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Binary Units
The smallest unit of data which can be represented on a computer
system is a binary digit or bit.
A bit can have either the value 1 or 0.
1
1
1
1
0
0
0
0
Binary Units
Bits are often represented in groups of 8, known as a byte.
10110101
A collection of 1024 bytes is known as a kilobyte.
Investigate why there are 1024 bytes in a kilobyte instead of 1000.
Binary Units
What comes next? Can you complete the following table?
Unit Value Storage
bit 1 or 0
byte 8 bits Character
Kilobyte
Megabyte
Gigabyte
Terabyte
Petabyte
Exabyte
Zettabyte
Binary Units
What comes next? Can you complete the following table?
Unit Value Storage
bit 1 or 0
byte 8 bits Character
Kilobyte 1024 bytes Half page of text
Megabyte 1024 kilobytes Two minute MP3 file
Gigabyte 1024 Megabytes One hour movie (approx)
Terabyte 1024 Gigabytes 128 DVD movies
Petabyte 1024 Terabytes 7 billion Facebook photos
Exabyte 1024 Petabytes 50,000 years of DVD video
Zettabyte 1024 Exabytes 180 million x Library of Congress
Binary Units
Or…think about rice…
Unit Value
byte 1 grain of rice
Kilobyte Cup of rice
Megabyte 8 bags of rice
Gigabyte 3 container lorries of rice
Terabyte 2 container ships or rice
Petabyte One third of Edinburgh covered in rice
Exabyte Whole of UK covered in rice - 3 times
Zettabyte The entire Pacific Ocean filled with rice
Converting Binary Units
In measurement, we wouldn’t say 13500 cm, we would say 135 metres.
The same applies to computing units.
Converting from a smaller unit to a larger unit requires division e.g.
120 bits = 120 / 8 = 15 bytes
Converting Binary Units
In measurement, we wouldn’t say 13500 cm, we would say 135 metres.
The same applies to computing units.
Converting from a smaller unit to a larger unit requires division e.g.
13345 bytes = 13345 / 1024 = 13.03 kilobytes
Converting Binary Units
In measurement, we wouldn’t say 13500 cm, we would say 135 metres.
The same applies to computing units.
Converting from a smaller unit to a larger unit requires division e.g.
1561235 bytes = 1561235 / 1024 = 1524.64 kilobytes
= 1524.64 / 1024 = 1.489 Megabytes
Converting Binary Units
Converting from a larger unit to a smaller unit requires multiplication
e.g.
3 Terabytes = 3 x 1024 = 3072 Gigabytes
Converting Binary Units
Converting from a larger unit to a smaller unit requires multiplication
e.g.
0.15 Megabytes = 0.15 x 1024 = 153.6 kilobytes
Converting Binary Units
Converting from a larger unit to a smaller unit requires multiplication
e.g.
0.000366 Kilobytes = 0.000366 x 1024 = 0.375 bytes
= 0.375 x 8 = 3 bits

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SD &D Binary Units

  • 1.
  • 2. Binary Units The smallest unit of data which can be represented on a computer system is a binary digit or bit. A bit can have either the value 1 or 0. 1 1 1 1 0 0 0 0
  • 3. Binary Units Bits are often represented in groups of 8, known as a byte. 10110101 A collection of 1024 bytes is known as a kilobyte. Investigate why there are 1024 bytes in a kilobyte instead of 1000.
  • 4. Binary Units What comes next? Can you complete the following table? Unit Value Storage bit 1 or 0 byte 8 bits Character Kilobyte Megabyte Gigabyte Terabyte Petabyte Exabyte Zettabyte
  • 5. Binary Units What comes next? Can you complete the following table? Unit Value Storage bit 1 or 0 byte 8 bits Character Kilobyte 1024 bytes Half page of text Megabyte 1024 kilobytes Two minute MP3 file Gigabyte 1024 Megabytes One hour movie (approx) Terabyte 1024 Gigabytes 128 DVD movies Petabyte 1024 Terabytes 7 billion Facebook photos Exabyte 1024 Petabytes 50,000 years of DVD video Zettabyte 1024 Exabytes 180 million x Library of Congress
  • 6. Binary Units Or…think about rice… Unit Value byte 1 grain of rice Kilobyte Cup of rice Megabyte 8 bags of rice Gigabyte 3 container lorries of rice Terabyte 2 container ships or rice Petabyte One third of Edinburgh covered in rice Exabyte Whole of UK covered in rice - 3 times Zettabyte The entire Pacific Ocean filled with rice
  • 7. Converting Binary Units In measurement, we wouldn’t say 13500 cm, we would say 135 metres. The same applies to computing units. Converting from a smaller unit to a larger unit requires division e.g. 120 bits = 120 / 8 = 15 bytes
  • 8. Converting Binary Units In measurement, we wouldn’t say 13500 cm, we would say 135 metres. The same applies to computing units. Converting from a smaller unit to a larger unit requires division e.g. 13345 bytes = 13345 / 1024 = 13.03 kilobytes
  • 9. Converting Binary Units In measurement, we wouldn’t say 13500 cm, we would say 135 metres. The same applies to computing units. Converting from a smaller unit to a larger unit requires division e.g. 1561235 bytes = 1561235 / 1024 = 1524.64 kilobytes = 1524.64 / 1024 = 1.489 Megabytes
  • 10. Converting Binary Units Converting from a larger unit to a smaller unit requires multiplication e.g. 3 Terabytes = 3 x 1024 = 3072 Gigabytes
  • 11. Converting Binary Units Converting from a larger unit to a smaller unit requires multiplication e.g. 0.15 Megabytes = 0.15 x 1024 = 153.6 kilobytes
  • 12. Converting Binary Units Converting from a larger unit to a smaller unit requires multiplication e.g. 0.000366 Kilobytes = 0.000366 x 1024 = 0.375 bytes = 0.375 x 8 = 3 bits