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

Knowledge representation in artificial intelligence , Knowledge Representat...

Knowledge Representation: To recap, now we have some characterizations of Artificial Intelligence, so when an Artificial Intelligence problem arises, you will enable to put i

Explain the term- intranet, Explain the term- Intranets Various compani...

Explain the term- Intranets Various companies use intranets as well as the internet. Simple definition is "An intranet is a computer network which is based on internet technolo

What is a word line, What is a word line? In a memory cell, all the cel...

What is a word line? In a memory cell, all the cells of a row are linked to a common line called as word line

Minimis logic function using K-map, Minimise the logic function F (A, B, C,...

Minimise the logic function F (A, B, C, D) = Π M (1, 2, 3, 8, 9, 10, 11,14) ⋅ d (7, 15) Use Karnaugh map. Ans. Given function F=∏M(1,2,3,8,9,10,11,14).d(7, 15) F'=B'D+B'C+AC+AB'

Develop system flow charts - nasa near earth object, Background Information...

Background Information The National Aeronautics and Space Administration (NASA) is the agency within the United States Government responsible for US space exploration. Within th

Define clock rate, Define clock rate? The clock rate is given by, R=1/P...

Define clock rate? The clock rate is given by, R=1/P, where P is the length of single clock cycle.

Explain the page stealer and the fault handler, How the Kernel handles both...

How the Kernel handles both the page stealer and the fault handler? The page stealer and the fault handler thrash because of the shortage of the memory. If the sum of the worki

Illustrate about system memory-management mode, Memory - management mode ...

Memory - management mode System memory-management mode (SMM) is on the same level as protected mode, real mode and virtual mode though it is provided to function as a manager

Big – endian and little- endian representations, Explain Big - Endian and L...

Explain Big - Endian and Little- Endian representations Ans: The Big- endian is used where lower byte addresses are used for the more significant bytes (leftmost bytes) of the

How to clear computer motherboard cmos password, As CMOS is a special chip ...

As CMOS is a special chip with its own battery, the best way to clear out a CMOS chip is to cut off it from its power supply. To clear the CMOS password you just take away the

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages