Simplify the boolean expression, Computer Engineering

Assignment Help:

Simplify the Boolean expression F = C(B + C)(A + B + C).

Ans. Simplification of the given Boolean Expression F = C (B +C) (A+B+C) given as
F = C (B+C) (A+B+C)
= CB + CC [(A+B+C)]
= CB + C [(A+B+C)]   (Q CC = C)
= CBA + CBB + CBC + CA + CB + CC
= ABC + CB + CB + CA + CB + CC  (Q CBB =CB & CBC = CB)
= ABC + CB + CA + C   (Q CB+CB+CB = CB; CC = C)
= ABC + BC + C (1+A)
= ABC + BC + C    (Q 1+A = 1)
= ABC + C (1+B)
= ABC + C   (Q 1+B = 1)
= C (1+AB) = C {Q (1+AB)=1}


Related Discussions:- Simplify the boolean expression

Identifying stakeholders, I have chosen an imaginary example to illustrate...

I have chosen an imaginary example to illustrate the different stakeholder categories. At Home sells a selection of consumer products, currently listed in a paper catalogue, whi

Enumerate the design reusability of vhdl, Enumerate the Design reusability ...

Enumerate the Design reusability of VHDL VHDL.  Functions  and  Procedures  may  be  placed  in  a  package  so  that  they  are  available  to  any design-unit which wishes t

Operating sustem, describe the action by thread library to context switch ...

describe the action by thread library to context switch between user level threads

C token, describe briefly about the c token with suitable example program

describe briefly about the c token with suitable example program

Building is into our operational processes, Building IS into our operationa...

Building IS into our operational processes - Information System Although information systems are becoming increasingly prevalent they are not always the correct solution to ev

Explain debug monitors, Explain Debug monitors. Debug monitors give d...

Explain Debug monitors. Debug monitors give debugging support for a program. A debug monitor executes the program being debugged in its own control thereby giving execution e

Write the html code to webpage to insert scrollable lists, Write the HTML c...

Write the HTML code to accomplish the web page to insert scrollable lists that will always display four entries of the list. The HTML code to accomplish the web page is given b

Write an awk program - unix , Write an AWK program which takes the followin...

Write an AWK program which takes the following input file and processes it. $cat data.txt John Do 111-1111 English 90 Maths 80 Alice Do 222-2222 English 90 Maths 90 Chemistry 93

Future scope of the internet, Q. Future scope of the Internet? The futu...

Q. Future scope of the Internet? The future scope of the Internet, along with the World Wide Web (born in 1990), and the commercialization of the Internet are bound to grow exp

Determine the simplified sop boolean expression, Reduce the following equat...

Reduce the following equation using k-map Y = BC‾D‾ + A‾BC‾D + ABC‾D + A‾BCD + ABCD Ans. Multiplying the first term with (A+A') Y = A'BC'D' + ABC'D' + A'BC'D + ABC'D + A'BCD + A

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