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

Determine the decimal equivalent of octal number, The number 140 in octal i...

The number 140 in octal is equivalent to decimal number ? Ans. (140) 8 = (96) 10 As 1 x 8 2 + 4 x 8 + 0x 1 = 64 + 32 = 96

Usability test of website, For this part of your assessment you are require...

For this part of your assessment you are required to prepare and conduct a usability test of the website that you have chosen to review from Part A . You must design the script,c

Paging, Hardware Support for paging

Hardware Support for paging

Determine the begin - end keywords, Determine the begin - end keywords ...

Determine the begin - end keywords Group several statements together. Cause the statements to be evaluated sequentially (one at a time) -> Any timing within sequential group

Conversion of fractional number into its binary number, Conversion of fract...

Conversion of fractional number 0.6875 into its equivalent binary number ? Ans. Multiply the fractional number 0.6875 with 2 until the remainder becomes 0 that is, Ther

#logic function, Minimize the following logic function using K-maps and rea...

Minimize the following logic function using K-maps and realize using NAND and NOR gates. F(A,B,C,D) =?_m(1,3,5,8,9,11,15) + d(2,13).

Why select clause comes after from clause in linq, The reason is, LINQ is u...

The reason is, LINQ is used with C# or other programming languages, which needs all the variables to be declared first. From clause of LINQ query just describes the range or condit

Computer graphics, list out of merit and de-merit plasma display

list out of merit and de-merit plasma display

Can we run matlab without graphics, Sometimes you may need to run scripts w...

Sometimes you may need to run scripts which have plotting commands without displaying the plots and without going into the script to comment out the commands. An example: if you're

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