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

Explain the paging unit, Explain the Paging Unit Paging mechanism funct...

Explain the Paging Unit Paging mechanism functions with 4K - byte memory pages or with a new extension available to Pentium with 4M byte-memory pages. In Pentium, with new 4M-b

.rapid technology, Choose one area of rapid technological change in IT or C...

Choose one area of rapid technological change in IT or Computer Science and research and report on recent developments and the outlook for the future in the area that you have chos

What is content addressable memory, What is content addressable memory? ...

What is content addressable memory? The memory unit accessed by the content is known as an associative memory or content addressable memory. This type of memory is accessed con

Electrochemistry and batteries, differentiate between concentration cells a...

differentiate between concentration cells and electrolytic cells with suitable examples?

What do you mean by loader, Q. What do you mean by Loader? Loader is a ...

Q. What do you mean by Loader? Loader is a program that assigns absolute addresses to program. These addresses are produced by adding the address from where program is loaded i

Essential features of an algorithm, Necessary features of an algorithm: ...

Necessary features of an algorithm: 1.Input: The algorithm should take zero or more input. 2. Output: The algorithm should generate one or more outputs.  3. Definiteness:

Determine in detail about the vhdl, Determine in detail about the VHDL ...

Determine in detail about the VHDL Multiple design-units (entity/architecture pairs), which reside in the same system file, may be separately compiled if so desired. Though, it

Describe the external users of system, Q. Describe the External Users of sy...

Q. Describe the External Users of system? External Users: Modern information systems are now reaching beyond the boundaries of traditional business to involve customers and o

State the example of begin end, State the Example of begin end module s...

State the Example of begin end module sequential(); reg a; initial begin $monitor ("‰g a = ‰b", $time, a); #10 a = 0; #11 a = 1; #12 a = 0; #13 a = 1; #

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