Prove equations by using the boolean algebraic theorems, Computer Engineering

Assignment Help:

Prove the equations using the Boolean algebraic theorems that is given below
A‾BC + AB‾C + ABC‾+ ABC = AB + BC + AC


Ans. The equation given is A‾BC + AB‾C + ABC‾+ ABC = AB + BC + AC
L.H.S = A‾BC + AB‾C + ABC‾+ ABC
= A‾BC + AB‾C + AB (C +C‾)
= A‾BC + AB‾C + AB (Q C + C‾ = 1)
= A‾BC + A (B + B‾C)
= A‾BC + A (B + C) (? B + B‾C = B + C)
= A‾BC + A B + AC
= C (A + A‾B) + AB + AC
= C (A + B) + A B + AC (? A + A‾B = A + B)
= AC + BC + AB + AC
= AB + BC + AC (? AC + AC = AC)
= R.H.S Thus Proved


Related Discussions:- Prove equations by using the boolean algebraic theorems

Virtual manufacturing system, Virtual Manufacturing System Virtual manu...

Virtual Manufacturing System Virtual manufacturing system or VMS is a synthetic, integrated manufacturing environment, developed by using information technology tools, exercise

Characteristics of input- output channels, Q. Characteristics of input- out...

Q. Characteristics of input- output channels? The I/O channel represents an extension of DMA concept. An I/O channel has ability to execute I/O instructions that gives complete

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

What is vertical organization and horizontal organization, What is vertical...

What is vertical organization and horizontal organization? Highly encoded schemes that use compact codes to state only a small number of control functions in every microinstruc

Define windows authentication, Windows Authentication This provider uti...

Windows Authentication This provider utilizes the authentication capabilities of IIS. After IIS completes its authentication, ASP.NET uses the authenticated identity's token to

Find out decimal equivalent of the hexadecimal number, What is the decimal ...

What is the decimal equivalent of the hexadecimal number 'A0' ? Ans. The decimal equivalent value is 160 of the hexadecimal number 'A0'. As   A        0      16 1     16 0    =

Uneven load distribution in parallel computers, Q. Uneven Load Distribution...

Q. Uneven Load Distribution in parallel computers? In parallel computers the problem is split in sub-problems in addition is assigned for computation to several processors howe

A universal shift register can shift in both the lef, #question.A universal...

#question.A universal shift register can shift in both the left-to-right and right-to-left directions, and it has parallel-load capability. Draw a circuit for such a shift register

Carry look-ahead adder and booth''s algorithm, Describe carry look-ahead ad...

Describe carry look-ahead adder? Ans: The input carry required by a stage is directly computed from carry signals obtained from all of the preceding stages i-1,i-2,.....0, rat

What is an orthogonal base class in c++, If two base classes have no overla...

If two base classes have no overlapping methods or data they are said to be independent of, or orthogonal to each other. Orthogonal in the sense means that two classes function in

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