Simplify the expression by using karnaugh map, Computer Engineering

Assignment Help:

Simplify the following expression into sum of products using Karnaugh map

F(A, B, C, D) = ∑ (1,3,4,5,6,7,9,12,13)

Ans. Simplification of the given expression in sum of products using Karnaugh Map is shown below:

F(A,B,C,D) = Σ (1,3,4,5,6,7,9,12,13)

Karnaugh Map for F(A,B,C,D) = Σ (1,3,4,5,6,7,9,12,13) is demonstrated in figure (a). In this figure the grouping of cells is also shown.

819_Simplify the expression into sum of products using Karnaugh map.png

So the equations for (1) is A‾ B; and for (2) is C‾ D; for (3) is A‾ D; for (4) is B C‾

Thus, the Simplified Expression for the Karnaugh map as
F(A,B,C,D) = A‾ B+ C‾ D+ A‾ D+B C‾
= A‾ (B + D) + C‾ ( B + D)

Related Discussions:- Simplify the expression by using karnaugh map

List the key notions concerning macro expansion, List the key notions conce...

List the key notions concerning macro expansion. Two key notions relating to macro expansion is: 1. Expansion time control flow- Determines the order of model statements tha

Pci bus transactions - computer architecture, PCI bus transactions: PC...

PCI bus transactions: PCI bus traffic is prepared of a series of PCI bus transactions. Each transaction is build up of an address phase that is followed by 1 or more data phas

Rcr, how to rotate shift right

how to rotate shift right

Define word length, Define word length? Every group of n bits is refer...

Define word length? Every group of n bits is referred to as a word of information and n is known as the word length.

Timing in mpi program, Q. Timing in MPI program? MPI_Wtime ( ) returns ...

Q. Timing in MPI program? MPI_Wtime ( ) returns lapsed wall clock time in seconds because some random point in past. Elapsed time for program section is given by difference bet

Why cyclomatic complexity is important, Why cyclomatic complexity is import...

Why cyclomatic complexity is important? Cyclomatic complexity is computed using a graph that verifies the control flow of the program. The nodes of the graph correspond to the

Define smtp, SMTP Simple Mail Transfer Protocol, a protocol for sending...

SMTP Simple Mail Transfer Protocol, a protocol for sending e-mail messages among servers. Most e-mail systems that send mail over the Internet use SMTP to send messages from si

One of the fault base testing techniques, One of the fault base testing tec...

One of the fault base testing techniques is:- Mutation testing is the fault base testing.

Explain non-pre-emptive algorithms, Explain non-pre-emptive algorithms? ...

Explain non-pre-emptive algorithms? Non preemptive algorithms: In this algorithm a job is provided to CPU for execution as long as the job is non-completed the CPU cannot

Define frequency division - application of flip flops, Define Frequency Div...

Define Frequency Division - Application of Flip Flop? When the pulse waveform is applied to the clock input of a J-K flip-flop that is connected to toggle, the Q output is a s

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages