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

How does output caching work in asp.net, How does output caching work in AS...

How does output caching work in ASP.NET?    Output caching is a powerful method that enhances request/response throughput by caching the content generated from dynamic pages. O

Write a short note on structure chart, Write a short note on structure char...

Write a short note on structure chart.    Structure Chart is an significant program design method and it shows all components of code in a hierarchical format

Basic architecture of computer system, Q. Basic Architecture of computer sy...

Q. Basic Architecture of computer system? Replacing the ALU and CU (i.e., CPU) of Figure by a microprocessor, and storing instructions and data in the same memory, one arrives

Why isdn handles data pertaining, ISDN handles data pertaining to? ISDN...

ISDN handles data pertaining to? ISDN handles data pertaining to all digital services.

What is load-through or early restart, What is load-through or early restar...

What is load-through or early restart? When a read miss happens for a system with cache the needed word may be sent to the processor as soon as it is read from the main memory

Specify the goals of parsing, Specify the goals of parsing. Goals: ...

Specify the goals of parsing. Goals: a. To check the validity of source string b. To agree on the syntactic structure of a source string. For invalid string this rep

What is flag, Flag is a flip-flop used to kept the information about the st...

Flag is a flip-flop used to kept the information about the status of a processor and the status of the instruction implemented most recently A software or hardware mark that si

Evaluate - 48 - 23 by using the 2's complement method, Perform the - 48 - 2...

Perform the - 48 - 23 operations using the 2's complement method. Ans. - 48 - 23 = - 48 + (-23)     -48     =  1 1 0 1 0 0 0 0     -23     =  1 1 1 0 1 0 0 1       = -71

What are multi-cycle paths, What are multi-cycle paths? Multi-cycle pat...

What are multi-cycle paths? Multi-cycle paths are paths among registers which take more than one clock cycle to turn out to be stable. For illustration analyzing the de

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