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Build truth tables AND, OR, NOT, NAND, NOR, XOR
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build truth tables AND, OR,NOT, NAND, NOR, XOR
learning objectives
Evaluation
criteria
• can explain the logical operations
• can solve logical problems
• can build circuits for logical
operations
3.
Boolean functions derive their name fromthe remarkable English mathematician
George Boole (1815-1864), who first
began to apply mathematical methods in
logic.
4.
conjunctiondisjunction
inversion
exclusive disjunction
5.
Fill the truth tableInput A
Input B
0
0
0
1
1
0
1
1
The truth table reflects the fundamental property
of the AND gate: the output of A AND B is 1 only if
A and B are both 1
Output C
6.
Fill the truth tableInput A
Input B
0
0
0
1
1
0
1
1
The truth table reflects the fundamental property of
the OR gate: the output of A OR B is 1 if at least one
of inputs is equal to 1
Output C
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8.
The NAND gate is an amalgamation of the AND and NOT gates,which inverts the output of the AND gate
Fill the truth table
Input A
Input B
0
0
0
1
1
0
1
1
Output C
9.
Fill the truth tableInput A
Input B
0
0
0
1
1
0
1
1
This gate only produces an output of true when both
inputs are false
Output C
10.
Fill the truth tableInput A
Input B
0
0
0
1
1
0
1
1
Output C
This gate is similar to the OR
gate but excludes the condition
where A and B are both true
11.
Write the Boolean expression for the followingschemes
x
x
y
y
Answer:
xy
xy
xy
12.
Websites for drawing diagramshttps://logic.ly/demo
https://circuitverse.org/simulator
Example: Q= (A*B)+not B
13.
Work in pairsDraw a diagram and fill the truth table to the following expressions
1
4
2
5
3
6
14.
What has been learned?What remained unclear?
What is necessary to work on?