ECET 105 Week 3 iLab Introduction to Digital Logic Gates
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ECET 105 Week 3 iLab Introduction to Digital Logic Gates
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I. OBJECTIVES
To understand basic logic functions (AND, OR, and NOT) and their complement used in Boolean algebra and digital logic design.
To test simple logic small-scale integration (SSI) integrated circuit (IC) devices.
II. PARTS LIST
Equipment:
IBM PC or Compatible with Windows 2000 or Higher
Parts:
1 – 74LS00 Quad 2-Input NAND Gate IC
1 – 74LS02 Quad 2-Input NOR Gate IC
1 – 74LS04 Hex INVERTER Gate IC
1 – 74LS08 Quad 2-Input AND Gate IC
1 – 74LS32 Quad 2-Input OR Gate IC
1 – 74LS86 Quad 2-Input XOR Gate IC
1 – Set of Four Single-Pole-Double-Throw (SPDT) Switches, DIP Style
1 – 330 Ω resistor
1 – Light emitting diode (LED), red
III. PROCEDURE
OR Gate Operation
Using the Internet or the campus library, acquire a hard copy of a data sheet for the 74LS32 quad 2-input OR gate. (HINT: Look at ti.com for possible help.) One of the OR gates is shown below in Figure 5.1.
Figure 5.1 – 2-Input OR Gate
Fill in the Table 5.1 for ALL possible logic conditions, based on the information found on the data sheet.
Input (Pin 1) Input (Pin 2) Output (Pin 3)
Table 5.1 - 2-Input OR Gate Theoretical Truth Table
Write the Boolean expression below for the relationship between the device inputs (labeled as A and B) and output (labeled as Y).
OUTPUT Y = ____________________________
Construct the circuit shown in Figure 5.2 (a layout of the breadboard is shown in Figure 5.3). Be sure that the flat side of the LED (called the cathode) is connected to ground and that the 74LS32 is connected to power and ground (Pins 14 and 7, respectively).
Figure 5.2 – OR Gate Test Circuit
Top View
Side View
Figure 5.3 – Breadboard Layout for Figure 5.2
Connect the circuit to verify the logic gate operation recording the input and output voltages. Fill in Table 5.2below for ALL possible logic conditions.
Input (Pin 1) Input (Pin 2) Output (Pin 3)
Table 5.2 - 2-Input OR Gate Measured Truth Table
Do the results match the manufacturer’s truth table? __________ (YES or NO)
AND Gate Operation
Acquire a hard copy of a data sheet for the 74LS08 quad 2-input AND gate.
Figure 5.4 – 2-Input AND Gate
Fill in the truth table below for ALL possible logic conditions based on the information found on the data sheet.
Input (Pin 1) Input (Pin 2) Output (Pin 3)
Table 5.3 - 2-Input AND Gate Theoretical Truth Table
Write the Boolean expression below for the relationship between the device inputs (labeled as A and B) and output (labeled as Y).
OUTPUT Y = ____________________________
Construct the circuit shown in Figure 5.5 by replacing the 74LS32 from Figure 5.2 with a 74LS08.
Figure 5.5 - 2-Input AND Gate Test Circuit
Connect the circuit to verify the logic gate operation recording the input and output voltages. Fill in the truth table below for ALL possible logic conditions.
Input (Pin 1) Input (Pin 2) Output (Pin 3)
Table 5.4 - 2-Input AND Gate Measured Truth Table
Do the results match the manufacturer’s truth table? __________ (YES or NO)
NAND Gate Operation
Acquire a hard copy of a data sheet for the 74LS00 quad 2-input NAND gate.
Figure 5.6 – 2-Input NAND Gate
Fill in Table 5.5 for ALL possible logic conditions, based on the information found on the data sheet.
Input (Pin 1) Input (Pin 2) Output (Pin 3)
Input (Pin 1) Input (Pin 2) Output (Pin 3)
Input (Pin 1) Input (Pin 2) Output (Pin 3)
Table 5.5 - 2-Input NAND Gate Theoretical Truth Table
Write the Boolean expression below for the relationship between the device inputs (labeled as A and B) and output (labeled as Y).
OUTPUT Y = ____________________________
Construct the circuit shown in Figure 5.7 by replacing the 74LS08 from Figure 5.5 with a 74LS00.
Figure 5.7 – 2-Input NAND Gate Test Circuit
Connect the circuit to verify the logic gate operation recording the input and output voltages. Fill in the truth table below for ALL possible logic conditions.
Input (Pin 1) Input (Pin 2) Output (Pin 3)
Table 5.6 - 2-Input OR Gate Measured Truth Table
Do the results match the manufacturer’s truth table? __________ (YES or NO)
Exclusive-OR Gate Operation
Acquire a hard copy of a data sheet for the 74LS86 quad 2-input exclusive-OR (XOR) gate.
Figure 5.8 – 2-Input XOR Gate
Fill in the truth table below for ALL possible logic conditions, based on the information found on the data sheet.
Input (Pin 1) Input (Pin 2) Output (Pin 3)
Table 5.7 - 2-Input XOR Gate Theoretical Truth Table
Write the Boolean expression below for the relationship between the device inputs (labeled as A and B) and output (labeled as Y).
OUTPUT Y = ____________________________
Construct the circuit shown in Figure 5.9 by replacing the 74LS00 from Figure 5.7 with a 74LS86.
Figure 5.9 – 2-Input XOR Gate Test Circuit
Connect the circuit to verify the logic gate operation recording the input and output voltages. Fill in the truth table below for ALL possible logic conditions.
Input (Pin 1) Input (Pin 2) Output (Pin 3)
Table 5.8 - 2-Input OR Gate Measured Truth Table
Do the results match the manufacturer’s truth table? __________ (YES or NO)
NOR Gate Operation
Acquire a hard copy of a data sheet for the 74LS02 quad 2-input NOR gate.
Figure 5.10 – 2-Input NOR Gate
Fill in the truth table below for ALL possible logic conditions, based on the information found on the data sheet.
Input (Pin 2) Input (Pin 3) Output (Pin 1)
Table 5.9 - 2-Input NOR Gate Theoretical Truth Table
Write the Boolean expression below for the relationship between the device inputs (labeled as A and B) and output (labeled as Y).
OUTPUT Y = ____________________________
Construct the circuit shown in Figure 5.11. Note that the pin numbers for inputs and outputs have changes from Figure 5.9 (output is now Pin 1, inputs are on Pins 2 and 3).
Figure 5.11 – 2-Input NOR Gate Test Circuit
Connect the circuit to verify the logic gate operation recording the input and output voltages. Fill in the truth table below for ALL possible logic conditions.
Input (Pin 2) Input (Pin 3) Output (Pin 1)
Table 5.10 - 2-Input NOR Gate Measured Truth Table
Do the results match the manufacturer’s truth table? __________ (YES or NO)
NOT Gate Operation
Acquire a hard copy of a data sheet for the 74LS04 hex NOT gate.
Figure 5.12 – NOT Gate
Fill in the truth table below for ALL possible logic conditions, based on the information found on the data sheet.
Input (Pin 2) Input (Pin 3) Output (Pin 1)
Table 5.11 - NOT Gate Theoretical Truth Table
Write the Boolean expression below for the relationship between the device input (labeled as A) and output (labeled as Y).
OUTPUT Y = ____________________________
Construct the circuit shown in Figure 5.13. Note that the pin numbers for inputs and outputs have changes from Figure 5.11 (output is now Pin 2, input is on Pin 1).
Figure 5.13 – 2-Input NOR Gate Test Circuit
Connect the circuit to verify the logic gate operation recording the input and output voltages. Fill in the truth table below for ALL possible logic conditions.
Input (Pin 1) Output (Pin 2)
Table 5.12 - NOT Gate Measured Truth Table
Do the results match the manufacturer’s truth table? __________ (YES or NO)
TROUBLESHOOTING
Describe any problems encountered and how those problems were solved.
I. OBJECTIVES
To understand basic logic functions (AND, OR, and NOT) and their complement used in Boolean algebra and digital logic design.
To test simple logic small-scale integration (SSI) integrated circuit (IC) devices.
II. PARTS LIST
Equipment:
IBM PC or Compatible with Windows 2000 or Higher
Parts:
1 – 74LS00 Quad 2-Input NAND Gate IC
1 – 74LS02 Quad 2-Input NOR Gate IC
1 – 74LS04 Hex INVERTER Gate IC
1 – 74LS08 Quad 2-Input AND Gate IC
1 – 74LS32 Quad 2-Input OR Gate IC
1 – 74LS86 Quad 2-Input XOR Gate IC
1 – Set of Four Single-Pole-Double-Throw (SPDT) Switches, DIP Style
1 – 330 Ω resistor
1 – Light emitting diode (LED), red
III. PROCEDURE
OR Gate Operation
Using the Internet or the campus library, acquire a hard copy of a data sheet for the 74LS32 quad 2-input OR gate. (HINT: Look at ti.com for possible help.) One of the OR gates is shown below in Figure 5.1.
Figure 5.1 – 2-Input OR Gate
Fill in the Table 5.1 for ALL possible logic conditions, based on the information found on the data sheet.
Input (Pin 1) Input (Pin 2) Output (Pin 3)
Table 5.1 - 2-Input OR Gate Theoretical Truth Table
Write the Boolean expression below for the relationship between the device inputs (labeled as A and B) and output (labeled as Y).
OUTPUT Y = ____________________________
Construct the circuit shown in Figure 5.2 (a layout of the breadboard is shown in Figure 5.3). Be sure that the flat side of the LED (called the cathode) is connected to ground and that the 74LS32 is connected to power and ground (Pins 14 and 7, respectively).
Figure 5.2 – OR Gate Test Circuit
Top View
Side View
Figure 5.3 – Breadboard Layout for Figure 5.2
Connect the circuit to verify the logic gate operation recording the input and output voltages. Fill in Table 5.2below for ALL possible logic conditions.
Input (Pin 1) Input (Pin 2) Output (Pin 3)
Table 5.2 - 2-Input OR Gate Measured Truth Table
Do the results match the manufacturer’s truth table? __________ (YES or NO)
AND Gate Operation
Acquire a hard copy of a data sheet for the 74LS08 quad 2-input AND gate.
Figure 5.4 – 2-Input AND Gate
Fill in the truth table below for ALL possible logic conditions based on the information found on the data sheet.
Input (Pin 1) Input (Pin 2) Output (Pin 3)
Table 5.3 - 2-Input AND Gate Theoretical Truth Table
Write the Boolean expression below for the relationship between the device inputs (labeled as A and B) and output (labeled as Y).
OUTPUT Y = ____________________________
Construct the circuit shown in Figure 5.5 by replacing the 74LS32 from Figure 5.2 with a 74LS08.
Figure 5.5 - 2-Input AND Gate Test Circuit
Connect the circuit to verify the logic gate operation recording the input and output voltages. Fill in the truth table below for ALL possible logic conditions.
Input (Pin 1) Input (Pin 2) Output (Pin 3)
Table 5.4 - 2-Input AND Gate Measured Truth Table
Do the results match the manufacturer’s truth table? __________ (YES or NO)
NAND Gate Operation
Acquire a hard copy of a data sheet for the 74LS00 quad 2-input NAND gate.
Figure 5.6 – 2-Input NAND Gate
Fill in Table 5.5 for ALL possible logic conditions, based on the information found on the data sheet.
Input (Pin 1) Input (Pin 2) Output (Pin 3)
Input (Pin 1) Input (Pin 2) Output (Pin 3)
Input (Pin 1) Input (Pin 2) Output (Pin 3)
Table 5.5 - 2-Input NAND Gate Theoretical Truth Table
Write the Boolean expression below for the relationship between the device inputs (labeled as A and B) and output (labeled as Y).
OUTPUT Y = ____________________________
Construct the circuit shown in Figure 5.7 by replacing the 74LS08 from Figure 5.5 with a 74LS00.
Figure 5.7 – 2-Input NAND Gate Test Circuit
Connect the circuit to verify the logic gate operation recording the input and output voltages. Fill in the truth table below for ALL possible logic conditions.
Input (Pin 1) Input (Pin 2) Output (Pin 3)
Table 5.6 - 2-Input OR Gate Measured Truth Table
Do the results match the manufacturer’s truth table? __________ (YES or NO)
Exclusive-OR Gate Operation
Acquire a hard copy of a data sheet for the 74LS86 quad 2-input exclusive-OR (XOR) gate.
Figure 5.8 – 2-Input XOR Gate
Fill in the truth table below for ALL possible logic conditions, based on the information found on the data sheet.
Input (Pin 1) Input (Pin 2) Output (Pin 3)
Table 5.7 - 2-Input XOR Gate Theoretical Truth Table
Write the Boolean expression below for the relationship between the device inputs (labeled as A and B) and output (labeled as Y).
OUTPUT Y = ____________________________
Construct the circuit shown in Figure 5.9 by replacing the 74LS00 from Figure 5.7 with a 74LS86.
Figure 5.9 – 2-Input XOR Gate Test Circuit
Connect the circuit to verify the logic gate operation recording the input and output voltages. Fill in the truth table below for ALL possible logic conditions.
Input (Pin 1) Input (Pin 2) Output (Pin 3)
Table 5.8 - 2-Input OR Gate Measured Truth Table
Do the results match the manufacturer’s truth table? __________ (YES or NO)
NOR Gate Operation
Acquire a hard copy of a data sheet for the 74LS02 quad 2-input NOR gate.
Figure 5.10 – 2-Input NOR Gate
Fill in the truth table below for ALL possible logic conditions, based on the information found on the data sheet.
Input (Pin 2) Input (Pin 3) Output (Pin 1)
Table 5.9 - 2-Input NOR Gate Theoretical Truth Table
Write the Boolean expression below for the relationship between the device inputs (labeled as A and B) and output (labeled as Y).
OUTPUT Y = ____________________________
Construct the circuit shown in Figure 5.11. Note that the pin numbers for inputs and outputs have changes from Figure 5.9 (output is now Pin 1, inputs are on Pins 2 and 3).
Figure 5.11 – 2-Input NOR Gate Test Circuit
Connect the circuit to verify the logic gate operation recording the input and output voltages. Fill in the truth table below for ALL possible logic conditions.
Input (Pin 2) Input (Pin 3) Output (Pin 1)
Table 5.10 - 2-Input NOR Gate Measured Truth Table
Do the results match the manufacturer’s truth table? __________ (YES or NO)
NOT Gate Operation
Acquire a hard copy of a data sheet for the 74LS04 hex NOT gate.
Figure 5.12 – NOT Gate
Fill in the truth table below for ALL possible logic conditions, based on the information found on the data sheet.
Input (Pin 2) Input (Pin 3) Output (Pin 1)
Table 5.11 - NOT Gate Theoretical Truth Table
Write the Boolean expression below for the relationship between the device input (labeled as A) and output (labeled as Y).
OUTPUT Y = ____________________________
Construct the circuit shown in Figure 5.13. Note that the pin numbers for inputs and outputs have changes from Figure 5.11 (output is now Pin 2, input is on Pin 1).
Figure 5.13 – 2-Input NOR Gate Test Circuit
Connect the circuit to verify the logic gate operation recording the input and output voltages. Fill in the truth table below for ALL possible logic conditions.
Input (Pin 1) Output (Pin 2)
Table 5.12 - NOT Gate Measured Truth Table
Do the results match the manufacturer’s truth table? __________ (YES or NO)
TROUBLESHOOTING
Describe any problems encountered and how those problems were solved.
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