Re: How many pictures calculator
- Posted by DerekParnell (admin) May 08, 2009
- 1089 views
How do you work out how many pictures there are for a given number of pixels and colours?
The image dimensions are 1 Bit Per Pixel = 2 colours 4*4 number of pixels = 16 pixels
I think the answer is 2^16 = 65536 2 to power of 16 is 65536 Is this the correct answer?
I think you are trying to find out ... given P pixels, and each pixel can have C different colours, how many different images can you get?
Well, let's look at the simplest case: P = 1, C = 2 => 2 images. Now when P = 2, we get 2 * 2 = 4 images, when P = 3 we get 2 * 4 = 8 images, etc ...
Graphically ...
P = 1
0 1P = 2
00 01 10 11P = 3
000 001 010 011 100 101 110 111
Mathemtically ... P = 1 => C, P = 2 => C * C, P = 3 => C * C * C
So in the general case, the number of images is C multiplied by itself P times, which is C raised to the power P.
I = power(C,P)
In your example data ...
I = power(2,16)
Gives us the answer 65536.
So if we had an 8 by 8 pixel image (64 pixels per image) and each pixel can have 8 bits each of Red, Green and Blue for a total of 16777216 different colours, we can have about ... 2.4e+462 images (that's 24 followed by 461 zeros).
