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

Compute the frequency of the radiation, Q. The work function of a metal sur...

Q. The work function of a metal surface is 6.626 X 10-19 joule. Compute the frequency of the radiation? Work function                                     W = hγ o The fre

What is insertion point, A vertical flashing line that permits the user whe...

A vertical flashing line that permits the user where text will be inserted.

Explain the parallel data storage - application of flip flop, Explain the P...

Explain the Parallel Data Storage - application of flip flops? In digital systems, data are usually stored in groups of bits that represent numbers, codes, or other information

What are primary keys and foreign keys, What are primary keys and foreign k...

What are primary keys and foreign keys? Primary keys are the unique identifiers for every row. They must have unique values and cannot be null. Due to their significance in rel

Subtract, Write the Add/subtract rule for floating point numbers. Ans:...

Write the Add/subtract rule for floating point numbers. Ans: a. Select the number with the smaller exponent and shift its mantissa right a number of steps equal to the differe

Explain elements of language grammer, Explain elements of language Gram...

Explain elements of language Grammer . As proposed through Noam Chomsky, a grammar G contains the following elements: a. A finite set N of non terminal symbols. b. A f

What is status control and registers, Q. What is Status Control and Registe...

Q. What is Status Control and Registers? Status Control and Registers: These registers can't be used by programmers though are used to control CPU or execution of a program.

What data structure is used by an operating system, What data structure is ...

What data structure is used by an operating system to keep track of process information? Explain A data structure termed as process control block (PCB ) is used by an operat

Illustrates several names of popular internet browsers, Illustrates several...

Illustrates several names of popular internet browsers? Popular Internet Browsers are: Internet Explorer, Netscape Navigator and Mosaic, Google chrome and Mozilla and Opera.

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