Where Bitcoins generate from?
While coins are minted, paper money are printed, digital money are mined.
The rules of how Bitcoin mining works are defined by the Bitcoin protocol and implemented in its software. Bitcoin cryptocurrency uses POW (proof-of-work) algorithm to create supply of bitcoins and verify transactions. Also it is claimed to be the one of possible defenses against DoS attack. To prevent it the network demands from miners to prove that some work has been done by them (hence, the name, proof-of-work).
The network gives to miners a mathematical puzzle that is difficult to solve but easy to verify computationally. The miner uses computational power to solve the stated math problem in order to produce the valid block. After the challenge is completed, miner submits his work to other nodes’ for validation. In return the miner who found a block first gets a block reward and transaction fees included to this block.
Note: The difficulty of such mathematical puzzle increases with the growing number of miners. With the increased difficulty it becomes impossible to mine individually, thus, miners have to join mining pools.
About the puzzle that miners need to solve
The Bitcoin cryptocurrency has a cryptographic proof-of-work hash function - SHA 256d. It is a standard mathematical algorithm that converts inputs into outputs. Usually, it is really computationally-easy to get the output by putting the input into the function. E.g. from 1+2+3+4 we get 10. But if we set the challenge vice versa knowing only the output we will have a number of different variants of inputs: 9+1, 8+2, 7+3, 6+4, 5+5, etc. The challenge in a mathematical puzzle is that miner needs to find such input that will satisfy the specific output.
Note: The specific output is a digital value of a block header’s hash - an identifier of a block that has to start with a certain number of zeros.
For solving the puzzle, a miner searches a block nonce. The one who finds it first is a winner. The efficiency of miner depends on its speed in searching the right nonce.
In general, when people talk about Ethereum they mean the main public permissionless instance (version) of the network. However, like Bitcoin, you can take Ethereum software, modify it slightly and create private networks that aren’t connected to the main public network. The private tokens and smart contracts won’t be compatible with the public tokens though, for now. For more on the difference between public permissionless and private permissioned networks, see confused by blockchains? Revolution vs Evolution
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