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Date: Mon, 02 Dec 1996 15:10:53 GMTServer: NCSA/1.4.2Content-type: text/html<html><head><title>CSE567 Homework Assignment #3</title></head><body bgcolor="#dddddd" text="#000000" link="#0000ee" vlink="501080" alink="ff0000"><h1>CSE 567: Principles of Digital Systems Design </h1><h3>Carl Ebeling, Fall 1996 </h2><hr><h3>Homework 3</h3><p><b>Distributed: Friday Oct. 18 - Due Monday Oct. 28, in class</b><hr><p>For problems involving Verilog code, hand in your code and yoursimulation log (or at least part of it if it's really long). For thesynthesis problems, hand in a printout of the circuit schematic generated.<ol><LI> Generate all the kernels of the following expression using therectangle covering method:<P><pre> f = ace + acg + bce + bcg + ade + adg + bde + bdg</pre><li> Minimize the following expression using multi-level logic. Thecost of this expression implemented directly as gates is 7 gates and30 inputs (literals). Minimize this circuit in terms of literals.<p>Use the rectangle method to find interesting kernel and cube divisors.Remember that as each time you factor the function, you create a newexpression and new rectangle covering table.<pre>X = adeg + cdeg + afg + hi + bdeg + cfg + bfg</pre><li> Look at the two Verilog implementations of a comparator in/projects/lis/cse567/verilog/examples/comparator/ and simulate eachusing the verilog simulator. ("verilog.exe compare_TB.v" will do thetrick)<li> Use the comparator Verilog module to construct a MIN/MAXcircuit. This MIN/MAX module has two 4-bit inputs, A and B, and two4-bit outputs, Large and Small, where Large is the larger of A and Band Small is the smaller. Simulate your circuit to validate itsbehavior.<li> Use the MIN/MAX circuit to implement a sorting network that sortsfour numbers. Simulate and validate its behavior.<li> Synthesize the circuit for the expression in problem 2 usingSynopsys. (<a href="../misc/gate-syn.html">Directions for synthesis</a>)Does Synopsys give you the same circuit you found? <li> Synthesize the 4-bit comparator module in compare2.v. Trydifferent opimization settings, including the defaults. What's the"best" circuit you can come up with?<li> Try synthesizing a 32-bit comparator using Synopsys. How wellcan you guide the results by fiddling different timing and costconstraints?</ol></body><address><hr>ebeling@cs.washington.edu</address><p></html>
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