CSC347-ENS211- Lab 5: Single NAND/NOR Chip Implementation Solved

Introduction 
NAND and NOR are universal gates and are preferred over AND or OR gates in logic design and chip fabrication. In this lab, the student will design, minimize and implement logic function using single NAND/NOR chip, i.e., you only need one chip on the board to build a circuit. Minimizing the number of chips can increase circuit reliability and reduce power consumption and system size.

Components needed: note that 7402 chip has a different layout from 7400 chip.
       1 — 74HC00 Quad 2-input NAND gate                1 — 74HC02 Quad 2-input NOR gate

All NAND Gate Implementation
You are to build a circuit to implement the following function:

           F = AB + BC’

 

Derive the truth table for the function, and draw the logic diagram using AND, OR and NOT gates:
 

A B C
AB
BC’
F
0 0 0
0
0
0
0 0 1
0
0
0
0 1 0
0
1
1
0 1 1
0
0
0
1 0 0
0
0
0
1 0 1
0
0
0
1 1 0
1
1
1
1 1 1
1
0
1
 

Convert the circuit diagram to all NAND gates implementation.
Circuit construction on Tinkercad (DO NOT tear down the circuit after you finished this step.)
 

Based on the diagram in (b), build the circuit using one 7400 chip. DIP switches will be used to supply all three input logic levels A, B and C, and a LED will be used to provide the F output.

Make a copy of the starter kit from https://www.tinkercad.com/things/19XqriP2dMF and rename the copy as “Lab 5 Single Chip Implementation” on Tinkercad Circuits dashboard.
Connect the NAND gates according to the logic diagram from Step (b).
Connect the inputs (A, B, C) to three switches, and the output F to a LED.
Press “Start Simulation”.
Apply all eight combinations of logic LOW and HIGH levels to the three gate inputs using the DIP switches. Observe if the circuit outputs match the values in the truth table.
All NOR Gate Implementation
 

Rewrite the function as the Product of Sums format
 

F = AB + BC’ = B(A+C’)
Draw the logic diagram using AND, OR and NOT gates:
Convert the circuit diagram to all NOR gates implementation.
On Tinkercad, place a 7402 chip on the breadboard and build the circuit using the diagram (c). Note that 7402 chip has a different layout from 7400 chip.
Connect the NOR gates according to the logic diagram.
Connect the inputs (A, B, C) to three switches, and the output F to a LED.
Press “Start Simulation”.
Apply all eight combinations of logic LOW and HIGH levels to the three gate inputs using the DIP switches. Observe if the circuit outputs match the values in the truth table.
 

Homework: Draw the equivalent purely NAND/NOR gate representation of the function below and build the circuits on Tinkercad using NAND and NORchips, respectively. DO NOT simplify the function or change the fuction to sum-of-product or product-of-sum format!  In the lab report, include the logic diagram with NAND implementation, the diagram with NOR implementation, the Tinkercad screenshot and link.
 F = a(b + c) + bc’