Have you ever wondered how there can be over 35 million different and DISTINCT songs on iTunes ?
click to see article about how many songs iTunes has
Well, its even crazier when you search in google for : "How many songs are there in the world"
Spoiler alert:
97 million is the answer you get See here
In a matter of fact, mathematically speaking 97 millions songs is literally nothing compared to how many different songs can exist.
Lets start our Maths by looking at a pretty standard Audio CD which holds 700 MB or round about 80 minutes of Audio.
Also, lets consider you have to change 1 bit to create a new song.
Before we look how many ways there are to rearrange 700 MB. lets look at 8 bits ( or a Byte)
00000000 in binary is obviously 0
00000001 is 1
00000010 is 2 in decimal system
so counting all the way up to
11111111 equals 255
Meaning that there are 256 possible values (because 0 is also a value)
An easier attempt to calculate the possible values would have been to have 2 to the power of 8.
Why?? you might ask.
With a single bit, you can display 2 different values (1 and 0)
with a second one you can display twice as much.
with a third one you have twice as much again.
and because you have 8 bits you can calculate 2 * 2 * 2 * 2 * 2 * 2 * 2 * 2 or 2 to the power of 8
or
8
2
Now if we want to know how many different song files there can be on a 700 MB disk we need to know that you need 1024 Bytes to get 1 Kilobyte and again 1024 Kilobytes to get 1 Megabyte
also 8 Bits is equal to 1 Byte
so we have
700
1024
1024
8
2
or
(8*1024*1024*700)
2
different ways
according to http://mrob.com/pub/comp/hypercalc/hypercalc-javascript.html the result is
1767655840
8.0684 * 10
which is a number with 1767655840 digits
80
in comparison: the number of atoms in the visible universe is guessed to be 10 ^ which has 80 digits.
and 92 Million is just 8 digits long.
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