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Logic Gates and Truth table

First Lesson: Three logic gate operatorsAND, OR and NOT
by

Sue Edgar

on 9 June 2014

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Transcript of Logic Gates and Truth table

Logic Operators, Truth Tables and Logic Gates
Starter Activity

Jig Saw Puzzle
Learning objectives


All must be able to name the three basic logic gates

Some should be able to use the truth table to work out the output of possible combinations

Some could discuss a statement which negates an output value.
Call register
What are logic gates
What is a Truth Table
Why are Truth tables used
Answers

A truth table shows how a logic circuit's output responds to various combination of the input

A logic gate is the basic block of digital circuits. It determines how data is converted inside the computer
Statements
A statement is a sentence which has a declarative
meaning. That means th
e
statement can only be
either
true or false

Give examples of statements

Indigo is a colour in the rainbow
Fish can swim
Cars have wheels
The
three basic
logic gates operators
What is a statement
Research Questions
To help with calculations.

To help plan the layout of a special type of electrical circuitry/digital circuits.

To minimise cost.
To test statements
Truth table
(logic use letters to represent statements
in this case we are using P & Q)
Unique possible combinations (on or off, 0s and 1s)
"AND" -
P
Q
P Q
T
T
T
T
F
F
F
T
F
F
F
F
Possible input combinations for
"OR" truth table
P
Q
P
OR -
Q
T
T
T
F
F
T
F
F
F
T
T
T
Unique combination for the "Not"
Logic gates
Not -
P
P
T
F
F
T
QUIZ
What symbol is used for the "Not" logic gate?


What symbol is used the "AND" logic gate?

Which logic gate does this symbol represent? V

What is a statement?

Answer A or B


In the truth table:

A.
Is it many input combinations to get the result of one out put? Or

B.
Many output combinations to get one input
Homework





Name and draw the symbols for four other logic gates.

Due date February 2013
Opposite of the statement
(Conjunction)
(Negation)
(Disjunction statement)
Three types of logic circuits
D-Type Frequency Divider

Programmable Inverter

Edge triggered RS Flipflop
Watch video
Using "Not" transistor circuit

http://www.neuroproductions.be/logic-lab/
Simulation of logic gates
Logic Gates
Design a leaflet explaining
about logic gates. The leaflet must include:

The truth table for "NOT", "AND", "OR"

The symbol for each of the above

Give reason why the truth table is used.
Learning Outcomes

All MUST able to simulate a combination using the online tutorial

Most s SHOULD: Explain the use of logic gates in engineering (leaflet)

Some COULD: Create multiple combination of input using the simulator
Watch how logic gates are used in circuits
Truth tables and logic
gates
What is the purpose of truth tables in engineering

How truth tables help in constructing digital circuitry

How truth tables and logic gates help when designing digital circuitry.

what is a digital circuit
Starter Activity
Match the internal component
Learning objectives
All must know the 3 basic logic gate operators.



Most should be able to utilise the Truth Table to work-out the output of given inputs.



Some could explain the use of Truth Tables for working-out the output of an input combination.
Logic gate operators act like gatekeepers.

Logic gate operators allow or dis-allow an electrical current in a circuit.
(In binary what does that mean?)

Logic gates are used to calculate an output depending on the combination of inputs.

Truth tables have of all the possible combinations for logic gate operators.
Example of a circuit
.
AND
NOT
OR
Logic gates
Truth tables
Truth tables contain the unique combinations for all the logic gate operators.
In this lesson we are looking at the basic 3 logic gates.
Starter Activity
Match the Internal Components
of a computer to the correct label.
Logic Gates
What are statements
Logic gates test statements giving the result to be either true or false
Logic gates' values are represented in Truth Tables.


In put

There are colours in the rainbow.

Ducks can swim.

The prime minister attended Kingford School.

Sunday is the first day of the week.
OutPut
yes
yes
yes
No
Plenary
What is the name of this logic gate?
Homework
Find other logic gates
End of lesson
What information truth tables contain?
How many values a statement have?
What makes the decision to allow or dis-allow current to pass through a certain point in circuits.
Demonstrating how the 3 basic logic gates work using volunteers
Call Register
Class Activity: Search Online
for the following:
What are logic gates?

What are Truth Tables?

What is a statement?
A statement is a meaning which has
only two values. It can either be true or false
Convert this table to Binary.
Convert this table to binary
Convert this table to binary
Watch video: Truth tables for
AND, OR and NOT logic gates
Full transcript