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The Bitcoin network has a global block difficulty. Valid blocks must have a hash below this target. Mining pools also have a pool-specific share difficulty setting a lower limit for shares. Traditionally, it represents a hash where the leading 32 bits are zero and the rest are one this is known as "pool difficulty" or "pdiff".
The Bitcoin protocol represents targets as a custom floating point type with limited precision; as a result, Bitcoin clients often approximate difficulty based on this this is known as "bdiff". Each block stores a packed representation called "Bits" for its actual hexadecimal target. The target can be derived from it via a predefined formula. For example, if the packed target in the block is 0x1bcb, the hexadecimal target is.
Note that the 0xcb value is a signed value in this format. The largest legal value for this field is 0x7fffff. To make a larger value you must shift it down one full byte. Also 0x is the smallest positive valid value. The highest possible target difficulty 1 is defined as 0x1d00ffff, which gives us a hex target of. It should be noted that pooled mining often uses non-truncated targets, which puts "pool difficulty 1" at.
Here's a fast way to calculate bitcoin difficulty. It uses a modified Taylor series for the logarithm you can see tutorials on flipcode and wikipedia and relies on logs to transform the difficulty calculation:. To see the math to go from the normal difficulty calculations which require large big ints bigger than the space in any normal integer to the calculation above, here's some python:.
Current difficulty , as output by Bitcoin's getDifficulty. There is no minimum target. The maximum difficulty is roughly: The difficulty is adjusted every blocks based on the time it took to find the previous blocks.
At the desired rate of one block each 10 minutes, blocks would take exactly two weeks to find. If the previous blocks took more than two weeks to find, the difficulty is reduced. If they took less than two weeks, the difficulty is increased.
The change in difficulty is in proportion to the amount of time over or under two weeks the previous blocks took to find. To find a block, the hash must be less than the target. The offset for difficulty 1 is. The expected number of hashes we need to calculate to find a block with difficulty D is therefore.
That means the hash rate of the network was. At the time of writing, the difficulty is Retrieved from " https: Pages with syntax highlighting errors Technical Vocabulary. Navigation menu Personal tools Create account Log in.