## TOOL: KARNAUGH MAP SOLVER FOR FUNCTIONS (PRODUCT OF SUMS FORM)

#### KARNAUGH MAP SOLVER FOR FUNCTIONS (PRODUCT OF SUMS)

Enter a Boolean Expression.

F = (B + D')(C + D')(A + B' + C)

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The calculator above gives the simplified function in product of sums form. If you are looking for the Sum of Products solution, please click here.

## INFORMATION

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.

## INPUT FORMAT

VARIABLES: Use letters such as A, B, C, x, y, z to represent the variables.

COMPLEMENT: To denote the complement of a variable or term, use the ' symbol to the right. For example, x' means "complement of x"; (x + y)' means "complement of x + y".

AND: There are three alternatives for representing the AND operation. You can use either the . or * symbol between variables. Furthermore, placing variables next to each other implies they are being ANDed. For instance, x.y, x*y, and xy all signify "x AND y".

OR: For OR operation use + symbol. For example, x + y means "x OR y".

### WHAT IS KARNAUGH MAP SOLVER FOR FUNCTIONS?

Karnaugh map solver for functions,

• Constructs a Karnaugh map for the entered function,
• Indicates the groups in different colors and
• Finds the simplified expression in product of sums form.

### HOW TO USE THE KARNAUGH MAP SOLVER FOR FUNCTIONS (POS)?

You can use the Karnaugh map solver for functions in two ways.

• #### USER INPUTS

You can enter a Boolean expression 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 random Boolean function is generated and entered to the calculator, automatically. You can see the result and explanations 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 the number of variables used in the entered expression. However, some functions may not include all variables in the expression. For example, F(A,B,C,D) = BD has four variables but in the expression we see only two of them. For those cases, you can write the expression BD to the input box and select four variables manually by clicking on the corresponding radio button under the input box.

• #### CLEARING THE INPUT BOX

To simplify some other Boolean functions you can clear the input box by clicking on the CLEAR button under the input box.

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