08 calc and nonlinear
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1. The document provides instructions for performing statistical plots, regression equations, and exponential graphs on a graphing calculator. 2. It explains how to create lists of data, turn on stat plots, choose appropriate window settings, and select different types of regression analyses. 3. Examples are given for linear, quadratic, cubic, and exponential regression equations and how to graph the generated equations. Students are directed to practice examples in their textbook in preparation for a similar quiz tomorrow.
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© Dmitriy ShironosovShutterStock, Inc.LABORATORYLogic C.docx
© Dmitriy Shironosov/ShutterStock, Inc.
LABORATORY
Logic Circuits
6
■■ Experiment■with■digital■logic■circuits■using■a■simple■logic■gate■simulator.
■Software■needed:
■ 1)■ LogicGates■app■from■the■Lab■Manual■website■(Logic■Gates.jar)■
OBJECTIVE
REFERENCES
© Jones & Bartlett Learning, LLC
NOT FOR SALE OR DISTRIBUTION
Logic Circuits | 43
BACKGROUND
Review these topics from your textbook, lecture notes, or online resources:
■ Logic gates: AND, OR, NOT, XOR, NAND, NOR
■ Truth tables, combinational circuits, gate processing, 1-bit full adders, multiplexers
ACTIVITY
Digital logic circuits are the bedrock of computer design. CPU chips from companies like
Intel and AMD are silicon wafers in which millions of circuits are embedded. Everything
your computer does depends upon them.
In this lab, we will learn how to use the LogicGates app to draw and test digital logic
circuits. Chip manufacturers, such as Intel and AMD, use sophisticated (and extremely
expensive) software to help them design and test their chips. But the basic idea of what
we will be doing is the same.
First, start the LogicGates app. You can load a number of examples by pulling down
the example choice pull-down menu. Load the example labeled 1 simple, as shown here:
Each logic gate has a distinctive shape. The wire coming out of the gate shows its
current value. Gates are oriented so that their inputs come in from the left side and their
outputs go out from the right side. This design cannot be changed; nor can the gates be
rotated in this app.
Two special boxes exist for input and output. The switch box has a lever in it along
with 1 or 0. To flip the lever and change the value, click on the number right in the
center. The other box has only 1 or 0 in it. This is the output box, which accepts a wire
from a gate and displays its value.
To propagate new values through the circuit, click on the Run button. It changes
to say Stop, so that when you click on it again, the simulator stops running. When the
circuit is running, you can click on the switches and watch values change throughout
the circuit.
© Jones & Bartlett Learning, LLC
NOT FOR SALE OR DISTRIBUTION
44 | Laboratory 6
To practice using the simulator, we’ll build the logic circuit encoding the Boolean
expression (AB) OR (AC), which will require three total switches and three total gates
connected sequentially. First, if your simple example circuit is still running, click the
Stop button. Now, clear the screen by clicking the Clear button. To build the circuit,
you’ll need to add three switches, two AND gates, one OR gate, and one output box. To
create them, click on the New button, pull down the gate menu, and select the gate or
other item you want. Then click once where you want the switch, gate, or output box to
sit. You can reposition gates, switches, and outputs by dragging them to a new location.
Notice that when you are adding gates, the New button changes to say *New. M.
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08 calc and nonlinear
- 1. 1
- 3. Window Settings 3
- 4. Cut and Graph Type 1 Type 2 Stat Plot of tables. discrete or continuous? equations? 4
- 5. How to do a STAT plot: 1. Put the items into lists: STAT ENTER (Clear old lists by selecting L1, L2, etc. and pressing: CLEAR ENTER) 2. Turn on STAT PLOT: 2nd Y= ENTER Choose "On" and a Type (Line is good) Press GRAPH to see your graph. (You may need to change Window settings) Window Settings: Xmin should be a bit lower than your lowest value in L1 Xmax should be a bit higher than your highestvalue in L1 Ymin should be a bit lower than your lowest value in L2 Ymax should be a bit higher than your highestvalue in L2 5
- 6. How to do a regression equation: A regression equation is a way to find the mathematical equation from the data points in a plot. Make sure "DiagnosticOn" is selected to see how good your equation is: Press: 2nd 0 Scroll down to DiagnosticOn and press ENTER ENTER (Your calculator remembers this setting.) Press: STAT Choose CALC Pick one of the options: We will usually use one of: 4:LinReg 5:QuadReg 0:ExpReg We MIGHT use: 6:CubicReg Your calculator will spit out an equation, which we can use... 6
- 7. 7
- 8. To USE a regression equation, Press Y= CLEAR (to clear the function that's already there) VARS Choose 5:Statistics... Choose EQ Choose 1 (default) and press ENTER Press GRAPH to see the graph of the equation. 8
- 9. 9
- 11. 11
- 12. Do: Investigation 1 on page 64 (follow all steps) Follow through the solutions of (with your calculator) Example 1 and Example 2 (pages 68 and 69) TOMORROW you will have a SHORT QUIZ that is EXACTLY LIKE one of the examples (but with different numbers). You can even use your text book. But, you have to do them now so that you know how to do it. 12