Something along these lines may well have already been proposed and if it has, please direct me to the thread. However, there's always a chance this is actually a new and revolutionary idea
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Introducing 'powerbitcoin' (^BTC) ...
1 BTC = 21.1 ^BTC
half a Bitcoin = 20.5 ^BTC
quarter of a Bitcoin = 20.25 ^BTC (pronounced 'twenty dot two five powerbitcoin')
21 million BTC = 28.21 ^BTC
1 satoshi = 13.1 ^BTC
... another way to think about, to write, communicate and calculate Bitcoin quantities based on, but with a less cumbersome ‘feel’ than scientific notation (or decimal floating point notation).
This is something I’ve been thinking about I’d like to run by you folk see what you think.
The question is would enough people be able to understand and accept that the first number you encounter, the number to the left of the dot (not a decimal point) gives us the scale (denomination or ‘exponent’ ) of the value of Bitcoin whilst that on the right gives us the amount or ‘detail’? I suggest all that is required is an acceptance for instance that a 22.x value is ten times as big as a 21.x number to make practical use of it. The rest is just familiarity.
I’m a big fan of the concept of scientific notation as a means of easily being able to think about numbers of any magnitude from very large to very small. But perhaps one of the reasons for its lack of widespread adoption is that the accepted way of writing, and especially of pronouncing, standard notation are very unfamiliar and too ‘nerdy’ sounding for most people (e.g. ‘Five point two three seven times ten to the power of eight’). This is necessary in the scientific world because there is a need to be able to ‘translate’ from scientific notation to decimal and back. There is an inherent need in most situations for the number represented to refer to an entity that is counted or measured. Anybody using it therefore needs to have enough of an understanding of mathematics to be able to do the 'translation'.
But this is not the case when it comes to Bitcoin because underlying the ‘quantities’ of Bitcoin is ‘merely’ a lump of distributed encrypted code. The unit chosen to launch Bitcoin into the world was one Bitcoin but it is in the long term just a reference point to be divided or multiplied to the extent required. As far as I can see it what counts for Bitcoin is
relative value so as long as the relationship between two numbers is understood the need to write or even to think of a number as
x followed by
y zeroes or zero point
y zeroes followed by
z becomes unnecessary.
If Bitcoin use is to become widespread and its value to increase such that ‘quantities’ exchanged for most goods and services are in micro or milibitcoin there’s no way of getting away from a need for users to think about numbers of different magnitudes than what they’re used to. So why not abandon the need for all the different denominations and instead use something entirely new.
I have provisionally chosen an arbitrary tiny divisor that should (for the foreseeable future) negate the need for negative exponents so the idea of positive for large and negative for small numbers is something else people don’t need to get their heads around.
I’m already using it to think of and write the amount of Bitcoin I am spending, the amount I have in my wallet or in the exchange. I’m using formulae to change it back and forth in my spreasheets and will want software (e.g. a mtgox api) to handle it.
So let me summarise my case for 'powerbitcoin':
• No need to count digits (or use commas) to see how big or small a number is;
• The first number you see tells you immediately the scale of the value of Bitcoin.
• No need to agree and learn potentially confusing names and symbols (such as microbitcoin and satoshi) for denominations.
• Expressing numbers from the immensely large to the immensely small, irrespective of the value of Bitcoin in terms of other currencies or commodities becomes really easy.
• The length of the latter number is decided purely only on the accuracy requiring to be expressed.
• There is no need ever to translate the numbers into decimal notation (with masses of zeroes) because with there being no entities to count, what counts is only value relative to other values.
• Logarithm rules of adding or subtracting exponents for multiplication and division make calculations easier.
• If the ability to use powerbitcoin notation becomes widespread maybe people will be less inclined to say stupid thing like ‘billion or trillion or whatever’ when it comes to amounts governments are borrowing/printing etc. In these matters size matters (/rant)
OK, so maybe I’m not the one to present the case against but disadvantages as far as I can see them are:
It’s brand new and totally unfamiliar;
It may require more of an understanding of mathematics by users than I am currently thinking;
Its use in spreadsheets and other software requires a formula or function for conversion in order to do calculations;
It may be a while before we can buy a calculator for use of Power Bitcoin (but there’s no reason not to have a ^BTC calculator app for smartphone);
If this became a 'meme' and powercoin was common parlance on the forums it would make Bitcoin look even more nerdy to your average folk than it already does!
Initial thoughts?
Edit: Doh! I just realised I got 'exponent' and 'significand' the wrong way round! Corrected