Homework 4 ECE 252 Spring 2008

Homework 4 ECE 252 Spring 2008 - Homework 4 ECE 252 Spring...

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Homework 4 ECE 252 Spring 2008 Primary contact for this homework: Spyros Blanas [sblanas at cs dot wisc dot edu] You must do this homework alone. Please staple multiple pages together. Make sure to include your name and your section. Problem 1 One of the fundamental units of all processors is the unit which can handle simple arithmetic. For this problem, assume that you have a 1-digit full adder, a multiplexer, a decoder and all basic gates, all of which work as described in the class. a. Design an arithmetic unit which takes two 4-bit numbers in 2's complement representation, named A and B and a 1-bit "operation" flag O and produces the 4-bit result. If the O=0 then the output is A+B. If O=1 then the output becomes A-B. b. Extend your design by adding an overflow signal OVF which is 1 if and only if an arithmetic overflow occurs. Problem 2 Assume that at a pedestrian crossing the traffic light works in the following way: Green to vehicles, red to pedestrians for 20 seconds. Amber to vehicles, red to pedestrians for 5 seconds. Red to vehicles, green to pedestrians for 10 seconds. Red to vehicles and pedestrians for 5 seconds. The traffic light is controlled by a 5-bit value, which can be interpreted as follows: Bit Description 4 (MSB) Vehicle red light is on. 3 Vehicle amber light is on. 2 Vehicle green light is on. 1 Pedestrian red light is on. 0 (LSB) Pedestrian green light is on. (For example, using this representation, the value which turns all the red lights on is 10010.)
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a. Create the finite state machine which will control this traffic light if each clock cycle is 5 seconds. Show the output at each state. b. Add a pedestrian button which changes the traffic light to amber in the
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Homework 4 ECE 252 Spring 2008 - Homework 4 ECE 252 Spring...

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