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Quiz 3 Solution - ECE-C490 Security in Computing Winter...

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ECE-C490 Security in Computing Winter Term 2005 Quiz #3 Solutions Consider the circuit below. Compute a parity prediction function for this circuit and implement the function in circuit form so that concurrent testing can be used. You may use even or odd parity, but you must specify which you choose or you will lose points! We begin by generating a truth table for the circuit. Note that “OR1” refers to the OR gate with inputs (a, b); “AND1” refers to the AND gate with inputs (b, c); and “OR2” refers to the OR gate with inputs (a, c). A B C OR1 AND1 OR1 F1 F2 F3 Even parity Odd parity 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 0 1 0 1 1 0 1 0 1 0 1 0 0 0 0 0 0 1 0 1 1 1 1 1 1 0 0 1 0 1 0 0 1 0 1 0 1 0 1 0 1 0 1 1 0 1 0 1 0 1 0 1 1 0 1 0 1 0 1 0 1 0 1 1 1 1 1 1 1 0 0 1 0 The even parity bit is generated as follows: for a given input set, count the number of 1s that appear in the output. If that number is odd, set the parity bit to 1 so that the total number of 1s in the output and parity bit is even. Else, set it to 0. Example:
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