Determine Boolean identities using Boolean algebra, Computer Engineering

Assignment Help:

Prove the following identities
 
a. A
‾B‾C‾ + A‾BC‾ + AB‾C‾ + ABC‾ = C
b. AB + ABC + A
‾ B + AB‾C = B + AC

Ans.

a. LHS = A'B'C' + A'BC' + AB'C' + ABC'
= A'C' (B' + B) + AC' (B' + B)
= A'C' + AC'   [as B'+B = 1]
= C' (A' + A)
= C'                   [since A'+A =1]
= RHS.
Thus Proved

b. LHS = AB + ABC + A'B + AB'C

= B + AC
= B (A + A') +  AC (B + B')
= B + AC   [as B + B' = A + A' = 1]
= B + AC
= RHS.
Thus Proved


Related Discussions:- Determine Boolean identities using Boolean algebra

Define checkbox in html, Q. Define Checkbox in html? Checkboxes are use...

Q. Define Checkbox in html? Checkboxes are used when one or more out of the group of options is to be chosen. Building Check boxes is very similar to radio buttons. Figure expl

What will be the result of adding hexadecimal A6 to 3A, The result of addin...

The result of adding hexadecimal number A6 to 3A is ? Ans. The result will be E0.

Discuss in detail table management techniques, Discuss in detail Table mana...

Discuss in detail Table management Techniques? An Assembler uses the subsequent tables: OPTAB: Operation Code Table consists of mnemonic operation code and machine langua

Show programming based on data parallelism, Q. Show Programming Based on Da...

Q. Show Programming Based on Data Parallelism? In data parallel programming model the focal point is on data distribution. Every processor works with a part of data. We will co

Describe independent loops in fortran, Q. Describe Independent Loops in for...

Q. Describe Independent Loops in fortran? HPF offers extra opportunities for parallel execution by employing the INDEPENDENT directive to declare the iterations of a do-loop is

Explain about fat - inode, Q. Explain about FAT - Inode? Today modern P...

Q. Explain about FAT - Inode? Today modern PC comprises total capacity of nearly 40GB for storage of program and data Due to this huge capacity in place of having just one oper

Multiple bus architecture - computer architecture, Multiple bus architectur...

Multiple bus architecture: One solution to the bandwidth restriction of a single bus is to simply add extra buses. Consider the architecture indicated in given figure that con

Pros and cons of general purpose register architecture, Q. Pros and Cons of...

Q. Pros and Cons of general purpose register architecture? General Purpose Register Architecture: Pros and Cons Registers can be employed to store variables as it decrea

Which rule is used for the expansion of nested macro calls, The expansion ...

The expansion of nested macro calls done by using of? Ans. LIFO rule is used for the expansion of nested macro calls.

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