LED Dice Logic Gates Diagrams

LED Dice

Our aim is to create an LED Dice using a breadboard and 7 LEDs disposed as follows:

We will then use three buttons/switches to control the 7 LEDs of the dice to recreate the following patterns:

Octal Number System

The octal numeral system, or oct for short, is the base-8 number system. It uses 8 digits from 0 to 7. Octal numerals can be converted into binary using 3 binary digits and the following conversion table.

We will use three input buttons A,B,C representing the 3 binary digits to generate 8 binary patterns representing the 8 octal digits from 0 to 7.

We will then use logic gates circuits to control each of the 7 LED based on the three inputs:

LED Dice: Truth Tables & Karnaugh Maps

We will use three inputs A,B and C to represent the three digits as ABC (A is the most significant digit, C is the least significant digit). When creating the electronic circuit we will use 3 switches to represent these 3 inputs.

We will need 7 outputs one for each LED. So let’s investigate each LED one at a time.

LED Dice: Boolean Expressions

The Karnaugh maps will help us define the Boolean Expressions associated with each of the 7 LEDs.

LED Dice: Logic Gates Diagrams

We can now convert each Boolean expression into a Logic Gates circuit to link our 3 inputs (switches) to our 7 LEDs display using a range of logic gates.

Testing

You can now recreate your logic gates circuit using our logic gates circuit simulator to test if it behaves as expected for all 8 entries.

You can also recreate the electronic circuit using bread boards, LEDs, resistors and logic gates or create your electronic cricuit online using tinkercad.