ECE354 S'09 hw3 - sol

# ECE354 S'09 hw3 - sol - NEW JERSEY INSTITUTE OF TECHNOLOGY...

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Unformatted text preview: NEW JERSEY INSTITUTE OF TECHNOLOGY DEPT. OF ELECTRICAL & COMPUTER ENGINEERING 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 11 , 110 ) / ( = =-- = 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 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 11 , 110 ) / ( = =-- = 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 10 , 100 ) 1 / ( = =-- = B TS Faults on C : 1 ABD C CD B A C F = ∂ ∂ + = ∂ ∂ ) ( C /0 : Need to solve 1 = ∂ ∂ C F C . 1 = ABCD , { } { } 15 1111 ) / ( = = 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 ) / ( = = 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 + = + = ∂ ∂ + = ∂ ∂ / 1 g : Need to solve 1 1 1 1 = ∂ ∂ g F g g ....
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ECE354 S'09 hw3 - sol - NEW JERSEY INSTITUTE OF TECHNOLOGY...

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