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&#8853;</SPAN>

 B)</P>

</TD>

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<P CLASS="Table">

<A NAME="pgfId=88925">

 </A>

A' &#183; B' + A &#183; B</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=88927">

 </A>

0, 3</P>

</TD>

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<P CLASS="Table">

<A NAME="pgfId=88929">

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&nbsp;</P>

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<P CLASS="Table">

<A NAME="pgfId=88931">

 </A>

&nbsp;</P>

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<A NAME="pgfId=88933">

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&nbsp;</P>

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<P CLASS="Table">

<A NAME="pgfId=88935">

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&nbsp;</P>

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<A NAME="pgfId=88937">

 </A>

&nbsp;</P>

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<A NAME="pgfId=88939">

 </A>

&nbsp;</P>

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<A NAME="pgfId=88941">

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&nbsp;</P>

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<A NAME="pgfId=88943">

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&nbsp;</P>

</TD>

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<TR>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=88945">

 </A>

12</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=88947">

 </A>

OR(A, B)</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=88949">

 </A>

A + B</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=88951">

 </A>

A' &#183; B + A &#183; B' + A &#183; B</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=88953">

 </A>

1, 2, 3</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=88955">

 </A>

B</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=88957">

 </A>

1</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=88959">

 </A>

A</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=88961">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=88963">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=88965">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=88967">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=88969">

 </A>

&nbsp;</P>

</TD>

</TR>

<TR>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=88971">

 </A>

13</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=88973">

 </A>

OR1-1(A, B)</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=88975">

 </A>

A + B'</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=88977">

 </A>

A' &#183; B' + A &#183; B' + A &#183; B</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=88979">

 </A>

0, 2, 3</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=88981">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=88983">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=88985">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=88987">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=88989">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=88991">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=88993">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=88995">

 </A>

&nbsp;</P>

</TD>

</TR>

<TR>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=88997">

 </A>

14</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=88999">

 </A>

NAND(A, B)</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89001">

 </A>

(A &#183; B)'</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89003">

 </A>

A' &#183; B' + A' &#183; B + A &#183; B'</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89005">

 </A>

0, 1, 2</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89007">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89009">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89011">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89013">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89015">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89017">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89019">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89021">

 </A>

&nbsp;</P>

</TD>

</TR>

<TR>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=89023">

 </A>

15</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=89025">

 </A>

NAND1-1(A, B)</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89027">

 </A>

(A &#183; B')'</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89029">

 </A>

A' &#183; B' + A' &#183; B + A &#183; B</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89031">

 </A>

0, 1, 3</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89033">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89035">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89037">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89039">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89041">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89043">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89045">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89047">

 </A>

&nbsp;</P>

</TD>

</TR>

<TR>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=89049">

 </A>

16</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=89051">

 </A>

1</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89053">

 </A>

1</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89055">

 </A>

A' &#183; B' + A' &#183; B + A &#183; B' + A &#183; B</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89057">

 </A>

0, 1, 2, 3</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89059">

 </A>

1</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89061">

 </A>

1</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89063">

 </A>

1</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89065">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89067">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89069">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89071">

 </A>

&nbsp;</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=89073">

 </A>

&nbsp;</P>

</TD>

</TR>

</TABLE>

<P CLASS="ExerciseHead">

<A NAME="pgfId=63465">

 </A>

5.17&nbsp;<A NAME="26819">

 </A>

(ACT&nbsp;1 module implementation, 120 min.) </P>

<UL>

<LI CLASS="ExercisePartFirst">

<A NAME="pgfId=91493">

 </A>

a.&nbsp;Show that the circuit shown in <A HREF="CH05.6.htm#22251" CLASS="XRef">

Figure&nbsp;5.17</A>

, with buffered inputs and outputs, is equivalent to the one shown in <A HREF="CH05.1.htm#17629" CLASS="XRef">

Figure&nbsp;5.1</A>

. </LI>

<TABLE>

<TR>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableFigureTitle">

<A NAME="pgfId=91508">

 </A>

FIGURE&nbsp;5.17&nbsp;<A NAME="22251">

 </A>

 An alternative implementation of the ACT&nbsp;1 Logic Module shown in <A HREF="CH05.1.htm#17629" CLASS="XRef">

Figure&nbsp;5.1</A>

 (Problem 5.17).</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableFigure">

<A NAME="pgfId=63477">

 </A>

&nbsp;</P>

<DIV>

<IMG SRC="CH05-17.gif">

</DIV>

</TD>

</TR>

</TABLE>

<LI CLASS="ExercisePart">

<A NAME="pgfId=91494">

 </A>

b.&nbsp;Show that the circuit for the ACT&nbsp;1 Logic Module shown in <A HREF="CH05.6.htm#27232" CLASS="XRef">

Figure&nbsp;5.18</A>

 is also the same. </LI>

<LI CLASS="ExercisePart">

<A NAME="pgfId=91495">

 </A>

c.&nbsp;Convert the circuit of <A HREF="CH05.6.htm#27232" CLASS="XRef">

Figure&nbsp;5.18</A>

 to one that uses more efficient CMOS gates: inverters, AOI, and NAND gates. </LI>

<LI CLASS="ExercisePart">

<A NAME="pgfId=91496">

 </A>

d.&nbsp;(harder) Assume that the ACT&nbsp;1 Logic Module has the equivalent of a 2X drive and the logic ratio is close to one. Compare your answer to part c against <A HREF="CH05.6.htm#22251" CLASS="XRef">

Figure&nbsp;5.17</A>

 in terms of logical efficiency and logical area.</LI>

<TABLE>

<TR>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableFigureTitle">

<A NAME="pgfId=91547">

 </A>

FIGURE&nbsp;5.18&nbsp;<A NAME="27232">

 </A>

A schematic equivalent of the Actel ACT&nbsp;1 Logic Module (Problem 5.17).</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableFigure">

<A NAME="pgfId=63489">

 </A>

<IMG SRC="CH05-18.gif" ALIGN="BASELINE">

&nbsp;</P>

</TD>

</TR>

</TABLE>

</UL>

<P CLASS="ExerciseHead">

<A NAME="pgfId=93469">

 </A>

5.18&nbsp;(**Xilinx CLB analysis, 60 min.) <A HREF="CH05.6.htm#34617" CLASS="XRef">

Table&nbsp;5.11</A>

 shows some information derived from a die photo in the AT&amp;T ATT3000 series data book that shows the eight by eight CLB matrix on an ATT3020 (equivalent to a XC3020) clearly. By measuring the die size in the photo and knowing the actual die size we can calculate the size of a CLB <SPAN CLASS="Definition">

matrix element</SPAN>

<A NAME="marker=93470">

 </A>

 (<A NAME="marker=93471">

 </A>

ME<A NAME="marker=93472">

 </A>

) that includes a single XC3000 CLB as approximately 277 mil<SUP CLASS="Superscript">

2</SUP>

. The ME includes interconnect, SRAM, programming, and other resources as well as a CLB. </P>

<TABLE>

<TR>

<TD ROWSPAN="1" COLSPAN="4">

<P CLASS="TableTitle">

<A NAME="pgfId=93712">

 </A>

TABLE&nbsp;5.11&nbsp;<A NAME="21969">

 </A>

<A NAME="34617">

 </A>

ATT3020 die information (Problem 5.18).<A HREF="#pgfId=93716" CLASS="footnote">

1</A>

</P>

</TD>

</TR>

<TR>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=93724">

 </A>

<SPAN CLASS="TableHeads">

Parameter</SPAN>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=93726">

 </A>

<SPAN CLASS="TableHeads">

Data book</SPAN>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=93728">

 </A>

<SPAN CLASS="TableHeads">

Die photo</SPAN>

</P>

</TD>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="Table">

<A NAME="pgfId=93730">

 </A>

<SPAN CLASS="TableHeads">

Calculated</SPAN>

</P>

</TD>

</TR>

<TR>

<TD ROWSPAN="1" COLSPAN="1">

<P CLASS="TableLeft">

<A NAME="pgfId=93732">

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