PLTW Engineering
Digital Electronics
Activity 2.1.1 AOI Design: Truth Tables to Logic
Expressions Worksheet
Procedure
Truth Tables to Logic Expressions
1. Write the un-simplified logic expression for each of the following truth tables.
a. What is F1?
M
N
F1
0
0
1
0
1
0
1
0
0
1
1
1
b. What is F2?
M
N
F2
0
0
1
0
1
0
1
0
1
1
1
1
c. What is F3?
P
Q
R
F3
0
0
0
0
0
0
1
1
0
1
0
0
0
1
1
0
1
0
0
1
1
0
1
0
1
1
0
1
1
1
1
0
© 2021 Project Lead The Way, Inc.
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PLTW Engineering
Digital Electronics
d. What is F4?
J
K
L
F4
0
0
0
0
0
0
1
1
0
1
0
0
0
1
1
1
1
0
0
1
1
0
1
0
1
1
0
0
1
1
1
1
e. What is F5?
W
X
Y
Z
F5
0
0
0
0
0
0
0
0
1
0
0
0
1
0
1
0
0
1
1
0
0
1
0
0
1
0
1
0
1
1
0
1
1
0
0
0
1
1
1
0
1
0
0
0
0
1
0
0
1
0
1
0
1
0
1
1
0
1
1
0
1
1
0
0
1
1
1
0
1
0
1
1
1
0
1
1
1
1
1
0
© 2021 Project Lead The Way, Inc.
2
PLTW Engineering
Digital Electronics
Truth Tables to Logic Expressions
2. Create a corresponding truth table for each logic expression.
a.
F1  C D  C D
b.
F2  R S T  R S  R S T  S T
c.
F3  A B C  A B C  A B C  A C
Seat Belt Alarm Circuit
3. Complete the truth table.
D
K
S
B
(Door)
(Key)
(Seat Belt)
(Buzzer)
0
0
0
0
0
1
0
1
0
0
1
1
1
0
0
1
0
1
1
1
0
1
1
1
4. Write the un-simplified logic expression for the buzzer.
Humidity Sensor Circuit
5. Create a truth table that captures the functionality of this room monitoring system.
6. Using the truth table that you just created, write the unsimplified logic expression for the ALERT light.
© 2021 Project Lead The Way, Inc.
3