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 is load testing, Load testing is to test that if the application works...

Load testing is to test that if the application works well with the loads that result from large number of concurrent users, transactions and to verify whether it can handle peak u

Asp.net, in asp project is i have to crate database every time when i move ...

in asp project is i have to crate database every time when i move my project on different server

What is verilog case 1, What is verilog case (1) ? wire [3:0] x; al...

What is verilog case (1) ? wire [3:0] x; always @(...) begin case (1'b1) x[0]: SOMETHING1; x[1]: SOMETHING2; x[2]: SOMETHING3; x[3]: SOMETHING4; endcase

Explain time slot interchange, Discuss the basic structure and principle of...

Discuss the basic structure and principle of operation of Time Slot Interchange (TSI) switch with the help of a neat diagram. Principle of time slot interchange Time

Support activities in supply chain management, What are the some support ac...

What are the some support activities in primary functions of Supply Chain Management? To support primary functions of Supply Chain Management there will be a company’s infrastr

What is a subroutine, What is a subroutine? A subroutine is a named, in...

What is a subroutine? A subroutine is a named, independent section of C code that performs a particular task and optionally returns a value to the calling program.

Cso, why we don''t use register at the place of ram?

why we don''t use register at the place of ram?

Draw the logic circuit using NOR gates using K-map, Draw the logic circuit ...

Draw the logic circuit using minimizaed equation by K-map for the simplified function using NOR gates only. F (A, B, C, D) = Π M (1, 2, 3, 8, 9, 10, 11,14) ⋅ d (7, 15) Ans

Illustrate the full form of ooa, Illustrate the Full form of OOA OOA vi...

Illustrate the Full form of OOA OOA views the world as objects consist of data structures and events that trigger operations and behaviours, for object behaviour changes. The b

Differentiate between static and dynamic memory, Differentiate between stat...

Differentiate between static and dynamic memory? The static RAM is simpler to use and has shorter read and write cycles. One of the main applications of static RAM is in execut

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages