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MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
NumberSystemsAn Introduction
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Goal
To appreciate the importance ofbinary and hexadecimal number systems
in the computer world.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
RowntreeTheater
computer
Let’s take a little trip
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
RowntreeTheater
computer
H BuildingSwitch
Let’s take a little trip
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
RowntreeTheater
computer
H BuildingSwitch
C BuildingSwitch
Let’s take a little trip
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
RowntreeTheater
computer
H BuildingSwitch
C BuildingSwitch
C BuildingRouter
Let’s take a little trip
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
RowntreeTheater
computer
H BuildingSwitch
C BuildingSwitch
C BuildingRouter
Barrie(Bell)
Let’s take a little trip
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
RowntreeTheater
computer
H BuildingSwitch
C BuildingSwitch
C BuildingRouter
Barrie(Bell)
Let’s take a little trip
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
RowntreeTheater
computer
H BuildingSwitch
C BuildingSwitch
C BuildingRouter
Barrie(Bell)
Toronto(Bell)
Let’s take a little trip
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
RowntreeTheater
computer
H BuildingSwitch
C BuildingSwitch
C BuildingRouter
Barrie(Bell)
Toronto(Bell)
Chicago
Let’s take a little trip
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
RowntreeTheater
computer
H BuildingSwitch
C BuildingSwitch
C BuildingRouter
Barrie(Bell)
Toronto(Bell)
Chicago
Los Angeles
Let’s take a little trip
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
RowntreeTheater
computer
H BuildingSwitch
C BuildingSwitch
C BuildingRouter
Barrie(Bell)
Toronto(Bell)
Chicago
Los Angeles
Manila
Let’s take a little trip
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
RowntreeTheater
computer
H BuildingSwitch
C BuildingSwitch
C BuildingRouter
Barrie(Bell)
Toronto(Bell)
Chicago
Los Angeles
Manila
that’s through undersea cables in the Pacific Ocean
Let’s take a little trip
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
RowntreeTheater
computer
H BuildingSwitch
C BuildingSwitch
C BuildingRouter
Barrie(Bell)
Toronto(Bell)
Chicago
Los Angeles
Manila
Ateneomain router
Let’s take a little trip
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
RowntreeTheater
computer
H BuildingSwitch
C BuildingSwitch
C BuildingRouter
Barrie(Bell)
Toronto(Bell)
Chicago
Los Angeles
Manila
Ateneomain router
Ateneoserver room
switch
Let’s take a little trip
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
RowntreeTheater
computer
H BuildingSwitch
C BuildingSwitch
C BuildingRouter
Barrie(Bell)
Toronto(Bell)
Chicago
Los Angeles
Manila
Ateneomain router
Ateneoserver room
switch Ateneowwwserver
Let’s take a little trip
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
RowntreeTheater
computer
H BuildingSwitch
C BuildingSwitch
C BuildingRouter
Barrie(Bell)
Toronto(Bell)
Chicago
Los Angeles
Manila
Ateneomain router
Ateneoserver room
switch Ateneowwwserver
Let’s take a little trip
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
RowntreeTheater
computer
H BuildingSwitch
C BuildingSwitch
C BuildingRouter
Barrie(Bell)
Toronto(Bell)
Chicago
Los Angeles
Manila
Ateneomain router
Ateneoserver room
switch Ateneowwwserver
Let’s take a little trip
All the “conversations” done ina matter of seconds.
With data travelling at thespeed of light.
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Let’s take a little tripRowntreeTheater
computer
H BuildingSwitch
C BuildingSwitch
C BuildingRouter
Barrie(Bell)
Toronto(Bell)
Chicago
Los Angeles
Manila
Ateneomain router
Ateneoserver room
switch Ateneowwwserver
Request
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Let’s take a little tripRowntreeTheater
computer
H BuildingSwitch
C BuildingSwitch
C BuildingRouter
Barrie(Bell)
Toronto(Bell)
Chicago
Los Angeles
Manila
Ateneomain router
Ateneoserver room
switch Ateneowwwserver
Request
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Let’s take a little tripRowntreeTheater
computer
H BuildingSwitch
C BuildingSwitch
C BuildingRouter
Barrie(Bell)
Toronto(Bell)
Chicago
Los Angeles
Manila
Ateneomain router
Ateneoserver room
switch Ateneowwwserver
Response
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Let’s take a little tripRowntreeTheater
computer
H BuildingSwitch
C BuildingSwitch
C BuildingRouter
Barrie(Bell)
Toronto(Bell)
Chicago
Los Angeles
Manila
Ateneomain router
Ateneoserver room
switch Ateneowwwserver
Response
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Let’s take a little tripRowntreeTheater
computer
H BuildingSwitch
C BuildingSwitch
C BuildingRouter
Barrie(Bell)
Toronto(Bell)
Chicago
Los Angeles
Manila
Ateneomain router
Ateneoserver room
switch Ateneowwwserver
“Conversations” are encodedas digital signals (binary) for travelacross wires and through the air.
Response
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Let’s take a little tripRowntreeTheater
computer
H BuildingSwitch
C BuildingSwitch
C BuildingRouter
Barrie(Bell)
Toronto(Bell)
Chicago
Los Angeles
Manila
Ateneomain router
Ateneoserver room
switch Ateneowwwserver
And what’s amazing is thatdata reaches us intact and
with no errors (most of the time).
10110100
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Let’s take a little tripRowntreeTheater
computer
H BuildingSwitch
C BuildingSwitch
C BuildingRouter
Barrie(Bell)
Toronto(Bell)
Chicago
Los Angeles
Manila
Ateneomain router
Ateneoserver room
switch Ateneowwwserver
And what’s amazing is thatdata reaches us intact and
with no errors (most of the time).
11101011
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Pictures are stored as bits
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Songs are stored as bits
MATH1003
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary, Decimal, Hexadecimal
Binary is the language of the computer.Decimal is the human number system.Hexadecimal is used to bridge the two.
