Transcript Computers
Chapter 3
Data Storage
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Learning outcomes
By the end of this Chapter you will know:
•
•
•
•
•
The difference between electronic, magnetic and
optical memory
How data are stored in these types memories
The main memory is made up of logic gates
The main memory is organised in terms of cells and
addresses
memory terms:
•
How the address decoder works
• Memory capacity, access time, transfer rate, etc …
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Additional Reading
Essential Reading
•
Stalling (2003): Chapters 5 and 6
Further Reading
•
•
•
•
Burrell (2004): Chapters 3 and 7
Schneider and Gersting (2004): Chapters 4 and 5
Tanenbaum (1990): Chapter 3
White (2002): Parts 3 and 4.
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Introduction (1)
Information can be stored in different ways:
•
•
•
Books,
Films
Paintings,
It is not information if it could not used
Information in computers must be able to able to be
processed by computers:
•
•
Information must be represented in appropriate format
Information must be stored in appropriate places
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Introduction (2)
Breakthrough:
•
•
The use of the binary system (Base 2)
In the binary system:
• There is only two types of values, 1s and 0s.
• It is easy to store binary information/data in physical
media
• It is also easy to process binary information
Different type of media storage
•
•
•
Electronic memory (main memory)
Magnetic memory
optical memory
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Media Storage
Main memory (Electronic Memory):
Secondary Memory
• Stores data currently being used
• Is made of semiconductor chips.
• magnetic (floppy discs, hard disc )
• Optical (CD-ROM, DVD)
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Main Memory (Electronic Memory)
Main memory stores data which are currently used by the
CPU.
•
To run a program, it is first loaded in the main memory
Main Memory is volatile
•
•
Its content changes frequently
Data is lost when the power is off
It is also called electronic memory
•
•
Based on electronic principles.
Formed with logic gates
•
Group of transistors
Cells
•
Sequence of one-bit memories
Addresses
•
Each cell has a unique address
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The physical principles of electronic
memory
Transistor
• The smallest unit of an electronic
memory
Logic Gates
Flip-Flops
• Groups of transistors
• Special type of circuit
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Logic Gates (2)
AND
NOT
OR
¬ a.
a b a.b
a b a.b
a
00
01
10
11
00
01
10
11
0 1
1 0
0
0
0
1
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0
1
1
1
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Logic Gates (3)
NAND
XOR
NOR
a b a.b
00
01
10
11
1
1
1
0
a b a.b
a b a.b
00
01
10
11
00
01
10
11
1
0
0
0
0
1
1
0
• For more details see
•Schneider and Gersting (2004: 155-177)
•Burrell (2004: 43-62)
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Flip-Flop circuits
Up to now the output of combinational circuits
depends solely up the input
Combinational circuits has no memory
To build a sophisticated digital signal circuits,
memory, we need:
• We need circuits whose output depends upon both the
•
input of the circuit and its previous states.
In other words, we need circuit that have memory.
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A Simple Flip-flop Circuit
•
•
•
•
As long as both inputs remain 0: output does not change
Temporarily placing 1 on upper input => output = 1
Temporarily placing 1 on lower input => output = 0
So: output flip-flops between 2 values under external control
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Setting the Output of a Flip-flop
to 1
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Setting the Output of a Flip-flop
to 1 (cont’d)
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Setting the Output of a Flip-flop
to 1 (cont’d)
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Controlled Flip-Flop
• If control = 0 the the flip-flop does not change the state
• If control = 1, then if D=0 then Q =1 else Q = 0
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Clocked SR flip-flop
•
If CP = 0 the output of both AND gates is 0.
• Regardless of the values of S and R.
•If S=R=CP=1, then both outputs are set to 0
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Main Memory
Large collection of circuits, each capable of storing a single bit
Arranged in small cells, typically of 8 bits each (a.k.a.: byte)
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Arrangement of Memory Cells
Each cell has a unique address
Longer strings stored by using
consecutive cells
value = 01101101
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RAM (random access
memory)
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One-bit Memory
Q
D
CP
•To write a datum (0 or 1) to this memory
•send data to D, and at the same time
•send a WRITE signal to CP
•To read a datum from this memory
•connect to Q by sending a READ signal
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Main memory = linking many flip-flops
See Burrell (2004: 111-112) and Tanenbaum (1990: 105-109)
t
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Memory cells
n-bit cell
Can hold
m*n bits
m cells
In reality, most electronic memories have 8-bit cells.
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Accessing Data in the Main
Memory
Instructions and data are stored in the main memory in a serial
order.
CPU executes instructions one by one top down.
An instruction may tell the CPU
•
•
to jump to particular cell and execute the instruction held in it,
or fetch the data stored is that cell.
How is this done?
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System Bus
Main memory and CPU are linked using a set of wire:
•
•
Three wires:
•
•
•
address lines,
data lines and
control lines.
Known as
•
•
•
address bus,
data bus and
control bus.
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System bus
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CPU
Main
memory
Add. bus
Data bus
Control bus
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To read data from each
cell
To issue read or write
signal
To identify each memory
cell
CPU
Main
memory
Add. bus
Data bus
Control bus
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Address Bus
Address
Of the cell
To activated
CPU
Main
memory
Address
Of the cell
To activated
Address bus
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Binary Address Representation
Each cell has a unique address.
I.e. using 4 digit binary representation we have:
0000 cell 0
0001
cell 1
0010
cell 2
0100
cell 3
How many bits are needed to represent an address?
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Address Decoder
Address
Of the cell
To activated
Unique cell
Has a unique
Address.
CPU
Main
memory
Decoder
Address bus
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A Simple Address Decoder
Q0 00 C0
2 ad-lines
A1
A0
Q1 01 C1
Q2 10 C2
22 = 4 address
cells
Q3 11 C3
Decoder is a device between the Main Memory and
the address lines.
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Decoder with N Address Lines
Main Memory
a0
a1
0000…0000
0000…0001
0000…0010
2n
add
cell
n add.
lines
an-1
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1111…1111
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Main Memory with 4 Chips
decoder
Main memory
a0
a1.
.
.
.
.
.
.
aN-1
Chip 1
Chip 2
Chip 3
Chip 4
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The higher 2 bits of
Address line to select
The chip.
a n-1
0
0
0
0
1
1
1
1
a n-2
0
0
1
1
0
0
1
1
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…..………..a0
0………….. 0
1………….. 1
0………….. 0
1………….. 1
0………….. 0
1………….. 1
0………….. 0
1………….. 1
CChip 1
h
i
Chip 2
p
1Chip 3
Chip 4
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Multiplexer
Cells form rows and columns.
Each cell can be identified by a row
address and column address.
Each cells address uses only n/2
address lines.
This can be done using a multiplixed
addresses.
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Decoder with 4 Address Lines
(non-multiplexed addresses)
0000
0001
0010
0011
0100
0101
0110
0111
1000
1001
1010
1011
1100
1101
1110
1111
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Decoder with 2 Address Lines
(multiplexed addresses)
00
01
10
11
00
0000
0001
0010
0011
01
0100
0101
0110
0111
10
1000
1001
1010
1011
11
1100
1101
1110
1111
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Two-Input Multiplexer
A multiplexer is an electronic device that
allows multiple logical signals to be
transmitted simultaneously across a
single physical channel (address line).
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Example 1
Suppose computer’s Main Memory is linked to
a decoder with 8 address lines.
1.
2.
3.
Can 1000 memory cells be used?
If no what is the maximum number of addresses that can
generated?
What is the maximum number of addresses that can be
generated is multiplexed addresses are used?
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Answer
Suppose computer’s Main Memory is linked to a decoder with 8
address lines.
1.
Can 1000 memory cells be used?
2.
If no what is the maximum number of addresses that can generated?
Answer:
1. NO
2. With 8 address lines, the maximum number of addresses
3.
is 28=256
22*8 = 216
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Example 2
Suppose that a computer’s Main Memory has
1013 cells.
How many address lines are needed in order for
all the cells to be useable? Explain your answer.
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Answer
Suppose that a computer’s Main Memory has 1013 cells. How many
address lines are needed in order for all the cells to be useable? Explain
your answer.
Answer:
•
•
•
•
•
With N address lines a computer can have a maximum 2N usable cells. 29 =
512, 210 = 1024.
9 address lines would not generate enough addresses for 1013 cells to be
used. 10 address lines would.
Having more than 10 address lines would lead to too many addresses
wasted. So the desired number of address lines is 10.
N = ⌈log2(1050)⌉ can be used to find the number of address lines.
If multiplexed addresses is used, then 5 address lines would be sufficient
for 1013 cells to be useable.
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What does a word mean?
A word is the length of instructions the CPU
can execute at one time.
Some processor can handle 8-bit words others
16-bit, 32-bit, 64-bit.
A cell does not necessarily store one word.
A word can occupy more than one cell.
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Address Space
The address space of a computer is the maximum
number of cells a computer can hold.
The address space is determined by the number of
address lines used in a computer.
If each cell in a memory is 8-bit, then the memory is
called byte addressable: 1 byte long has a unique
address
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Features of the Main Memory
Memory Capacity.
Access of information
Access time
Transfer rate
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Memory Capacity
Most computer’s memory have 8-bit (1-byte)
cells.
In this case we have:
Address lines
No of cells
Capacity (byte)
n
2n
2n x 1
32KB, 256MB and 20GB are used to describe
the memory capacity.
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Capacity Units
1kB = 210 = 1024 Byte.
1MB =1024 KB = 220 Bytes= 1, 048,576 B.
1GB =1024 MB = 230 kB=1, 073,741,824 Bytes.
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Access Time
Access time is taken between the moment
when the CPU wants the read/write from/into
a cell and the moment when the cell is
activated.
It is the moment that the CPU takes to activate
a cell.
60ns (10-9 sec)
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Transfer Rate
Is the amount of information per second exchanged
between the CPU and main memory.
If the CPU can read n cells in a second and each cell has
m bytes then transfer rate is n*m (bytes/s)
Main memory
• electronic signals
• Implies fast transfer rate in the scale about 100MB/sec
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Random Access
If the CPU wants to activate particular
cell.
• It does not search for the target cell from top
•
•
to bottom.
It does put the address of the target cell in
the address line, then the cell will be
activated.
This type of accessing information is called
Random Access
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The need for other type of
memories.
Main memory
• Fast as all the exchange between CPU and
•
Main memory is done electronically.
However, it is volatile.
• Information lost when the machine is turned off.
• The need for non-volatile memory:
• Hold information when the machine is off.
• i.e. Magnetic disk, optical disk, magnetic tape
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Magnetic Memory
Another way of storing information in the binary framework.
Magnetic memory contains a number of spots.
The information is stored by magnetising and demagnetising
these spots.
• Magnetised spot 1
• unmagnetised spot 0
• i.e. floppy disk
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A Magnetic Disk Storage
System
• Each track contains same number of sectors
• Location of tracks and sectors not permanent (formatting)
• Examples: hard disks, floppy disks, ...
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Magnetic Disk Terminology
Platter:
•
•
rigid metal or glass platter Coated with magnetic material.
rotating at constant angular velocity
Arm:
•
With movable magnetic read/write heads
Track:
•
•
A complete ring of data
The disk surface is divided into tracks
Sectors:
•
Each track is subdivided into sectors
Cylinder (see slides 71-72):
•
A vertical collection of tracks at the same radial position
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Data Organization and
Formatting
Concentric rings or tracks
• Gaps between tracks
• Reduce gap to increase capacity
• Same number of bits per track (variable packing
density)
• Constant angular velocity
Tracks divided into sectors
•
•
•
Minimum block size is one sector
May have more than one sector per block
See Stalling (2003) pages:167-168
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Disk Data Layout
spots
sector
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Magnetic Disks
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Magnetic Disks
Thus as the platter rotates under the head, a stream of bits
can be written and later read back.
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Read/write Head
Coil of wire
Iron former
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A coil of wire wound onto an iron former.
gap.
If a spot on the magnetic memory passes
under the gap then an electrical current is
induced in the coil. And the read/write head
will know that there is a 1 stored on that
spot. Otherwise it is 0.
By passing an electric current on the wire
we can magnetise and demagnetise spots.
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Read and Write Mechanism (1)
Recording and retrieval via conductive coil called a head
May be single read/write head or separate ones
During read/write, head is stationary, platter rotates
Write
•
•
•
Electric Current through coil of wire produces magnetic field
Magnetic Pulses sent to the head
Magnetic pattern recorded on surface below
Read
•
•
Magnetised bit pattern
•
•
Magnetic field induces an electrical current in the coil
The bit pattern contains 1
Demagnetised bit pattern
•
•
No Magnetic field induced, hence, no electrical current in the coil
The bit pattern contains 0
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Read and Write Mechanism (2)
1
CPU
01010
Add. bus
01010
1
Data bus
1
Control bus
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Fixed/Movable Head Disk
Fixed head
Movable head
• One read/write head per track
• Heads mounted on fixed ridged arm
• One read/write head per side
• Mounted on a movable arm
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Access Information on a Floppy
disk
To access information on a floppy:
Head moves to the target track.
waits for the desired sector to spin underneath it
read/write begins.
• Track number, and
• Sector number.
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Seek time and average seek
time
Seek time:
•
is the time it takes, the read/write head to move from
one track to a particular track on a disk
Average seek time:
•
is the average of seek time between every pair of
tracks.
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Example
A disk has 5 tracks and the read/write head
takes 1ms to move from a track to an adjacent
one
•
•
1-2:1ms, 1-3:2ms, 1-4:3ms, 1-5:4ms,
2-3:1ms,
2-4:2ms, 2-5:3ms, 3-4:1ms,
3-5:2ms, 4-5:1ms
Average seek time: 20/10= 2ms.
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Average latency
Average latency :
Example:
• is the time taken to make half a revolution.
• Disk rotates at a speed of 100 rev/sec
• Average latency is:
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Maximum data transfer rate
It is the rate at which data passes under
the read/write head (bytes/sec).
• Number of bytes / track
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* Number of rev / sec
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Constant Angulair Velocity (CAV)
Variable
density
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Multiple Platter (hard disk)
Permanent storage that is inside of
the computer, and NOT portable.
Consists of several platters which
spin very fast
Heads are joined and aligned
Aligned tracks on each platter form
cylinders
Data is striped by cylinder
•
•
reduces head movement
Increases speed (transfer rate)
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Multiple Platters (2)
• Disk platters speed (3600 to 10 000 rpm
(rev/min).
•floppy (360rpm).
•The read data we need to specify cylinder,
head, and sector numbers.
Each cylinder represents a track number.
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Cylinders
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Magnetic Tape (1)
Serial access
Slow
Very cheap
High capacity
Backup
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Magnetic tape (2)
• Serial access (slow)
• Good choice for off-line data storage (archives)
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Magnetic Tape
column
R/W head
Blocks of data
Track 1
Track 2
Track 9
A magnetic tape is a series of columns.
Each column can store a word or two.
Tapes offer a large storage capacity for backup.
See Stalling (2003) pages:189-190.
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Features of Magnetic Memory
Memory capacity:
Floppy can hold 700KB – 120MB.
Hard disk can hold dozen of GB, 10, 20,..
Tapes can hold 100MB- 80GB.
Access method
• Floppy and hard disks is random as the main memory
• Tape is serial
Access time:
• It is the average time taken to position the R/W head over
the data to be read
• For disk drives is about 10-3 sec when in MM 10-9 sec.
Transfer rate: is slower. It is the transfer of data between MM
and Mag/M. Floppy (500kB-2MB) and hard disc (4-12MB).
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Optical Storage CD-ROM
Originally for audio
650 Mbytes giving over 70 minutes audio
Polycarbonate coated with highly reflective coat, usually
aluminium
Data stored as pits
Read by reflecting laser
Constant packing density (data/surface= constant)
•
•
More data in outer edges
Less data towards the centre of the disc
Constant linear velocity
•
The drive must adjust the disc speed (495 to 212 rev/m) edges
• Faster when reading data closer to the centre
• Slower when reading data in outer edges
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CD-ROMs
In recent years, optical (as opposed to magnetic) disks
have become available.
They have much higher recording densities than
conventional magnetic disks.
Optical disks were originally developed for recording
television programs, but they can be put to more esthetic
use as computer storage devices.
Due to their potentially enormous capacity, optical disks
have been the subject of a great deal of research and have
gone through an incredibly rapid evolution.
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Optical Storage – CD-ROM
Is a disc with highly reflective surface.
Tiny areas flat and depressed:
• Flat (land) strong reflection.
• Depressed (pits) low reflection.
Laser landstrong reflectionphoto-sensor generates
electrical voltagestore 1s.
• Laser: (light Amplification stimulated emission of
radiation).
Lightpitslow reflection no electrical voltage
stores 0s.
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CD-ROM Operation
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Laser
•Monochromatic light (single wave length)
• Coherent (photons move in the same direction)
• Directional (very tight beam, strong concentrated)
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CD/DVD Storage Format
•
•
•
•
Data stored by creating variations in the reflective surface
Data retrieved by means of a laser beam
Data stored uniformly (so CD rotation speed varies)
Random access much slower than for magnetic disks
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The pits and lands are written in a single continuous spiral starting near
the hole and working out a distance of 32 mm toward the edge.
The spiral makes 22,188 revolutions around the disk (about 600 per
mm). If unwound, it would be 5.6 km long.
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Constant linear velocity
sector
Constante
density
rev/m
centre
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edges
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Random Access on
CD-ROM
Difficult
Move head to the right position
Set correct speed
Read address
Adjust to required location
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head
Read and Write Mechanism (1)
1
CPU
Head
01010
Add. bus
01010
1
Data bus
1
Control bus
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CD-ROM for & against
Large capacity
Easy to mass produce
Removable
Expensive for small runs
Slow
Read only
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Other Optical Storage
CD-Recordable (CD-R)
CD-RW
• WORM(write once read many)
• Compatible with CD-ROM drives
• Erasable
• Mostly CD-ROM drive compatible
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DVD - what’s in a name?
Digital Video Disk
• Used to indicate a player for movies
• Only plays video disks
Digital Versatile Disk
• Used to indicate a computer drive
• Will read computer disks and play video disks
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DVD - technology
Multi-layer
Very high capacity (4.7GB per layer)
Full length movie on a single disk
• Using MPEG (Moving Picture Expert Group)
compression
• Digital Compression of audio and video signals.
• MPEG achieves high compression rate by
storing only changes from one frame to
another, instead of each entire frame.
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Summary
Main memory
•
•
•
•
RAM
Low storage capacity
Fast (electrical signals)
Volatile.
Magnetic memory
•
•
•
Floppy disk
Hard disk
Magnetic tape
Optical memory
•
•
CD_ROM disk
DVD
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