ECE380-Lab 4 K-Maps Solved

In this lab you will use the Quartus II environment to download designs to programmable devices on the Altera DE1 board.  You will create several simple designs, using VHDL and schematic entry, which will be downloaded to the Altera DE1 board.  

 

Please select “Cyclone V” as the device family and “5CSEMA5F31C6” as the device in the Family & Device Setting when creating your projects.  

 

During the lab session, you need to do the following:

 

 

1.     Use Quartus II to design the minimum SOP form of f(a,b,c,d) from the pre-lab; write VHDL.  Compile and simulate the file.  Print out the .vhd and .wav files.  Download the design to the Altera Cyclone® V DE1 FPGA board.  Use toggle switches SW[3 … 0] for the four inputs and LEDR[7] for the function output. Verify the design by testing all possible input valuations and observing the output f. Fill in the pre-lab data table column, f (min SOP), with the values that you get from the DE1 board. Receive TA’s initials after demonstrating this part of the lab.        

 

2.     Use Quartus II’s graphics editor to design the gate diagram for the minimum SOP form of f(a,b,c,d) from the pre-lab using only NAND gates. Compile and simulate the file.  Print out the .bdf and .wav files.  Download the design to the Altera Cyclone® V DE1 board.  Use toggle switches SW[3 … 0] for the four inputs and LEDR[7] for the function output. Verify the design by testing all possible input states from the truth table and observe the output, f. Fill in the pre-lab data table column output, f (NAND), with the values that you observed from the DE1 board. Receive TA’s initials after demonstrating this part of the lab.

 

3.     Use Quartus II to design the minimum POS form of g(a,b,c,d) from the pre-lab; write VHDL.  Compile and simulate the file.  Print out the vhd and wav files.  Download the design to the Altera Cyclone® V DE1 board.  Use toggle switches SW[3 … 0] for the four inputs and LEDR[7] for the function output. Verify the design by testing all possible input valuations and observing the output g. Fill in the pre-lab data table column, g (min POS), with the values that you get from the DE1 board.  Receive TA’s initials after demonstrating this part of the lab.

 

4.     Use Quartus II’s graphics editor to design a gate diagram for the minimum POS form of g(a,b,c,d) from the pre-lab using only NOR gates. Compile and simulate the file.  Print out the bdf and wav files.  Download the design to the Altera Cyclone® V DE1 board.  Use toggle switches SW[3 … 0] for the four inputs and LEDG[7] for the function output. Verify the design by testing all possible input valuations and observing the output g.   Fill in the data table column, g (NOR), with the values that you get from the DE1 board.  Receive TA’s initials after demonstrating this part of the lab.

 

5.     Make sure that you have printed out all of the files and received TA’s initials.

 

6.     Turn in the lab report one week from your lab session.

 

Homework
 

1) Prove the following statements using algebraic manipulation.  

 

a)  If 𝑠𝑠 =𝑥𝑥 ⨁𝑦𝑦 ⨁𝑐𝑐 , please prove 𝑐𝑐 =𝑥𝑥 ⨁𝑦𝑦 ⨁𝑠𝑠 .

 

b)  0⨁𝑥𝑥=𝑥𝑥

 

c)  1⨁𝑥𝑥=𝑥𝑥̅

 

d)  x⨁𝑥𝑥̅=1

 

 

 

 

2) Write the minimized SOP form for the following 6-variable K-Map:

 

f = ∑ m(0,1,2,3,8, 10,16,17, 18,19, 24, 26, 32,33,34,35,40, 42, 48, 50, 56, 58)