Introduction to computing technologies and boolean logic (week 1 level 0)

What is a computer

What makes a computer?

A computer is made up of a set of intergraded circuits

What is a integrated circuit made up of?

A integrated is made up of millions or even billions of logic gates

What makes logic gate?

A logic gate is made up of at least 2 transistors

Name some components of a PC
  • CPU
  • GPU
  • RAM
  • Some form of secondary storage
  • Motherboard

Binary

Is the a circuit just on or off?

No,

it is a range of voltages, so for example a voltage above 1V maybe interpreted as on, and below 0.5V maybe off

What is the margin of error?

This is the point between the voltage that represents on or off, the voltage is ambiguous

What voltage tends to be 0 and 1?

1v to 1.5v = 1

0v to 0.5v = 0

in-between is not permitted

Transistors & gates

Draw a transistor?

The collector is connected to -v

The Base is like a input

The emitter is like a output

Draw the logic table of a transistor

Base Emitter


1 1

0 0

What are the 3 states of a transistor?
  • Off
  • On (active)
  • On (saturated)
When would you use a saturated transistor?

You would use a saturated transistor in digital electronics

When would you use a active transistor?

You would use a active transistor in amplification

What is a gate made up of?

Multiple transistors

Draw NOT NAND NOR gates with transistors

Boolean logic

Who invented boolean logic?

George Boole

What is an inversion bubble?

This is group of inputs that have been negated

What is boolean logic used for?

It is used for manipulating 1s and 0s in a similar way to algebra

What do logic circuits do?

They manipulate and store these values

What do boolean expressions help us do?

They help us to design and express logic in a circuit

important!

Name all the gates

for each draw the logic diagram and the symbol

AND

Represented by a multiplication * or . or A(B)

OR

Represented with a +

NOT

represented with line over the expression

NAND
NOR
XOR

XNOR

=