## TOOL: KARNAUGH MAP SOLVER FOR MAXTERMS (SUM OF PRODUCTS FORM)

#### KARNAUGH MAP SOLVER FOR MAXTERMS

Enter the maxterm numbers.

F=

F = B'C' + C'D' + AB' + AD

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The calculator above gives the simplified function in sum of products form. If you are looking for the Product of Sums solution, please click here.

## INFORMATION

Karnaugh Maps

Karnaugh maps, also known as K-maps, are a graphical method used to simplify Boolean algebra expressions. They provide a systematic way to minimize Boolean functions and are particularly useful for simplifying expressions with up to five variables.

Karnaugh maps represent Boolean functions graphically in a tabular form. Each cell in the table corresponds to a unique combination of input variables.

The main technique used with Karnaugh maps is grouping adjacent cells with the value 1 to identify patterns that can be combined to simplify the expression.

Karnaugh maps are widely used in digital logic design, especially in the design of combinational logic circuits. They help engineers optimize circuits for speed, area, and power consumption.

Karnaugh maps provide a visual and systematic approach to simplifying Boolean expressions, making them an essential tool in digital logic design.

Maxterms

The maxterm numbers specify the positions of zeros in the truth table. Each maxterm number corresponds to the decimal equivalent of the binary expression on the left side of the truth table. For example, let's consider a 3-variable function with maximum terms of 0, 3, and 6. The binary equivalents of 0, 3, and 6 are respectively 000, 011, and 110. This tells us that in the truth table, the rows corresponding to 000, 011, and 110 have a value of 0, while others have a value of 1.

Obtaining the Karnaugh Map from the Maxterms

Each square on the Karnaugh map has a number. This number, like in maximum terms, indicates the position of the value in the truth table. Before starting the solution, we leave the corresponding place on the Karnaugh map blank for each maximum term and write 1s in the remaining places.

Sum of Products Output

When the 1's in the Karnaugh map are grouped in rectangular regions with sidelengths of 1, 2 or 4, the result is obtained in the form of the sum of products. This calculation tool also provides the result in the form of the sum of products.

## INPUT FORMAT

Enter the maxterms separated by commas or spaces.

### WHAT IS KARNAUGH MAP SOLVER FOR MAXTERMS?

Karnaugh map solver for maxterms,

• Constructs a Karnaugh map based on the entered maxterm numbers,
• Indicates the groups in different colors and
• Finds the simplified expression in sum of products form.

### HOW TO USE THE KARNAUGH MAP SOLVER FOR MAXTERMS (SOP)?

Karnaugh map solver for maxterms can be used in two ways.

• #### USER INPUTS

You can enter the maxterm numbers to the input box and click on the "SOLVE" button. The result and explanations appaer below the calculator.

• #### RANDOM INPUTS

You can click on the DIE ICON next to the input box. If you use this property, a set of maxterm numbers are generated and entered to the calculator, automatically. The result and explanations appaer below the calculator. You can create your own examples and practice using this property.

• #### SELECTING THE NUMBER OF VARIABLES

The number of variables are automatically set to a number based on the entered maxterms. You can select the number of variables manually by clicking on the corresponding radio button under the input box.

• #### CLEARING THE INPUT BOX

To find the simplified functions corresponding to the entered maxterms, you can clear the input box by clicking on the CLEAR button.

• You can copy the generated solution by clicking on the "Copy Text" link, appaers under the solution panel.