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

Command mode to insertion mode using vi editor, How to enter from command m...

How to enter from command mode to insertion mode using Vi Editor? Ans) There are various commands that put the VI editor into insert mode. The most usually used commands to get

Speed up factor, Remember, the value of α is between 0 and 1. Now, let us p...

Remember, the value of α is between 0 and 1. Now, let us put some values of α and compute the speed up factor for increasing values of number of processors. We get that the S(N) k

Parallel edge or self loop of the total number of edges, A graph with n ver...

A graph with n vertices will definitely have a parallel edge or self loop of the total number of edges are More than n(n-1)/2

Concept of pipelining, Describe the concept of pipelining. Ans: Pipeli...

Describe the concept of pipelining. Ans: Pipelining is the means of executing machine instructions concurrently. This is the effective way of organizing concurrent activity in

Episodes - artificial intelligence , Episodes - artificial intelligence: ...

Episodes - artificial intelligence: If an agent's current choice of action not based on its past reactions, then the environment is known as episodic. In the non-episodic envi

Register transfer micro-operations, Register Transfer Micro-operations ...

Register Transfer Micro-operations These micro-operations as the name proposes transfer information from one register to another. The information doesn't change during these mi

Carry look-ahead adder and booth''s algorithm, Describe carry look-ahead ad...

Describe carry look-ahead adder? Ans: The input carry required by a stage is directly computed from carry signals obtained from all of the preceding stages i-1,i-2,.....0, rat

Multi-operating systems, The assignment enhances the acquisition of new kno...

The assignment enhances the acquisition of new knowledge through reading, research and practical work in class and at home. It requires critical thinking applied to real life tasks

Printers, Printers are devices which put ink on paper in a controlled manne...

Printers are devices which put ink on paper in a controlled manner. They manually produce photographic images orreadable text. Printers have gone through a large transition in tech

Enumerate the design reusability of vhdl, Enumerate the Design reusability ...

Enumerate the Design reusability of VHDL VHDL. Functions and Procedures may be placed in a package so that they are available to any design-unit which wishes t

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages