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

What are the events used for page headers and footers, What are the events ...

What are the events used for page headers and footers? The events TOP-OF-PAGE and END-OF-PAGE are used for pager headers and footers.

Why spc is used, SPC is used for (A)  Carrying Exchange Control Functi...

SPC is used for (A)  Carrying Exchange Control Functions (B)  Carrying Subscriber Control Functions (C)  Exchange Hardware (D)  Signalling Purpose Ans:

Convert number to hexadecimal and decimal, Perform the following calculatio...

Perform the following calculations assuming that all numbers are stored in 16-bit registers as 2's complement binary numbers with no overflow provision. Convert each of the numbers

Personal computer software, Personal Computer Software     The perso...

Personal Computer Software     The personal computer software market has burgeoned from the past decade. Spreadsheets, Word processing, computer graphics, database managemen

Why are binary, Q. Why are binary, octal and hexadecimal used for computer ...

Q. Why are binary, octal and hexadecimal used for computer applications? Q. Perform the following: (189.3) 10 = (?) 2

Subprogram, create a stored procedure to debit a bank account user must ent...

create a stored procedure to debit a bank account user must enter account no. and amount to debited from account .the minimum balance in account should be 500. if the debited amoun

Object-oriented program and cell controlled class architectu, Object-Orient...

Object-Oriented Program And Cell Controlled Class Architecture To the variety of scenarios, generic cell control architecture can be applied. An object oriented programming lan

Show the reset and submit buttons in html, Reset and Submit are special typ...

Reset and Submit are special types of input buttons. Submit is used to send data to the server and Reset resets/clears the form.

What is arithmetic and logic unit, What is Arithmetic and Logic Unit Ar...

What is Arithmetic and Logic Unit Arithmetic and Logic Unit: The ALU is the 'core' of any processor. It implements all arithmetic operations (addition, multiplication, subtract

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