hw7sol - ECE 553: Testing and Testable Design of Digital...

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Department of Electrical and Computer Engineering University of Wisconsin–Madison ECE 553 : Testing and Testable Design of Digital Systems Fall 2011 Assignment #7 Solution 1. (Bushnell and Agrawal) Problem 15.2 Consider the polynomial for a standard LFSR shown in the ±gure: f ( x ) = x 8 + x 7 + x 2 + 1 D Q x D Q x D Q x D Q x D Q x D Q x X X X X X X 5 4 3 2 1 D Q x 7 D Q x X 7 X 6 6 5 4 3 2 1 0 0 CK RESET A standard LFSR X ( t + 1) = T s X ( t ) X 0 ( t + 1) X 1 ( t + 1) X 2 ( t + 1) X 3 ( t + 1) X 4 ( t + 1) X 5 ( t + 1) X 6 ( t + 1) X 7 ( t + 1) = 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 0 1 0 0 0 0 1 X 0 ( t ) X 1 ( t ) X 2 ( t ) X 3 ( t ) X
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hw7sol - ECE 553: Testing and Testable Design of Digital...

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