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Logic Gates lesson 1 Flipbook PDF

Logic Gates lesson 1


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Logic Statements

Classroom Expectations No Talking

No Calling Out

No Standing

Eyes on Screen

P – Professional P – Polite P – Punctual

Lesson Objective  All can identify and the different logic statements  Most can complete Truth Tables to show the result of different logic statements

 Some can identify different logic gates

Logic Statement (True or False)  Logic in computers has 2 values  These are TRUE (1) and FALSE (0).

 A logic statement or question will always have one of these answers

Starter Activity 1 (True or False) For each of the statements below, decide whether the answer will be True (1) or False (0) Condition It is January Today is Friday Today is Not Monday It is March

True or False?

Boolean Logic  Boolean Logic combines different Logic statements but always gives and answer that is TRUE or FALSE

 Boolean Logic uses operators (just like in maths)  Three of the most common Boolean Operators are: AND, OR and NOT

We can use Boolean operators to put together more complicated logic statements and tests For Example:

 It is March AND it has been raining  You can serve coffee black OR white  Out is the same as NOT in

Activity 2 (use 1 or 0) For the statements below, use 1 for True and 0 for False- there is more then on condition to check Condition A

Condition B

Today is Easter

It is January

Today is not Friday

It is March

Today is School day

It is February

Today is Friday

It is March

True or False?

True or False?

A

B

A & B are True

1

1

1

Activity 3 • On your worksheet, write a statement using each of the operators Make sure the statement can be answer TRUE or FALSE! AND. __________________________________________________________ OR. __________________________________________________________ NOT. __________________________________________________________

How do Computers use Logic?  A computer consist of millions with circuits, each of which can be ON or OFF  A computer does different tasks by turning different circuits ON or OFF  There are millions of combinations of circuits that can be triggered, and the computer uses Logic to decide what different combinations mean

Light Circuit • Looking at the simple light circuit below: • If the switch is open or OFF, the light is off • If the switch is closed or ON, the light is on

Truth Table  There can be multiple switches in a circuit and the end result can be different depending in which switches are ON and which are OFF

 We record the results in a tabular format called TRUTH TABLE  Using our light circuit as example, we can see that the switch can be on or off and the bulb can be on or off.

Truth Table A

Q

ON

ON

 The table shows the different values for the switch (A) and the bulb (Q)  If the switch is ON, the bulb is ON

Truth Table A

Q

ON

ON

OFF

OFF

 The table shows the different values for the switch (A) and the bulb (Q)  If the switch is ON, the bulb is ON  If the switch is OFF the bulb is OFF

AND Circuit  Sometimes a circuit could have more than one switch  In this circuit both switches must be ON for the bulb to be ON

Activity 4 – AND Circuit  On your worksheet, complete the truth table for this circuit

 Remember: Switch ‘A’ AND Switch ‘B’ have to be ON for the bulb to glow

 Think about the different combinations of ON and OFF for the switches

A

B

OFF

OFF

Q

OR Circuit  This circuit also has two switches  They run in Parallel though  This means that only one must be ON for the bulb to glow

Activity 5 – OR Circuit  On your worksheet, complete the truth table for this circuit

 Remember: Switch ‘A’ OR Switch ‘B’ must be ON for the bulb to glow

 Think about the different combinations of ON and OFF for the switches

A

B

OFF

OFF

Q

What is Logic Gate ?  When we draw an electronic circuit we don't actually draw pictures of batteries, switchs and bulbs

 In a electronic, each of these circuits we have looked at, is called a Logic GATE  Each Logic Gate has its own special symbol  Each Logic Gate has a truth table that can show how the GATE works

Logic Gate Symbols

AND Logic Gate  The AND Gate, has at least two inputs  The output is TRUE when ALL of the input conditions are TRUE.  Out is equal to A AND B

A 0 0 1 1

B 0 1 0 1

Out (A and B) 0 0 0 1

Truth Table

OR Logic Gate  The OR Gate, has at least two inputs  The output is TRUE when one OR more of the input conditions are TRUE  Out is equal to A OR B

A 0 0 1 1

B 0 1 0 1 Truth Table

Out (A or B) 0 1 1 1

NOT Logic Gate  Imagine a circuit which worked the opposite way to the way you would expect  When the switch Is ON the light is OFF  When the switch is OFF the light is ON A 0 1 Truth Table

Out 1 0

Plenary • What we learned • What are logic statements • What is Truth Table • Symbols of basic Logic Gates

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