Binary Powers of 10

 

.

Bytes

Bits

.

Deviation from 10^x

1 bit =
1 byte =
1 kilobyte =
1 megabyte =
1 gigabyte =
1 terabyte =
1 petabyte =
1 exabyte =
1 zettabyte =
1 yottabyte =
1 ?1byte =
1 ?2byte =
1 ?3byte =

.125 byte. =
1 byte
. =
1,024 bytes =
1,048,576 bytes =
1,073,741,824 bytes =
1,099,511,627,776 bytes =
1,125,899,906,842,624 bytes =
1,152,921,504,606,846,976 bytes =
1,180,591,620,717,411,303,424 bytes =
1,208,925,819,614,629,174,706,176 bytes =
1,237,940,039,285,380,274,899,124,224 bytes =
1,267,650,600,228,229,401,496,703,205,376 bytes =
1,298,074,214,633,706,907,132,624,082,305,024 bytes =

1 bit.
8 bits
8,192 bits
8,388,608 bits
8,589,934,592 bits
8,796,093,022,208 bits
9,007,199,254,740,992 bits
9,223,372,036,854,775,808 bits
9,444,732,965,739,290,427,392 bits
9,671,406,556,917,033,397,649,408 bits
9,903,520,314,283,042,199,192,993,792 bits
10,141,204,801,825,835,211,973,625,643,008 bits
10,384,593,717,069,655,257,060,992,658,440,192 bits

.
x
3
6
9
12
15
18
21
24
27
30
33

.
.

24
48,576
73,741,824
99,511,627,776
125,899,906,842,624
152,921,504,606,846,976
180,591,620,717,411,303,424
208,925,819,614,629,174,706,176
237,940,039,285,380,274,899,124,224
267,650,600,228,229,401,496,703,205,376
298,074,214,633,706,907,132,624,082,305,024

 

.

Bytes

2^X

Bits

1 bit =
1 byte =
1
kilobyte =
1
megabyte =
1
gigabyte =
1
terabyte =
1
petabyte =
1
exabyte =
1
zettabyte =
1
yottabyte =
1 ?1byte =
1 ?2byte =
1 ?3byte =

.125 byte. =
1 byte
. =
1024 bytes =
1048576 bytes =
1073741,824 bytes =
1099511627776 bytes =
1125899906842624 bytes =
1152921504606846976 bytes =
1180591620717411303424 bytes =
1208925819614629174706176 bytes =
1237940039285380274899124224 bytes =
1267650600228229401496703205376 bytes =
1298074214633706907132624082305024 bytes =


2^
10
2^
20
2^
30
2^
40
2^
50
2^
60
2^
70
2^
80

1 bit.
8 bits
8192 bits
8388608 bits
8589934592 bits
8796093022208 bits
9007199254740992 bits
9223372036854775808 bits
9444732965739290427392 bits
9671406556917033397649408 bits
9903520314283042199192993792 bits
10141204801825835211973625643008 bits
10384593717069655257060992658440192 bits

 

Some interesting facts about what these various-sized bytes can store:

* 1 bit: a binary decision
* 1 byte: a character
* 5 Megabytes: The complete works of Shakespeare
* 2 Gigabytes: 20 meters of shelved books
* 10 Terabytes: The printed collection of the US Library of Congress
* 200 Petabytes: All printed material
* 5 Exabytes: All words ever spoken by human beings

 

Etymology of Units by PC Jagdeep

1. Kilo Greek khilioi = 1000
2.Mega Greek megas = great, e.g., Alexandros Megos
3.Giga Latin gigas = giant
4.Tera Greek teras = monster
5.Peta Greek pente = five, fifth prefix, peNta - N = peta
6.Exa Greek hex = six, sixth prefix, Hexa - H = exa Remember, in standard French,
the initial H is silent, so they would pronounce Hexa as Exa.
It is far easier to call it Exa for everyone's sake, right?
7.Zetta almost homonymic with Greek Zeta, but last letter of the Latin alphabet
8.Yotta almost homonymic with Greek iota, but penultimate letter of the Latin alphabet.

The first prefix is number-derived; second, third, and fourth are based on mythology. Fifth and sixth are supposed to be just that: fifth and sixth. But, with the seventh, another fork has been taken. The General Conference of Weights and Measures (CGMP, from the French; they have been headquartered, since 1874, in Sevres on the outskirts of Paris) has now decided to name the prefixes, starting with the seventh, with the letters of the Latin alphabet, but starting from the end. Now, that makes it all clear! Remember, both according to CGMP and SI, the prefixes refer to powers of 10. Mega is 10**6, exactly 1,000,000; kilo is exactly 1000, not 1024.


Powers of Ten - SI Prefixes

The following tables of prefixes show how to use terms like Gigabytes and Nanoseconds.
The prefix is placed on the front of words to imply a multiple of millions or billions,
or to show a division by (negative powers of ten) a number, as in microsecond.
These prefixes are used with metric measurements. They are also called SI prefixes,
because the metric units are known as the SI Units, where SI means Systeme Internationale.

Powers of 10 - SI Prefixes

prefix

letter

power of 10

multiplier

US English words

Greater than one - a multiple

kilo

K

3

1,000

one thousand

mega

M

6

1,000,000

one million

giga

G

9

1,000,000,000

one billion

tera

T

12

1,000,000,000,000

one trillion

peta

P

15

1,000,000,000,000,000

one quadrillion

exa

E

18

1,000,000,000,000,000,000

one quintillion

zetta

Z

21

1,000,000,000,000,000,000,000

one sextillion

yotta

Y

24

1,000,000,000,000,000,000,000,000

one septillion

Less than one - a fraction

milli

m

-3

1/1,000

one thousandth

micro

µ *

-6

1/1,000,000

one millionth

nano

n

-9

1/1,000,000,000

one billionth

pico

p

-12

1/1,000,000,000,000

one trillionth

femto

f

-15

1/1,000,000,000,000,000

one quadrillionth

atto

a

-18

1/1,000,000,000,000,000,000

one quintillionth

zecto

z

-21

1/1,000,000,000,000,000,000,000

one sextillionth

yocto

y

-24

1/1,000,000,000,000,000,000,000,000

one septillionth

* note: the letter for micro is the Greek letter 'mu'.

Examples:
One picosecond is 0.0000000000001 second, or 10-12 second.
(Some say "pie-co", some say "pee-co.")
A terawatt is 1,000,000,000,000 watts of energy.
166 Megahertz means 166 million cycles per second.

 

 

 

Table of kn, with k on the left and n at the top.

 

 

1

2

3

4

5

6

7

8

9

10

1

1

1

1

1

1

1

1

1

1

1

2

2

4

8

16

32

64

128

256

512

1,024

3

3

9

27

81

243

729

2,187

6,561

19,683

59,049

4

4

16

64

256

1,024

4,096

16,384

65,536

262,144

1,048,576

5

5

25

125

625

3,125

15,625

78,125

390,625

1,953,125

9,765,625

6

6

36

216

1,296

7,776

46,656

279,936

1,679,616

10,077,696

60,466,176

7

7

49

343

2,401

16,807

117,649

823,543

5,764,801

40,353,607

282,475,249

8

8

64

512

4,096

32,768

262,144

2,097,152

16,777,216

134,217,728

1,073,741,824

9

9

81

729

6,561

59,049

531,441

4,782,969

43,046,721

387,420,489

3,486,784,401

10

10

100

1,000

10,000

100,000

1,000,000

10,000,000

100,000,000

1,000,000,000

10,000,000,000