ch14.b.htm
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<P CLASS="TableFirst">
<A NAME="pgfId=18955">
</A>
Q2<SUB CLASS="Subscript">
t – 4</SUB>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="TableFirst">
<A NAME="pgfId=18957">
</A>
Q2<SUB CLASS="Subscript">
t – 5</SUB>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="TableFirst">
<A NAME="pgfId=18959">
</A>
Q2<SUB CLASS="Subscript">
t – 6</SUB>
</P>
</TD>
</TR>
<TR>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19077">
</A>
</P>
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<P CLASS="Table">
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1</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=18963">
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0</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=18965">
</A>
1</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=18967">
</A>
0</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=18969">
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0</P>
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<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=18971">
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1</P>
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<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=18973">
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1</P>
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</P>
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1</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=18977">
</A>
1</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=18979">
</A>
0</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=18981">
</A>
1</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=18983">
</A>
0</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=18985">
</A>
0</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=18987">
</A>
1</P>
</TD>
</TR>
<TR>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19081">
</A>
</P>
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<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=18989">
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1</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=18991">
</A>
1</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=18993">
</A>
1</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=18995">
</A>
0</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=18997">
</A>
1</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=18999">
</A>
0</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19001">
</A>
0</P>
</TD>
</TR>
<TR>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19083">
</A>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19003">
</A>
0</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19005">
</A>
1</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19007">
</A>
1</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19009">
</A>
1</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19011">
</A>
0</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19013">
</A>
1</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19015">
</A>
0</P>
</TD>
</TR>
<TR>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19085">
</A>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19017">
</A>
0</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19019">
</A>
0</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19021">
</A>
1</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19023">
</A>
1</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19025">
</A>
1</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19027">
</A>
0</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19029">
</A>
1</P>
</TD>
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<TR>
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<P CLASS="Table">
<A NAME="pgfId=19087">
</A>
</P>
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<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
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</A>
1</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19033">
</A>
0</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19035">
</A>
0</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19037">
</A>
1</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19039">
</A>
1</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19041">
</A>
1</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19043">
</A>
0</P>
</TD>
</TR>
<TR>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19089">
</A>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19045">
</A>
0</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19047">
</A>
1</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19049">
</A>
0</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19051">
</A>
0</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19053">
</A>
1</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19055">
</A>
1</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19057">
</A>
1</P>
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<TR>
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<P CLASS="Table">
<A NAME="pgfId=19162">
</A>
</P>
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<P CLASS="Table">
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<P CLASS="Table">
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</A>
</P>
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<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19170">
</A>
</P>
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<P CLASS="Table">
<A NAME="pgfId=19172">
</A>
</P>
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<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19174">
</A>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19176">
</A>
</P>
</TD>
</TR>
<TR>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19091">
</A>
<SPAN CLASS="TableHeads">
Correlation with Q2</SPAN>
<SUB CLASS="Subscript">
t</SUB>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19059">
</A>
4</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19061">
</A>
2</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19063">
</A>
2</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19065">
</A>
2</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19067">
</A>
2</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19069">
</A>
2</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=19071">
</A>
2</P>
</TD>
</TR>
</TABLE>
</UL>
<P CLASS="ExerciseHead">
<A NAME="pgfId=9834">
</A>
14.22 (Sentry, 20 min.) Write a Sentry test file to check the preset of a D flip-flop.</P>
<P CLASS="ExerciseHead">
<A NAME="pgfId=98702">
</A>
14.23 (Synthesis, 20 min.) Consider the following equations:</P>
<P CLASS="ComputerOneLine">
<A NAME="pgfId=98703">
</A>
f1 = x1'x2' + y3; f2 = x1x2' + x1'x2 = y2; f3 = x1x2y2' + x1'x2' = y3</P>
<P CLASS="Exercise">
<A NAME="pgfId=85728">
</A>
How many untestable stuck-at faults are there in this network? Suppose we simplify the logic to the following:</P>
<P CLASS="ComputerOneLine">
<A NAME="pgfId=98718">
</A>
f1* = y2'; f2* = x1x2' + x1'x2</P>
<P CLASS="Exercise">
<A NAME="pgfId=162304">
</A>
How many untestable stuck-at faults are there? <SPAN CLASS="Emphasis">
Hint:</SPAN>
If you are stuck, see <A NAME="[Bartlett, 1988]">
</A>
[Bartlett et al., 1988; <A NAME="[Brayton, 1990]">
</A>
Brayton, Hachtel, and Sangiovanni-Vincentelli, 1990].</P>
<P CLASS="ExerciseHead">
<A NAME="pgfId=162308">
</A>
14.24 (Threegates, 30 min.) Recreate the Threegates example.</P>
<P CLASS="ExerciseHead">
<A NAME="pgfId=18505">
</A>
14.25 (LFSR) Determine the pattern sequence generated by the 4-bit LFSR shown in <A HREF="CH14.b.htm#22969" CLASS="XRef">
Figure 14.38</A>
. Use the same format as <A HREF="CH14.7.htm#39749" CLASS="XRef">
Table 14.10</A>
.</P>
<TABLE>
<TR>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="TableFigTitleSide">
<A NAME="pgfId=18499">
</A>
FIGURE 14.38 <A NAME="22969">
</A>
A 4-bit linear feedback shift register (LFSR) (Problem 14.25).</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="TableFigure">
<A NAME="pgfId=18504">
</A>
</P>
<DIV>
<IMG SRC="CH14-42.gif">
</DIV>
</TD>
</TR>
</TABLE>
<P CLASS="ExerciseHead">
<A NAME="pgfId=17407">
</A>
14.26 <A NAME="17866">
</A>
(BIST, 15 min.) Find the signature if the CUT of <A HREF="CH14.7.htm#11447" CLASS="XRef">
Figure 14.25</A>
is Z = A'B + AC.</P>
<HR>
<DIV CLASS="footnotes">
<DIV CLASS="footnote">
<P CLASS="TableFootLast">
<SPAN CLASS="footnoteNumber">
1.</SPAN>
<A NAME="pgfId=119203">
</A>
D = detected; P = possibly detected; '–' = undetected; x/y means x is the result of the default detection mechanism and y is the result when three-state detection is enabled (allowing the detection of the difference between Z and R/S strength).</P>
</DIV>
</DIV>
<HR><P>[ <A HREF="CH14.htm">Chapter start</A> ] [ <A HREF="CH14.a.htm">Previous page</A> ] [ <A HREF="CH14.c.htm">Next page</A> ]</P></BODY>
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