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

Unit resolution, Unit Resolution: By assuming that we knew the sentenc...

Unit Resolution: By assuming that we knew the sentence as "Tony Blair is prime minister or may the moon is made of blue cheese", is true or we later found out that the moon is

Illustrate 16-bit isa, Illustrate 16-bit ISA?  Compare it with 8-bit ISA bu...

Illustrate 16-bit ISA?  Compare it with 8-bit ISA bus.  The only difference between 8 and 16-bit ISA bus is that an extra connector is attached behind the 8-bit connector. 16-b

How to create a layout table in dreamweaver, Q. How to Create a Layout Tabl...

Q. How to Create a Layout Table in dreamweaver? In last section you used cells to create a table. Now, you will see how to start with a table and add cells later. 1.  In Obj

Efficiency of vector processing over scalar processing, Efficiency of Vecto...

Efficiency of Vector Processing over Scalar Processing: We know that, a sequential computer processes scalar operands one at a time. Thus, if we have to process a vector of len

What do you mean by complexity of an algorithm, What do you mean by complex...

What do you mean by complexity of an algorithm? The term complexity is used to define the performance of an algorithm. Typically performance is calculated in terms of time or s

How do the registers help in instruction execution, Q. How do the registers...

Q. How do the registers help in instruction execution? We will discuss this in following steps: Step 1: First step of instruction execution is to fetch instruction which

Describe collective communications, Q. Collective Communications? A num...

Q. Collective Communications? A number of message-passing systems allow communication involving more than two processors. Such type of communication can be known as collective

Explain about programmable logic array, Q. Explain about Programmable Logic...

Q. Explain about Programmable Logic Array? Until now individual gates are considered as fundamental building blocks from that different logic functions can be derived. With the

C program, a c program to implement multiple stack in a single array

a c program to implement multiple stack in a single array

What is the main function of an assembly, What is the main function of an a...

What is the main function of an assembly It contains code that the common language runtime implements. Microsoft intermediate language (MSIL) code in a portable executable (PE

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