Decimal Range of bits

[OrangeSoul]

If I want to convert 24 bit into its decimal range is this the procesdure to follow?

10-bit (1Kb) x 10-bit (1Kb) x 4-bit (16)

is this true?

[JaredVolkl]

Are you asking how big (or small) a number you could represent in binary with 24 bits? If that's the case, then its 2^24 (2 to the 24th power). If not please clarify your question a bit more please.

[OrangeSoul]

for example 1 bit decimal range is 2 ( 0 and 1)

and 4 bit decinal range is 16 (0 and 15), 8 bit is 256

10 bit is 1024 while 20 bit is 1048576 which is 10x10bit

so im asking just like the 20 bit example wouldnt 24 bit be 10x10x4 (bit) = decimal range for 24 bits? which is 16.8 M?

[jkinzer]

10-bit x 10-bit x 4-bit = 2^10 x 2^10 x 2^4 = 1024 x 1024 x 16 = 16777216 = 2^24

[AltoidBox]

While that works, I would just recommend doing as JaredVolkl said. Take 2 to the 24th power. Much easier than breaking it down like you have. So if you have 64 bits, the range would be 2^64.

[Reaper_Man]

Try this, not sure if its what you but it does conversions.

http://faculty.plattsburgh.edu/albert.cordes/bindec.html

[OrangeSoul]

then how do we convert any decimal number to bits again?

[Reaper_Man]

Here you go

http://faculty.plattsburgh.edu/albert.cordes/DECBIN.HTML

[OrangeSoul]

for instance, would 3,875,216 for example be 21 bits?

[Reaper_Man]

3,875,216 decimal is equal to 1110110010000110010000 in binary

So its 22 bits