## TOOL: COMPLEMENT OF A FUNCTION CALCULATOR

#### COMPLEMENT OF A FUNCTION CALCULATOR

Enter a Boolean Expression.

The complement of F = A(B+C') is:

F' = A'+B'C

SOLUTION STEPS

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

= A'+(B+C')'

= A'+B'C

Copied to clipboard
Copy Text

## INFORMATION

To find the complement of a logic expression, we repeatedly apply the DeMorgan's Law. According to the DeMorgan's Law

• (x + y)'= x'y' and
• (xy)'= x' + y'

## 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 COMPLEMENT OF A FUNCTION CALCULATOR?

Complement of a function calculator,

• Finds the complement of an entered Boolean function and
• Explains how that result is reached step by step.

### HOW TO USE THE COMPLEMENT OF A FUNCTION CALCULATOR?

You can use the complement of function calculator in two ways.

• #### USER INPUTS

You can enter a Boolean expression to the input box and click on the "COMPLEMENT" 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.

• #### CLEARING THE INPUT BOX

To find the complement of 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.