ch09.3.htm
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<TITLE> 9.3 PLA Tools</TITLE></HEAD><!--#include file="top.html"--><!--#include file="header.html"-->
<DIV>
<P>[ <A HREF="CH09.htm">Chapter start</A> ] [ <A HREF="CH09.2.htm">Previous page</A> ] [ <A HREF="CH09.4.htm">Next page</A> ]</P><!--#include file="AmazonAsic.html"--><HR></DIV>
<H1 CLASS="Heading1">
<A NAME="pgfId=3353">
</A>
9.3 <A NAME="35314">
</A>
PLA Tools</H1>
<P CLASS="BodyAfterHead">
<A NAME="pgfId=11234">
</A>
We shall use the <A NAME="marker=10954">
</A>
Berkeley PLA tools to illustrate logic minimization using an example to minimize the logic required to implement the following three logic functions:</P>
<P CLASS="ComputerOneLine">
<A NAME="pgfId=3361">
</A>
F1 = A|B|!C; F2 = !B&C; F3 = A&B|C;</P>
<P CLASS="Body">
<A NAME="pgfId=8142">
</A>
These equations are in <SPAN CLASS="BodyComputer">
eqntott</SPAN>
input format. The <SPAN CLASS="BodyComputer">
eqntott</SPAN>
<A NAME="marker=10953">
</A>
(for “equation to truth table”) program converts the input equations into a tabular format. <A HREF="#26551" CLASS="XRef">
Table 9.8</A>
shows the truth table and <SPAN CLASS="BodyComputer">
eqntott</SPAN>
output for functions <SPAN CLASS="BodyComputer">
F1</SPAN>
, <SPAN CLASS="BodyComputer">
F2</SPAN>
, and <SPAN CLASS="BodyComputer">
F3</SPAN>
that use the six minterms: <SPAN CLASS="BodyComputer">
A</SPAN>
, <SPAN CLASS="BodyComputer">
B</SPAN>
, <SPAN CLASS="BodyComputer">
!C</SPAN>
, <SPAN CLASS="BodyComputer">
!B&C</SPAN>
, <SPAN CLASS="BodyComputer">
A&B</SPAN>
, <SPAN CLASS="BodyComputer">
C</SPAN>
. </P>
<TABLE>
<TR>
<TD ROWSPAN="1" COLSPAN="10">
<P CLASS="TableTitle">
<A NAME="pgfId=22358">
</A>
TABLE 9.8 <A NAME="26551">
</A>
A PLA tools example.</P>
</TD>
</TR>
<TR>
<TD ROWSPAN="1" COLSPAN="10">
<P CLASS="TableLeft">
<A NAME="pgfId=34337">
</A>
Input (6 minterms): F1 = A|B|!C; F2 = !B&C; F3 = A&B|C;</P>
</TD>
</TR>
<TR>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="TableFirst">
<A NAME="pgfId=22398">
</A>
<SPAN CLASS="TableHeads">
A</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="TableFirst">
<A NAME="pgfId=22400">
</A>
<SPAN CLASS="TableHeads">
B</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="TableFirst">
<A NAME="pgfId=22402">
</A>
<SPAN CLASS="TableHeads">
C</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="TableFirst">
<A NAME="pgfId=22404">
</A>
<SPAN CLASS="TableHeads">
F1</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="TableFirst">
<A NAME="pgfId=22406">
</A>
<SPAN CLASS="TableHeads">
F2</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="TableFirst">
<A NAME="pgfId=22408">
</A>
<SPAN CLASS="TableHeads">
F3</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="2">
<P CLASS="Table">
<A NAME="pgfId=22410">
</A>
<SPAN CLASS="BodyComputer">
eqntott</SPAN>
output</P>
</TD>
<TD ROWSPAN="1" COLSPAN="2">
<P CLASS="Table">
<A NAME="pgfId=22414">
</A>
<SPAN CLASS="BodyComputer">
espresso</SPAN>
output</P>
</TD>
</TR>
<TR>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22418">
</A>
<SPAN CLASS="BodyComputer">
0</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22420">
</A>
<SPAN CLASS="BodyComputer">
0</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22422">
</A>
<SPAN CLASS="BodyComputer">
0</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22424">
</A>
<SPAN CLASS="BodyComputer">
1</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22426">
</A>
<SPAN CLASS="BodyComputer">
0</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22428">
</A>
<SPAN CLASS="BodyComputer">
0</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22430">
</A>
</P>
</TD>
<TD ROWSPAN="8" COLSPAN="1">
<P CLASS="Computer">
<A NAME="pgfId=22432">
</A>
.i 3</P>
<P CLASS="Computer">
<A NAME="pgfId=22433">
</A>
.o 3</P>
<P CLASS="Computer">
<A NAME="pgfId=22434">
</A>
.p 6</P>
<P CLASS="Computer">
<A NAME="pgfId=22435">
</A>
--0 100</P>
<P CLASS="Computer">
<A NAME="pgfId=22436">
</A>
--1 001</P>
<P CLASS="Computer">
<A NAME="pgfId=22437">
</A>
-01 010</P>
<P CLASS="Computer">
<A NAME="pgfId=22438">
</A>
-1- 100</P>
<P CLASS="Computer">
<A NAME="pgfId=22439">
</A>
1-- 100</P>
<P CLASS="Computer">
<A NAME="pgfId=22440">
</A>
11- 001</P>
<P CLASS="Computer">
<A NAME="pgfId=22441">
</A>
.e</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Computer">
<A NAME="pgfId=22444">
</A>
</P>
</TD>
<TD ROWSPAN="8" COLSPAN="1">
<P CLASS="ComputerFirst">
<A NAME="pgfId=22446">
</A>
.i 3</P>
<P CLASS="Computer">
<A NAME="pgfId=22447">
</A>
.o 3</P>
<P CLASS="Computer">
<A NAME="pgfId=22448">
</A>
.p 6</P>
<P CLASS="Computer">
<A NAME="pgfId=22449">
</A>
1-- 100</P>
<P CLASS="Computer">
<A NAME="pgfId=22450">
</A>
11- 001</P>
<P CLASS="Computer">
<A NAME="pgfId=22451">
</A>
--0 100</P>
<P CLASS="Computer">
<A NAME="pgfId=22452">
</A>
-01 011</P>
<P CLASS="Computer">
<A NAME="pgfId=22453">
</A>
-11 101</P>
<P CLASS="ComputerLast">
<A NAME="pgfId=22454">
</A>
.e</P>
<P CLASS="Computer">
<A NAME="pgfId=22455">
</A>
</P>
</TD>
</TR>
<TR>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22457">
</A>
<SPAN CLASS="BodyComputer">
0</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22459">
</A>
<SPAN CLASS="BodyComputer">
0</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22461">
</A>
<SPAN CLASS="BodyComputer">
1</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22463">
</A>
<SPAN CLASS="BodyComputer">
0</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22465">
</A>
<SPAN CLASS="BodyComputer">
1</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22467">
</A>
<SPAN CLASS="BodyComputer">
1</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22469">
</A>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22473">
</A>
</P>
</TD>
</TR>
<TR>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22477">
</A>
<SPAN CLASS="BodyComputer">
0</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22479">
</A>
<SPAN CLASS="BodyComputer">
1</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22481">
</A>
<SPAN CLASS="BodyComputer">
0</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22483">
</A>
<SPAN CLASS="BodyComputer">
1</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22485">
</A>
<SPAN CLASS="BodyComputer">
0</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22487">
</A>
<SPAN CLASS="BodyComputer">
0</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22489">
</A>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22493">
</A>
</P>
</TD>
</TR>
<TR>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22497">
</A>
<SPAN CLASS="BodyComputer">
0</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22499">
</A>
<SPAN CLASS="BodyComputer">
1</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22501">
</A>
<SPAN CLASS="BodyComputer">
1</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22503">
</A>
<SPAN CLASS="BodyComputer">
1</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22505">
</A>
<SPAN CLASS="BodyComputer">
0</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22507">
</A>
<SPAN CLASS="BodyComputer">
1</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22509">
</A>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22513">
</A>
</P>
</TD>
</TR>
<TR>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22517">
</A>
<SPAN CLASS="BodyComputer">
1</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22519">
</A>
<SPAN CLASS="BodyComputer">
0</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22521">
</A>
<SPAN CLASS="BodyComputer">
0</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22523">
</A>
<SPAN CLASS="BodyComputer">
1</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22525">
</A>
<SPAN CLASS="BodyComputer">
0</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22527">
</A>
<SPAN CLASS="BodyComputer">
0</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22529">
</A>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22533">
</A>
</P>
</TD>
</TR>
<TR>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22537">
</A>
<SPAN CLASS="BodyComputer">
1</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22539">
</A>
<SPAN CLASS="BodyComputer">
0</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22541">
</A>
<SPAN CLASS="BodyComputer">
1</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22543">
</A>
<SPAN CLASS="BodyComputer">
1</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22545">
</A>
<SPAN CLASS="BodyComputer">
1</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22547">
</A>
<SPAN CLASS="BodyComputer">
1</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22549">
</A>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22553">
</A>
</P>
</TD>
</TR>
<TR>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22557">
</A>
<SPAN CLASS="BodyComputer">
1</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
<P CLASS="Table">
<A NAME="pgfId=22559">
</A>
<SPAN CLASS="BodyComputer">
1</SPAN>
</P>
</TD>
<TD ROWSPAN="1" COLSPAN="1">
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