sol1 - CIS 540 Principles of Embedded Computation Homework...

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CIS 540: Principles of Embedded Computation Homework 1 Solution, Spring 2013 Problem 1 Solution: From condition (1) we know that the events inc and dec should not appear simultaneously in a given round. So the possible outputs are: only inc! , only dec! , or no events present, and can be modeled as a single-mode extended- state-machine with 3 self-transitions. From condition (2) we know that the event dec should not appear in two consecutive rounds. We can use a boolean internal state variable x to remember whether dec was issued in the previous round. The event dec is issued only when the condition x=0 holds (meaning dec was absent in the last round). The state x is set to 1 when outputting dec! and 0 otherwise. The resulting component CounterEnv is shown in Fig. 1. Fig. 1. CounterEnv Problem 2 Solution: Since the component needs to output the sum of inputs from all the previous rounds, there must be an internal state tracking the sum of inputs.
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