## TOOL: NAND GATE LEARNING TOOL

#### NAND GATE LEARNING TOOL

Click on an input or a row on the truth table to change the input values.

F = (x . y)'

= x' + y'

= 1' + 0'

= 0 + 1

= 1

## INFORMATION

A NAND gate performs the logical complement of an AND gate. If the inputs are denoted as x and y, the output of a NAND gate is (x . y)'. According to the De Morgan's Law, the expression (x . y)' can be written as x' + y'.

For a NAND gate, when all inputs are logic-1, the output is logic-0. In all other cases, the output is logic-1.

The truth table for a two-input NAND gate is as follows:

In this table, x and y represent the inputs and F represents the output. Each row in the table indicates the corresponding output value based on the values of inputs in that row. For example, the first row indicates that F = 1 for x = 0 and y = 0.

In logic, the NAND operation is represented by the "⊼" or "↑" symbol.

### WHAT IS NAND GATE LEARNING TOOL?

NAND gate learning tool,

• Allows the user to select the input values for a 2-input, 3-input or 4-input NAND gate,
• Illustrates the output on the circuit symbol and the truth table.

### HOW TO USE THE NAND GATE LEARNING TOOL?

You can select the input values yourself or set them randomly.

• #### USER INPUTS

To toggle the input values between 1 and 0, click on the inputs.

Or click on any row on the truth table to set the input values.

ALL = 0 and ALL = 1 buttons reset and set all input values, respectively.

• #### RANDOM INPUTS

The DIE ICON generates a random set of values for the inputs.

• #### SELECTING THE NUMBER OF INPUTS

2, 3, and 4 input NAND gates are available.