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 about communication displays and matrix, Q. What is communication D...

Q. What is communication Displays and Matrix? Communication Displays Communication displays offer support in concluding frequency of communication whether congestion in me

Determine flip flop the msi chip is dual edge triggered, The MSI chip 7474 ...

The MSI chip 7474 is ? Ans. MSI chip 7474 is TTL, dual edge triggered D Flip-Flop.

What is pointers function, Visual basic applications have very rich and fle...

Visual basic applications have very rich and flexible applications but there is single limitation when using pointer function. Windows API has limited support for function pointers

Breif on loosely coupled systems, Loosely Coupled Systems These s...

Loosely Coupled Systems These systems don't share global memory since shared memory concept increases the problem of memory conflicts, which consecutively slows down the

Network for digital methods in the arts and humanities, Network for Digital...

Network for Digital Methods in the Arts and Humanities: Europe has seen a signifi cant investment in the digitisation of its cultural heritage as part of the worldwide establi

What are the differences between simulation and synthesis, What are the dif...

What are the differences between SIMULATION and SYNTHESIS Simulation synthesis Simulation is used to verify functionality of the circuit.. a) Functional Simulation:stud

What are the different tones used in strowger telephony, What are the diffe...

What are the different tones used in strowger telephony? Explain with the help of waveforms and the timings. Dial Tone: it is used to indicate that the exchange is ready to r

Define a formal system, Q. Define a Formal System? A Formal System is o...

Q. Define a Formal System? A Formal System is one which is planned in advance and is used according to schedule. In this system procedures and policies are documented well in a

State about the machine language programs, State about the machine language...

State about the machine language programs The computer can run only machine language programs, one needs to translate above programs to machine language programs. To translate

Explain region, What is a Region? A Region is a continuous area of a p...

What is a Region? A Region is a continuous area of a process's address space (like text, data and stack). The kernel in a "Region Table" that is local to the process mainta

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