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

What are the address-sequencing capabilities, What are the address-sequenci...

What are the address-sequencing capabilities required in a control memory? i. Incrementing the control address register ii. Unconditional branch as specified by address fiel

What is byte addressable memory, What is byte addressable memory? The a...

What is byte addressable memory? The assignment of successive addresses to successive byte locations in the memory is known as byte addressable memory.

Explain usenet and newsgroups, Q. Explain Usenet and Newsgroups? In Int...

Q. Explain Usenet and Newsgroups? In Internet there exists another way to meet people and share information. One such way is through Usenet newsgroups. These are special groups

Using the editor or debugger, Write a script that will read from a file x a...

Write a script that will read from a file x and y data points in the following format: x   0    y  1 x  1.3  y  2.2 x  2.2  y  6 x  3.4  y  7.4 The format of each line in the

Explain naming convention in arrays, Explanation Arrays in many programm...

Explanation Arrays in many programming-languages generally show a fixed list of values (e.g. a list of lastnames). Though within SQABasic the size for an array can either be fix

3 variable k-maps, 3-variable K-maps have 8 squares which arenormally arran...

3-variable K-maps have 8 squares which arenormally arranged in 4 columns and 2 rows.Columns are labeled with 2 variables. The columns are arranged so that either A or B cha

Vertical alignment of fields one below the other, Which Command permits for...

Which Command permits for vertical alignment of fields one below the other. UNDER Command is used ofr vertical alignment.

Explain bus, Define bus. When a word of data is transferred among units...

Define bus. When a word of data is transferred among units, all the bits are transferred in parallel over a set of lines called bus. In addition to the lines that take the data

Why wap gateways are used, Why WAP gateways are used? The Wireless Appl...

Why WAP gateways are used? The Wireless Application Protocol Gateway is a very unique product giving semi -automatic redirection of HTML documents to WAP compatible mobile phon

Scanners, A Scanner is a device which allows you to capture photographs or ...

A Scanner is a device which allows you to capture photographs or drawings or text from tangible sources (paper or slides etc.) in electronic form. Scanners work by detecting differ

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