EGR240Lab1 prelab PDF

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Prelab 1...

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Name: ______________________________ EGR 240 Lab 1-Pre-lab EXPERIMENT: SIMPLE DIGITAL DESIGN AND TTL Chips. References Introduction to Digital Design Using Digilent FPGA Boards: Appendix C - Basic Logic Gates. Appendix D - Boolean Algebra PRE-LAB You will be using transistor-to-transistor logic (TTL) chips in this lab and in Lab 2. To become familiar with the chips, you will be wiring and testing simple digital circuits. 1. Truth Tables and Boolean equations. a. Using NOT (~) and OR (|), write the Boolean equation and truth table for the NAND function. Table 1: NAND Truth Table

NAND Boolean Equation: __________________

X 0 0 1 1

Y 0 1 0 1

A

b. Using NOT (~), AND (&), and OR (|), write the Boolean equation and truth table for the XNOR function. Table 2: XNOR Truth Table

XNOR Boolean Equation: ____________________

X 0 0 1 1

Y 0 1 0 1

B

c. Using NOT(~), AND (&), and OR (|), write the non-simplified sum-of-products Boolean equation for the truth table given in Table 3 below. Table 3: Advanced Circuit

X 0 0 1 1

Y 0 1 0 1

C 1 1 0 1

Advanced Circuit Boolean Equation: __________________

1

2. Simplification: The chips you will use are the 74LS04 (invertor), 74LS08 (2-input AND), and the 74LS32 (2-input OR). While it is possible to construct a multiple input AND or OR function using 2-input gates, we will not to do so for this lab. Simplify the solution to problem 1.c using the Venn diagram below. Your final answer should only require 2-input gates.

X

Y

Advanced Circuit Simplified Boolean Equation: _________________

3. Implementation: The pinout for each of the chips is provided below. Using straight line segments and being as legible as possible, show how you plan to wire the circuits that will produce outputs A, B, and simplified C. Use dots to represent connections of overlapped wires. X

Y

4. Floating inputs: If you leave an input to a gate disconnected, it will eventually take on (float to) a Boolean value. Ideally, the gate will continue to function properly based on its connected input. What value should a disconnected input float to in-order to ensure functionality for an: a. AND gate: b. OR gate: Turn in this completed handout at the beginning of your lab. 2...