Divisibility extension

From Bitcoin Wiki
Revision as of 21:02, 29 March 2011 by Luke-jr (talk | contribs) (→‎Proposed solutions: primes)
Jump to navigation Jump to search

Why wait to extend divisibility until we need it? It's easier to upgrade >50% now.

Note: 1 Satoshi is defined to be the present base unit, or 0.00000001 BTC

Proposed solutions

62/64-bit

In these solutions, a 64-bit type is assumed, one of which is reserved for signedness (+/-), and another for an "upgraded" flag to retain compatibility with the existing block chain.

"B"

Each Satoshi is upgraded to 2079 (3 × 3 × 3 × 7 × 11) base units.

  • Adds 3 more decimal places
  • Can be divided into exact ⅓, ⅙, ⅐, ⅑, 1⁄11 (in addition to the present ½ and ⅕) and multiples thereof

"D"

Each Satoshi is upgraded to 1296 (3 × 3 × 3 × 3 × 2 × 2 × 2 × 2) base units.

  • Adds 3 more decimal places
  • Can be divided into exact ⅓, ⅑, (in addition to the present ½ and ⅕) and multiples thereof

In addition, after the initial 210000 blocks, generation will be reduced to 33.93554406716 BTC (4,398,046,511,104 new-base-units, which divides cleanly by 2 until exhausted) instead of the current 25 BTC.

  • Inflation is increased. New mining reward is adjusted for this inflation, but all 50 BTC mining is devalued slightly over a long period of time.
  • There are now a total of 24,752,928.50820579 BTC (3,207,979,534,663,470,000 new-base-units) to ever exist.

=== Primes ===7,7,11,13,17,19,23,29

"A"

12 bits remain after 51 amount + 1 sign.

  • Four ⅓ divisors
  • Two 1⁄7 divisors
  • 1⁄11
  • 1⁄13
  • 1⁄17
  • 1⁄19
  • 1⁄23
  • 1⁄29

"B"

Limit transactions to 5.6 million BTC max. This gives a total of 14 spare bits.

  • Same as above, plus:
  • 1⁄31
  • 1⁄37

Deprecated solutions

62/64-bit

"A"

  • Satoshi × 2304 (2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 3 × 3)
  • 21.47483648 BTC rewards

"C"

  • Satoshi × 2187 (3 × 3 × 3 × 3 × 3 × 3 × 3)