking? When edge-triggered flip flops are not used, two or more clock signals may be required to guarantee proper transfer of data. This is calle

Explain briefly how the bus topology operates, Question 1: a) The aim ...

Question 1: a) The aim of a computer network is to increase efficiency and reduce costs. Describe how networks achieve the above. b) Explain briefly how the bus topology op

Tightly coupled system- shared memory system, Tightly Coupled System- Share...

Tightly Coupled System- Shared Memory System Shared memory multiprocessorshas has following description: Every processor commune through a shared global memory. For

What is input-output processors, Q. What is Input-output processors? le...

Q. What is Input-output processors? let's briefly summarize the development in area of input/output functions. These can be briefed as below: 1. CPU directly controls a peri

different versions of microsoft access to open the database, What format s...

What format should my database be saved in to allow different versions of Microsoft Access to open the database? Ans) MS Access is not backwards compatible. To share tables amon

What is the difference between tcp and udp, TCP and UDP are both transport-...

TCP and UDP are both transport-level protocols. TCP is designed to give reliable statement across a variety of reliable and unreliable networks and internets. UDP gives a conne

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