Bitcoin mining difficulty charts - Chainlink (LINK)Dogecoin (DOGE)

Bitcoin mining difficulty charts


See also: target

What is "difficulty"?

Difficulty is a measure of how difficult it is to find a hash below a given target.

The Bitcoin network has a global block difficulty. Valid blocks must have a hash below this target. Mining pools also have bitcoin mining difficulty charts pool-specific share difficulty setting a lower limit for shares.

How often does the network difficulty change?

Every blocks.

What is the formula for difficulty?

difficulty = difficulty_1_target / current_target

(target is a bit number)

difficulty_1_target can be different for various ways to measure difficulty. Traditionally, it represents a hash where the leading 32 bits are zero and the rest are one (this is known as "pool difficulty" turkiyede bitcoin borsalari "pdiff"). The Bitcoin protocol represents targets as a custom floating point type with limited precision; as a result, bitcoin mining difficulty charts, Bitcoin clients often approximate difficulty based on this (this is known as "bdiff").

How is difficulty stored in blocks?

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 (stored in little-endian order: ), the hexadecimal target is

0xcb * 2**(8*(0x1b - 3)) = 0xCB

Note that this packed format contains a sign bit in the 24th bit, and for example the negation of the above target would be 0x1b8cb in packed format. Since targets are never negative bitcoin mining difficulty charts practice, however, this means the largest legal value for the lower 24 bits is 0x7fffff. Additionally, 0x is the smallest legal value for the lower 24 bits since targets are bitcoin mining difficulty charts stored with the lowest possible exponent.

How is difficulty calculated? What is the difference between bdiff and pdiff?

The highest possible target (difficulty 1) is defined as 0x1d00ffff, which gives us a hex target of

0x00ffff * 2**(8*(0x1d - 3)) = 0xFFFF

It should be noted that pooled mining often uses non-truncated targets, which puts "pool difficulty 1" at


So the difficulty at 0x1bcb is therefore:

0xFFFF / 0xCB = (bdiff)



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:

#include <iostream> #include <cmath> inline float fast_log(float val) { int * const exp_ptr = reinterpret_cast <int *>(&val); int x = *exp_ptr; const int log_2 = ((x >> 23) & ) - ; x &= ~( << 23); x += << 23; *exp_ptr = x; val = ((f/3) * val + 2) * val - f/3; return ((val + log_2) * f); } float difficulty(unsigned int bits) { static double max_body = fast_log(0x00ffff), scaland = fast_log(); return bitcoin gold grafik - fast_log(bits & 0x00ffffff) + scaland * (0x1d - ((bits & 0xff) >> 24))); } int main() { std::cout << difficulty(0x1bcb) << std::endl; return 0; }

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:

import decimal, math l = e = math.e print 0x00ffff * 2**(8*(0x1d - 3)) / float(0xcb * 2**(8*(0x1b - 3))) print l(0x00ffff * 2**(8*(0x1d - 3)) / float(0xcb * 2**(8*(0x1b - 3)))) print l(0x00ffff * bitcoin mining difficulty charts - 3))) - l(0xcb * 2**(8*(0x1b - 3))) print l(0x00ffff) + l(2**(8*(0x1d - 3))) - l(0xcb) - l(2**(8*(0x1b - 3))) print l(0x00ffff) + (8*(0x1d - 3))*l(2) - l(0xcb) - (8*(0x1b - 3))*l(2) print l(0x00ffff / float(0xcb)) + (8*(0x1d - 3))*l(2) - (8*(0x1b - 3))*l(2) print l(0x00ffff / float(0xcb)) + (0x1d - 0x1b)*l(2**8)

Here's hong kong bitcoin exchanges even faster way to compute the difficulty, using. This particular function lets you scale by a power of two almost for free, by directly adjusting the exponent on the floating point number. Thus, the difficulty calculation gets reduced to a couple integer arithmetic steps, single floating point divide, and a single scale-by-power-of

/* In C, just change cmath to math.h and std::ldexp bitcoin mining difficulty charts ldexp. */ #include <cmath> double difficulty(const unsigned bits) { const unsigned exponent_diff = 8 * (0x1D - ((bits >> 24) & 0xFF)); const double significand = bits & 0xFFFFFF; return std::ldexp(0x00FFFF / significand, exponent_diff); }

What is the current difficulty?

Current difficulty, as output by Bitcoin's getDifficulty, bitcoin mining difficulty charts.


What is the maximum difficulty?

There is no november 15th bitcoin target. The maximum difficulty is roughly: maximum_target / 1 (since 0 would result in infinity), which is a ridiculously huge number (about 2^).

The actual maximum difficulty is when current_target=0, but we would not be able to calculate the difficulty if that happened. (fortunately it never will, bitcoin mining difficulty charts, so we're ok.)

Can the network difficulty go down?

Yes it can. See discussion in target. bitcoin mining difficulty charts is the minimum difficulty?

The minimum difficulty, when the target is at the maximum allowed value, is 1.

What network hash rate results in a given difficulty?

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 hash is effectively a random number between 0 and 2** The offset for difficulty 1 is

0xffff * 2**

and for difficulty Moneycontrol bitcoin india is

(0xffff * 2**)/D

The expected number of hashes we need to calculate to find a block with difficulty D is therefore

D * 2** / (0xffff * 2**)

or just

D * 2**48 / 0xffff

The difficulty is set such that the previous blocks would have been found at the rate of one every 10 minutes, so we were calculating (D * 2**48 / 0xffff) hashes in seconds. That means the hash rate of the network was

D * 2**48 / 0xffff /

over the previous blocks. Can be further simplified to

D * 2**32 /

without much loss of accuracy, bitcoin mining difficulty charts.

At difficulty 1, that is around 7 Mhashes per second.

At the time of writing, bitcoin mining difficulty charts, the difficulty iswhich means that over the previous set of blocks found the average network hash rate was

* 2**32 / = around Ghashes per second.

How soon might I expect to generate a block?

(The eternal question.) best uk bitcoin account average time to find a block can be approximated by calculating:

time = difficulty * 2**32 / hashrate

where difficulty is the current difficulty, hashrate is the number of hashes your miner calculates per second, bitcoin mining difficulty charts, and time is the average in seconds between the blocks you find.

For example, using Python we calculate the average time to generate a block using a 1Ghash/s mining rig when the difficulty is

$ python -c "print * 2**32 / 10**9 / 60 / "

and find that it takes just under 24 hours on average.

Why is bitcoin not designed to update the difficulty more frequently?


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