BOOLR Digital Logic Simulator | Exclusive-OR implementation using AND-OR-NOT gates

juecoree(72)

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#utopian-io

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585

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3 min

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~4 min

What is Exclusive-OR?

Exclusive-OR is a digital logic gate that gives a true (1 or HIGH) output when the number of true inputs is odd. An XOR gate implements an exclusive or; that is, a true output results if one, and only one, of the inputs to the gate is true. If both inputs are false (0/LOW) or both are true, a false output results.
In the last tutorials, we use XOR or as the primary gates for adder and subtractor. Now in this tutorial, we will examine how this logical operation is implemented using the basic logic gates-AND, OR and NOT.

Intended Learning Outcome (What Will I Learn?)

After reading and participating in this tutorial, the readers should be able to:

learn how to implement an Exclusive -OR logic circuit with the aid of simulation;
create a digital logic circuit for Exclusive -OR simulation ; and,
simulate the created Exclusive -OR simulation digital logic circuit.

Requirements

To be able to follow this tutorial, you should have the following tools at hand:

A desktop PC or laptop with Windows (7, 8, 10) operating system; and,
A BOOLR latest release version which you can download at its Github repository GGBRW/BOOLR or vist its website at boolr.me

Difficulty

Intermediate

Part 1: Setting up a new project the BOOLR app.

1 | Open BOOLR.exe from the downloaded latest release zip file of the app.

2 | Create a new project by clicking NEW BOARD.

Then, you will be directed to Create New Board where you are ask to type in the name of the new board.

Type in the board name. For this tutorial, lets have " Exclusive -OR " as board name.

3 | Click to finalize setting up a new project.

For the basic operations and functions of the BOOLR Digital Logic Simulation, you are advise to read the Introduction to BOOLR.

Part 2: Creating a Exclusive-OR Digital Logic Circuit in BOOLR

Now, we create a circuit in the BOOLR for Exclusive-OR which is implemented using AND-OR-NOT gates.

1 | We start by selecting components needed in the simulation. Select NOT gate by clicking . Add the two sets of NOT gate in the worksheet, simply click at where you want the to add the component.

2 | Add AND gate by clicking . Place two AND gates after the NOT gates. Make sure that the NOT gate is not connected directly to the AND gates.

4 | Add OR gates after the AND gates.

5 | Select input devices from . From the menu click on INPUT.

6 | Add set of input before the NOT gate.

7 | Add output after the OR gate. To add the component, you need first to enable and click at the location where you want it to add.

8 | Connect input to A to NOT(a) and AND(a) terminal.

9 | Connect input to B to NOT(b) and AND(b) terminal.

10 | Connect the NOT(a) to AND(b). This will set an inverse input A to the AND gate.

11 | Connect the NOT(b) to AND(a). This will set an inverse input B to the AND gate.

12 | Connect remaining terminal to output.

Part 3: Simulation of the created FULL ADDER logic gate

How does Exclusive-OR works?
Exclusive-OR is a logical circuit that operates in a way that a high(1) values output is achieved when the one of the input is high(1); but not both inputs are high (1). The circuit is composed of: two conventional NOT gate configured in such way that the AND gates will depend on the inverse of the input values; an AND gate that used to isolate a high output when both inputs are high(1); and, OR gate used to determine the exclusivity of the input A and B by detecting a high (1) value for the inputs having one high (1) value.

How does Exclusive-OR works?

Exclusive-OR is a logical circuit that operates in a way that a high(1) values output is achieved when the one of the input is high(1); but not both inputs are high (1). The circuit is composed of: two conventional NOT gate configured in such way that the AND gates will depend on the inverse of the input values; an AND gate that used to isolate a high output when both inputs are high(1); and, OR gate used to determine the exclusivity of the input A and B by detecting a high (1) value for the inputs having one high (1) value.

1 |Verify the simulation button if it is play or paused. Pause button indicates simulation is going on, while Play button signifies the simulation is paused.By default, the BOOLR app is always on simulation.

2 | Verifying our discussion earlier, input the values. Observe the result at the OUTPUT. To change the values of input, click on the number inside the input symbol.