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

What is processor, processor, computer science

processor, computer science

Tag do you use to add a hyperlink column to the DataGrid, What tag do you u...

What tag do you use to add a hyperlink column to the DataGrid? Anchor tag is used to add a hyperlink column to the data grid

What is the use of status command, What is the use of status command, data ...

What is the use of status command, data output command, and data input command. A status command is used to test a variety of status conditions in the interface and the periphe

Determine the values of the output of the logic gates, Write the values of ...

Write the values of the C output for the following gates: For a(n) ________ gate, the output is zero if any of the inputs are equal to one. For a(n) ________ gate ,the

Why array index starts from zero, This boils down to the concept of Binary ...

This boils down to the concept of Binary digits. Take an array size of 64 for example. We begin from 0 and end at 63. We need 6 bits.But, if we were to begin from 1 and end at 64,

Illustrate control and timing signals, Q. Illustrate control and timing sig...

Q. Illustrate control and timing signals? The requirement of I/O from different I/O devices by processor is quite unpredictable. In fact it relies on I/O needs of particular pr

What is pli, What is PLI Programming Language Interface (PLI) of V...

What is PLI Programming Language Interface (PLI) of Verilog HDL is a mechanism to interface Verilog programs with programs written in C language. It also pro

C-programing, c-program for the minimum total number of shelves

c-program for the minimum total number of shelves

Explain the types of hardware used in supermarkets, Explain the types of ha...

Explain the types of hardware used in supermarkets These use many types of specialist I/O hardware. For instance: - Bar code readers/scanners (to read product details and e

Design a logic circuit, Ask questDesign a logic circuit with 4 inputs A, B,...

Ask questDesign a logic circuit with 4 inputs A, B, C & D that will produce output ‘1’ only whenever two adjacent input variables are 1’s. A & D are also to be treated as adjacent,

Write Your Message!

Name

Email id

Message

Verfication Code

User Account

All Pages