Read e-book online A (Terse) Introduction to Linear Algebra (Student PDF

By Yitzhak Katznelson and Yonatan R. Katznelson

ISBN-10: 0821844199

ISBN-13: 9780821844199

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Additional resources for A (Terse) Introduction to Linear Algebra (Student Mathematical Library, Vol. 44)

Example text

The initial objective is to set the objective net 12 to logic 1. The selection of net 9 as the next objective results in the assignment of 0 to primary input x4: 1 0 2 0 3 0 4 0 5 D 6 1 7 1 8 0 9 0 10 D 11 D 12 D Thus, the test for the fault α s-a-0 is x1x2x3x4=0000. The same test could be found for the fault by applying the D-algorithm; however, the D-algorithm requires substantial trial and error before the test is found. This is because of the variety of propagation paths and the attendant consistency operations that are required.

1 Clocked Hazard-Free Latches In LSSD, all internal storage is implemented in hazard-free polarity-hold latches. 18a. The latch cannot change state if C=0. If C is set to 1, the internal state of the latch takes the value of the excitation input D. 18d, respectively. 12: Hazard-free polarity-hold latch: (a) symbolic representation; (b) flow table; (c) excitation table; (d) logic implementation (Reprinted from Ref. [2], © 1978). 13: Polarity-hold SRL (Reprinted from Ref. [2], © 1978). The clock signal C will normally occur (change from 0 to 1) after the data signal D has became stable at either 1 or 0.

The initialization pattern is first loaded into the input latches. After the circuit has stabilized, the transition pattern is clocked into the input latches by using C1. The output pattern of the circuit is next loaded into the output latches by setting the clock C2 at logic 1 for a period equal to or greater than the time required for the output pattern to be loaded into the latch and stabilize. The possible presence of a delay fault is confirmed if the output value is different from the expected value.

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A (Terse) Introduction to Linear Algebra (Student Mathematical Library, Vol. 44) by Yitzhak Katznelson and Yonatan R. Katznelson


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