The document discusses binary and hexadecimal number systems and their importance in computers. It describes a journey taken through different components of a computer network, including a theater, various buildings, switches, routers, and connections to other cities. The goal is to appreciate the role of these number systems in representing information transmitted through the network.

1. 1.4
10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Number
Systems
MATH1003

2. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Goal
To appreciate the importance of
binary and hexadecimal number systems
in the computer world.
MATH1003

3. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Let’s take a little trip Rowntree
Theater
computer
MATH1003

4. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Let’s take a little trip Rowntree
Theater
computer
H Building
Switch
MATH1003

5. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Let’s take a little trip Rowntree
Theater
computer
C Building
Switch
H Building
Switch
MATH1003

6. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Let’s take a little trip Rowntree
Theater
computer
C Building
Switch
H Building
Switch
C Building
Router
MATH1003

7. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Let’s take a little trip Rowntree
Theater
computer
C Building
Switch
Barrie H Building
(Bell) Switch
C Building
Router
MATH1003

8. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Let’s take a little trip Rowntree
Theater
computer
C Building
Switch
Barrie H Building
(Bell) Switch
C Building
Router
Toronto
(Bell)
MATH1003

9. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Let’s take a little trip Rowntree
Theater
computer
C Building
Switch
Barrie H Building
(Bell) Switch
C Building
Router
Toronto
(Bell)
Chicago
MATH1003

10. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Let’s take a little trip Rowntree
Theater
computer
C Building
Switch
Barrie H Building
(Bell) Switch
C Building
Router
Toronto
(Bell)
Chicago
Los Angeles
MATH1003

11. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Let’s take a little trip Rowntree
Theater
computer
C Building
Switch
Barrie H Building
(Bell) Switch
that’s through C Building
undersea cables in Router
the Pacific Ocean Toronto
Manila (Bell)
Chicago
Los Angeles
MATH1003

12. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Let’s take a little trip Rowntree
Theater
computer
C Building
Switch
Barrie H Building
(Bell) Switch
C Building
Router
Toronto
Manila (Bell)
Chicago
Los Angeles
Ateneo
main router
MATH1003

13. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Let’s take a little trip Rowntree
Theater
computer
C Building
Switch
Barrie H Building
(Bell) Switch
C Building
Router
Toronto
Manila (Bell)
Chicago
Los Angeles
Ateneo
main router
Ateneo
server room
switch
MATH1003

14. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Let’s take a little trip Rowntree
Theater
computer
C Building
Switch
Barrie H Building
(Bell) Switch
C Building
Router
Toronto
Manila (Bell)
Chicago
Los Angeles
Ateneo
main router All the “conversations” done in
Ateneo
a matter of seconds.
server room
switch Ateneo
With data travelling at the
www
server
speed of light.
MATH1003

15. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Let’s take a little trip Rowntree
Request
Theater
computer
C Building
Switch
Barrie H Building
(Bell) Switch
C Building
Router
Toronto
Manila (Bell)
Chicago
Los Angeles
Ateneo
main router
Ateneo
server room
switch Ateneo
www
server
MATH1003

16. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Let’s take a little trip Rowntree
Theater
computer
C Building
Switch
Barrie H Building
(Bell) Switch
C Building
Router
Toronto
Manila (Bell)
Chicago
Los Angeles
Ateneo
main router
“Conversations” are encoded
Ateneo
server room
as digital signals (binary) for travel
switch Ateneo
Response
www
across wires and through the air.
server
MATH1003

17. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Let’s take a little trip Rowntree
10110100
Theater
computer
C Building
Switch
Barrie H Building
(Bell) Switch
C Building
Router
Toronto
Manila (Bell)
Chicago
Los Angeles
Ateneo
main router
And what’s amazing is that
Ateneo
server room
data reaches us intact and
switch Ateneo
11101011
www
with no errors (most of the time).
server
MATH1003

18. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
MATH1003

19. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
MATH1003

20. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Pictures are stored as bits
MATH1003

21. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Songs are stored as bits
MATH1003

22. 10110100101011010100101010111010101111011011101111011101110111101110111011110111111010110100101011110110110101111011010100111111011010100110101001
Binary, Decimal,
Hexadecimal
Binary is the language of the computer.
Decimal is the human number system.
Hexadecimal is used to bridge the two.
MATH1003