ECE354 hw1 - sol

# ECE354 hw1 sol - NEW JERSEY INSTITUTE OF TECHNOLOGY DEPT OF ELECTRICAL COMPUTER ENGINEERING ACADEMIC YEAR 2008-2009 SEMESTER 2 ECE354 SOLUTION 1 We

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NEW JERSEY INSTITUTE OF TECHNOLOGY ACADEMIC YEAR 2008-2009 SEMESTER 2 ECE354 DIGITAL DESIGN S OLUTION HW1 1. We first find the fault-free function: A B C D F AB CD D B + CD AB ) ( D B CD + Fig. 1. Computation of the fault-free function CD B A D B B A CD D B AB CD CD CD D B CD CD AB D B CD CD AB F + + = + + + = + + + = + + = + + = ) )( ( ) ( We inject A =0 into F in order to compute F *: 1 * = F Since * F F , A /0 is detectable. For 1111 1 = t : F =1; F *=1; therefore 1111 1 = t is not a test for this fault. For 1100 2 = t : F =0; F *=1; therefore 1100 2 = t is a test for this fault. 2. To compute F * for the fault g /0 we use the circuit: "0" 0 CD D B + ) ( D B CD + A B C D k m n g h F* Fig. 2. Injection of g /0 to compute F * 1

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F D B CD D B CD F + = + = ) ( * Therefore, g /0 is detectable. For 0000 1 = t : F =1; F *=1; therefore 0000 1 = t is not a test for this fault. For
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## This note was uploaded on 02/18/2010 for the course ECET 354 taught by Professor Sa during the Spring '07 term at NJIT.

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ECE354 hw1 sol - NEW JERSEY INSTITUTE OF TECHNOLOGY DEPT OF ELECTRICAL COMPUTER ENGINEERING ACADEMIC YEAR 2008-2009 SEMESTER 2 ECE354 SOLUTION 1 We

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