Simplify the expressions by using boolean postulates, Computer Engineering

Assignment Help:

Simplify the given expressions using Boolean postulates
Y = (A + B)(A‾ + C)(B + C)

Ans. Y = (A + B)(A‾ + C)(B + C)
= (A A‾ + AC + B A‾ + BC) (B + C)
= (AC + B A‾ + BC) (B + C)                               (As A A‾ = 0)
= ABC + BB A‾ + BBC + ACC + BA‾C + BCC
= ABC + B A + BC + AC + BA‾C + BC            (As BB = B)
= ABC + AC + BA‾ + BA‾C+ BC                     (As BC + BC = BC)
=AC (B+1) + B A‾ + BC (A‾ +1)
= AC + B A‾ + BC                                                (As B + 1 = 1 and A‾ + 1 = 1)
= AC + B A‾ + BC (A + A‾)                                  (As A + A‾ = 1)
= AC + BA‾ + BCA + BCA‾
= AC(1 + B) + BA‾ (1 + C)

= AC + BA‾                     {As (1 + B) = 1 and (1 +C) = 1}.


Related Discussions:- Simplify the expressions by using boolean postulates

What are the various components in sequence diagrams, ? Actor: Actor shows ...

? Actor: Actor shows an external user / end user who interact with the system. ? Object: Object is shown by one of components of the system. ? Unit: A unit is a subsystem, o

Future trends of microcontrollers, Currently microcontrollers are embedded ...

Currently microcontrollers are embedded within most products, typical uses are in Camera's for auto focus and display drivers, Laser printers to compute fonts and control printing.

Define baud rate, Define baud rate The rate of data transfer in serial...

Define baud rate The rate of data transfer in serial data communication is signified in bps. Bits per second (bps) is the rate of transfer of information bits. Baud is the num

How does applet update its window when information changs, How does the App...

How does the Applet update its window when information changes? Whenever an applet requires to update the information displayed in its window, this simply calls repaint ( ) way

Illustrate about first generation computers, Q. Illustrate about First Gene...

Q. Illustrate about First Generation Computers? It is certainly ironic that scientific inventions of great impact have frequently been linked with supporting a very sad as well

Define alphabet and string, Define Alphabet and String? A finite set of...

Define Alphabet and String? A finite set of symbols is termed as alphabet. An alphabet is frequently signified by sigma, yet can be specified any name. B = {0, 1} here B is

Digital systems and microprocessors, Your logic function for this assignmen...

Your logic function for this assignment is to be derived from your own student number. The number 1224583 will be used as an example as to how you should derive your function and e

How can i handle floating-point exceptions gracefully, 'On many systems, yo...

'On many systems, you can describe a function matherr which will be known as when there are certain floating-point errors, like errors in the math routines in .

Address phase - computer architecture, Address phase: A PCI bus transa...

Address phase: A PCI bus transaction starts having an address phase. The initiator,  after seeing that it has GNT# and the bus is inactive, drives the target address onto the

Should validation occur server-side or client-side, Should validation (did ...

Should validation (did the user enter a real date) occur server-side or client-side? Why? Validation will be done in both sides i.e., at the server side and client side. Ser

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