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

Subtract the numbers using 2's complements, Subtract -27 from 68 using 2's ...

Subtract -27 from 68 using 2's complements. Ans. By using 2's complement 68-(-27)= 68-(-27) 2's complement representation of 68 = 01000100(64+4) 2's complement representatio

Show the properties of text box, Q. Show the properties of Text Box? Th...

Q. Show the properties of Text Box? The tag is used to specify where user input is expected. It has several attributes, of which TYPE attribute is used to specify th

Define the while loop, The while Loop The while loop repeats a statemen...

The while Loop The while loop repeats a statement until the test at the top proves false. As an example, here is a function to return the length of a string. int string_leng

Distinguish between an agent system and an expert system, Problem : (a)...

Problem : (a) The concept of an agent is generally defined by listing the properties that agents exhibit. Identify and describe the properties that you would associate with th

Name the abap/4 modularization techniques, Name the ABAP/4 Modularization t...

Name the ABAP/4 Modularization techniques. Techniques are:- Source code module. Subroutines. Functions.

Why floating point numbe process than integer, Why floating point number mo...

Why floating point number more difficult to represent and process than integer? In floating point numbers we have to show any number in three fields sign, exponent and mantissa

Convert the following binary numbers into hexadecimal, Q. Convert the follo...

Q. Convert the following BINARY numbers into HEXADECIMAL, double check by converting the result HEXADECIMAL to BINARY. a) 1101.0110 b) 1011.11010 c) 11110.01011

Mention the various IC logic families, Mention the various IC logic familie...

Mention the various IC logic families. Ans. Different  IC Logic Families: Digital IC's are fabricated through employing either the Unipolar or the Bipolar Technologies and are te

What is the length of function code at user-command, What is the length of ...

What is the length of function code at user-command? Every menu function, push button, or function key has an associated function code of length FOUR (for example, FREE), which

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