As noted in Nakamoto's whitepaper, it is possible to verify bitcoin payments without running a full network node (simplified payment verification, SPV). A user only needs a copy of the block headers of the longest chain, which are available by querying network nodes until it is apparent that the longest chain has been obtained. Then, get the Merkle branch linking the transaction to its block. Linking the transaction to a place in the chain demonstrates that a network node has accepted it, and blocks added after it further establish the confirmation.[2]
Although it is possible to handle bitcoins individually, it would be unwieldy to require a separate transaction for every bitcoin in a transaction. Transactions are therefore allowed to contain multiple inputs and outputs, allowing bitcoins to be split and combined. Common transactions will have either a single input from a larger previous transaction or multiple inputs combining smaller amounts, and one or two outputs: one for the payment, and one returning the change, if any, to the sender. Any difference between the total input and output amounts of a transaction goes to miners as a transaction fee.[2]

During mining, your Bitcoin mining hardware runs a cryptographic hashing function (two rounds of SHA256) on what is called a block header. For each new hash that is tried, the mining software will use a different number as the random element of the block header, this number is called the nonce. Depending on the nonce and what else is in the block the hashing function will yield a hash which looks something like this:
2-3 Wallet: A 2-3 multisig wallet could be used to create secure offline storage with paper wallets or hardware wallets. Users should already backup their offline Bitcoin holdings in multiple locations, and multisig helps add another level of security. A user, for example, may keep a backup of a paper wallet in three separate physical locations. If any single location is compromised the user’s funds can be stolen. Multisignature wallets improve upon this by requiring instead any two of the three backups to spend funds--in the case of a 2-3 multisig wallet. The same setup can be created with any number of signatures. A 5-9 wallet would require any five of the nine signatures in order to spend funds.
Competing ASIC maker BitFury has also started seeking profit from nonmining industries. “While we began as just a mining company back in 2011, our company has significantly expanded its reach since then,” says CEO Vavilov. Among other things, BitFury is now providing its immersion cooling technology to high-performance data centers that are not involved in Bitcoin.
What would it take for a competitor to nudge into the fray? For starters, it has to be willing to put a lot of money on the line. Several million dollars can go into chip design before a single prototype is produced. “It takes the willingness to pull the trigger and pay the money,” says Hanke. But he’s confident it will happen. “People will see it’s profitable, and they will jump in.”
Transactions are verified by network nodes through cryptography and recorded in a public distributed ledger called a blockchain. Bitcoin was invented by an unknown person or group of people using the name Satoshi Nakamoto[9] and released as open-source software in 2009.[10] Bitcoins are created as a reward for a process known as mining. They can be exchanged for other currencies,[11] products, and services. Research produced by the University of Cambridge estimates that in 2017, there were 2.9 to 5.8 million unique users using a cryptocurrency wallet, most of them using bitcoin.[12]