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ECE354 hw3 - sol

# ECE354 hw3 - sol - NEW JERSEY INSTITUTE OF TECHNOLOGY DEPT...

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NEW JERSEY INSTITUTE OF TECHNOLOGY ACADEMIC YEAR 2008-2009 SEMESTER 2 ECE354 DIGITAL TEST S OLUTION HW3 From HW1 we have: CD B A F + + = We use this function to compute the complete test sets on the input lines. Faults on A : ) ( D C B A A CD B A F + = + = A /0 : Need to solve 1 = A F A . 1 ) ( = + = + D AB C AB D C AB , { } { } { } 14 , 13 , 12 1110 , 1101 , 1100 0 11 , 110 ) 0 / ( = = - - = A TS A /1 : Need to solve 1 = A F A . 1 ) ( = + = + D B A C B A D C B A , { } { } { } 6 , 5 , 4 0110 , 0101 , 0100 0 01 , 010 ) 1 / ( = = - - = A TS Faults on B : ) ( D C A B B CD A B F + = + = B /0 : Need to solve 1 = B F B . 1 ) ( = + = + D AB C AB D C BA , { } { } { } 14 , 13 , 12 1110 , 1101 , 1100 0 11 , 110 ) 0 / ( = = - - = B TS B /1 : Need to solve 1 = B F B . 1 ) ( = + = + D B A C B A D C A B , { } { } { } 10 , 9 , 8 1010 , 1001 , 1000 0 10 , 100 ) 1 / ( = = - - = B TS Faults on C : 1

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ABD C CD B A C F = + = ) ( C /0 : Need to solve 1 = C F C . 1 = ABCD , { } { } 15 1111 ) 0 / ( = = C TS C /1 : Need to solve 1 = C F C . 1 = D C AB , { } { } 13 1101 ) 1 / ( = = C TS Faults on D : ABC D CD B A D F = + = ) ( D /0 : Need to solve 1 = D F D . 1 = ABCD , { } { } 15 1111 ) 0 / ( = = D TS D /1 : Need to solve 1 = D F D . 1 = D ABC , { } { } 14 1110 ) 1 / ( = = D TS Faults on 1 g : We create the circuit to compute the pseudo-function 1 g F : A B C D 1 g 1 Ag CD D B + CD Ag 1 ) ( D B CD + 1 g F Fig. 1. Circuit for computing faults on g1 ) ( 1 1 D B CD CD Ag F g + + = , B g = 1 2
CD D B A D B CD A CD g CD Ag D B CD g F g ) ( ) ( ) ( ) ( 1 1 1 1 + = + = + = 0 / 1 g : Need to solve 1 1 1 1 = g F g g . { } 14

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ECE354 hw3 - sol - NEW JERSEY INSTITUTE OF TECHNOLOGY DEPT...

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