Binary Powers of 10
|
. |
Bytes |
Bits |
. |
Deviation from 10^x |
|
1
bit = |
.125 byte. = |
1 bit. |
. |
. |
|
. |
Bytes |
2^X |
Bits |
|
1
bit = |
.125 byte. = |
|
1 bit. |
|
Some interesting facts about what these various-sized bytes
can store: * 1 bit: a binary
decision |
|
Etymology
of Units by PC Jagdeep |
|
1. Kilo Greek khilioi = 1000 |
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.
|
prefix |
letter |
power of 10 |
multiplier |
|
|
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: |
||||
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 |