ECE354 S'09 hw2 - sol

# ECE354 S'09 hw2 - sol - is a test for this fault. 4. Fig. 2...

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NEW JERSEY INSTITUTE OF TECHNOLOGY ACADEMIC YEAR 2008-2009 SEMESTER 2 ECE354 DIGITAL TEST S OLUTION HW2 1. Since the number of lines in the circuit is m =16, the number of faults in the single stuck-at fault model is 2 m =32. 2. Since the number of lines in the circuit is m =16, the number of faults in the multiple stuck-at fault model is 720 , 046 , 43 1 3 1 3 16 = - = - m . 3. We inject the multiple fault ) 0 / , 1 / , 0 / ( 10 8 1 g g g in the circuit and compute its F *: A B C D 1 g 2 g 3 g 4 g 5 g 6 g 7 g 8 g 9 g 10 g 11 g 0 1 0 F* Fig. 1. Injection of the multiple fault We have CD B A F D B D B F + + = = + = * (See HW#1). Therefore, the multiple fault ) 0 / , 1 / , 0 / ( 10 8 1 g g g is detectable. For ABCD =0011 we have: F =1, F* =0; therefore 0011 is a test for this fault. For ABCD =1001 we have: F =1, F *=0; therefore 1001

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Unformatted text preview: is a test for this fault. 4. Fig. 2 shows the propagation of this pattern. A B C D F 1 g 2 g 3 g 4 g 5 g 6 g 7 g 8 g 9 g 10 g 11 g 1 1 1 1 Fig. 2. Vector propagation for Pb. 4 The single stuck-at faults detected by this test are: { } / , / , / , / , / , 1 / , / , / , 1 / , 1 / , 1 / 1 2 6 5 9 8 11 10 B A g g g g g g g g F 5. Fig. 3 shows the propagation of this pattern. 1 A B C D F 1 g 2 g 3 g 4 g 5 g 6 g 7 g 8 g 9 g 10 g 11 g 1 1 1 1 Fig. 3. Vector propagation for Pb. 5 1 1 1 The single stuck-at faults detected by this test are: { } 1 / , 1 / , / , / , / , / 1 7 5 10 B g g g g F 2...
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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 S'09 hw2 - sol - is a test for this fault. 4. Fig. 2...

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