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

Write a program that finds the minimum total number of shelv, Write a progr...

Write a program that finds the minimum total number of shelv, C/C++ Programming

Identify state as shifting register content to left by 1 bit, Shifting a re...

Shifting a register content to left by one bit position is equivalent to ? Ans. Multiplication by two is equivalent while shifting register content to left by one bit position.

Functionality of hypethread processor, Hyper-threading works by duplicating...

Hyper-threading works by duplicating those parts of processor which store architectural state but not duplicating main execution resources. This permits a Hyper-threading equipped

Describe the instruction set architecture, Q. Describe the instruction set ...

Q. Describe the instruction set architecture? The significant role of the Central Processing Unit (CPU) is to perform calculations, to coordinate all other hardware components,

Address - operand data types, Q. Address - operand data types? A...

Q. Address - operand data types? Addresses : Operands residing in memory are specified by their memory address while operands residing in registers are specified by a re

Input-output-processor interconnection network (iopin), Input-Output-Proces...

Input-Output-Processor Interconnection Network (IOPIN): This interconnection network is designed for communication between I/O Channels and processors. Every single one proces

Explain the term internet, Explain the term Internet. Internet: ...

Explain the term Internet. Internet: The Internet, an umbrella term covering countless network and services that comprise a super-network, is a global network of compute

How video effects alters a video, Question : (a) What are the main aspe...

Question : (a) What are the main aspects that should be considered when dealing with green screen? (b) Explain clearly how these video effects alters a video using an illust

Illustrate code segment with example, CODE SEGMENT ; Set DS register ...

CODE SEGMENT ; Set DS register MOV AX, DATA ; boiler plate code to set the DS register so that the MOV DS, AX ; program can access the data segment.

Specifying optimisation criteria of describe function, Specifying Optimisat...

Specifying Optimisation Criteria Specify values to be minimized, maximized or optimized. You can understand it as way you normalize data in database. For instance, you should

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages