[SOLVED] ECE8813A Homework1

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PROBLEM 1.1:
Write the truth table for the following gates:

(a) AND (b) OR

(c) NOR

(d) NAND (e) XOR (f) XNOR

PROBLEM 1.2:
Define De Morgan’s law and show how it would be used to simplify the following Boolean equation.

Y =A+AB+AB+A+B (1)

PROBLEM 1.3:
Given the following Truth Table that represents a 16QAM signal.

I Q -3 -3 -3 -1 -3 1 -3 3 -1 -3 -1 -1 -1 1 -1 3

Symbol I Q Symbol 0000 1-3 1100 0001 1-1 1101 0011 11 1111 0010 13 1110 0100 3-3 1000 0101 3-1 1001 0111 31 1011 0110 33 1010

Find:

  1. (a)  The Boolean Equation for each bit of the Symbol using a Karnaugh Map.
  2. (b)  Create a schematic of digital gates to represent the Boolean Equation. Label each gate and each wire.
  3. (c)  Implement the schematic in Verilog using Altera’s Schematic Entry tool
  4. (d)  Program the schematic in Verilog using a text based tool.
  • HW1-xmqqro.zip