ECE 290_ LAB #5 - Mallard ECE 290: Computer Engineering I -...

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Mallard ECE 290: Computer Engineering I - Spring 2007 - ECE 290: L. .. https://mallard.cites.uiuc.edu/ECE290/material.cgi?SessionID=mding3_. .. 1 of 4 4/20/2007 4:01 AM ECE 290: LAB #5 (due March 16, 3 pm) LAB 5: Design of a Sequential Circuit 1 Introduction The state diagram of Figure 1 below implements a divide-by-six circuit for unsigned binary numbers. The circuit works as follows: Suppose the input sequence X = 10011 2 = 19 10 is applied over time beginning with the leftmost 1, starting at state 000. The output sequence Z = 00011 2 = 3 10 represents the quotient of 18 ÷ 6 and the final state = 001 2 = 1 10 represents the remainder. Now suppose that after the above calculation of 19 ÷ 6 another 1 is entered on the input line. Remember that the circuit was already in state = 001. Now the overall input is X = 100111 2 = 39 10 . The overall output sequence Z = 000110 2 = 6 10 again represents the quotient, this time for the division 39 ÷ 6, and the final state 011 2 = 3 10 again is the remainder. Before coming to lab you should design the logic circuit for the above state diagram using three JK flip-flops to represent the state variables Q A , Q B , and Q C . Use don't cares as necessary. To get complemented state variables (if needed), use the complemented outputs of the flip-flops, not inverters. You must show all of your work on the worksheet at the end of this lab. Double check your Karnaugh maps and expressions before you start entering your circuit !!! In your ece290 work directory, create a new subdirectory, lab5 , for this lab. When you open HDL Designer, create a new Library Mapping called LAB5 with this directory as the root. Fill in the title block as usual. The JK F/Fs that you will use are in the moduleware library, under the Registers category and are called jkff . An example of one is shown in Figure 2. Your design will have many gates and wires, so try to keep things neat, but it's unavoidable for your design to look a bit cluttered when you're done. In order to keep things straight, it's handy to add text to label each flip-flop input with its boolean expression. You can do this by using Add->Comment Text in the block diagram window. Also, if you need to use 0 or 1 as an input to a flip flop, use
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ECE 290_ LAB #5 - Mallard ECE 290: Computer Engineering I -...

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