Bitcoin runs on the PoW model. What happens with PoW is that cryptocurrency miners (a fancy term for people with really high-powered computers) compete against one another to solve complex mathematical equations that are a result of the encryption protecting transactions on a blockchain network. The first miner to solve these equations, and in the process validate a block of transactions, receives what's known as a "block reward." For bitcoin, a block reward is paid as a fraction of digital bitcoin.
In the blockchain, bitcoins are registered to bitcoin addresses. Creating a bitcoin address requires nothing more than picking a random valid private key and computing the corresponding bitcoin address. This computation can be done in a split second. But the reverse, computing the private key of a given bitcoin address, is mathematically unfeasible. Users can tell others or make public a bitcoin address without compromising its corresponding private key. Moreover, the number of valid private keys is so vast that it is extremely unlikely someone will compute a key-pair that is already in use and has funds. The vast number of valid private keys makes it unfeasible that brute force could be used to compromise a private key. To be able to spend their bitcoins, the owner must know the corresponding private key and digitally sign the transaction. The network verifies the signature using the public key.[3]:ch. 5
Bitcoin’s first mover advantage, popularity, and network effect have cemented it as the most popular cryptocurrency with the largest market cap. Rivals like Litecoin may have numerous technical advantages over Bitcoin’s algorithm (see more about that here), but they only hold a fraction of Bitcoin’s market cap and their dwindling communities largely consist of loyalists, speculators, and antagonistic anti-Bitcoin buyers.
Startup Polycoin has an AML/KYC solution that involves analysing transactions. Those transactions identified as being suspicious are forwarded on to compliance officers. Another startup Tradle is developing an application called Trust in Motion (TiM). Characterized as an “Instagram for KYC”, TiM allows customers to take a snapshot of key documents (passport, utility bill, etc.). Once verified by the bank, this data is cryptographically stored on the blockchain.
The U.S. federal investigation was prompted by concerns of possible manipulation during futures settlement dates. The final settlement price of CME bitcoin futures is determined by prices on four exchanges, Bitstamp, Coinbase, itBit and Kraken. Following the first delivery date in January 2018, the CME requested extensive detailed trading information but several of the exchanges refused to provide it and later provided only limited data. The Commodity Futures Trading Commission then subpoenaed the data from the exchanges.[177][178]
A smart contract is a computer code that can be built into blockchain to facilitate, verify, or negotiate a contract agreement. Smart contracts operate under a set of conditions that users agree to. When those conditions are met, the terms of the agreement are automatically carried out. Say, for example, I’m renting you my apartment using a smart contract. I agree to give you the door code to the apartment as soon as you pay me your security deposit. Both of us would send our portion of the deal to the smart contract, which would hold onto and automatically exchange my door code for your security deposit on the date of the rental. If I don’t supply the door code by the rental date, the smart contract refunds your security deposit. This eliminates the fees that typically accompany using a notary or third-party mediator.
Bitcoin is a peer-to-peer payment network established in 2009 that uses a virtual currency, the bitcoin, to conduct transactions. Unlike currencies issued by nations, Bitcoin is independent of any country or stock exchange and is entirely digital, with no ties to a central bank, company, or organization.[1][2] It is used as an investment and medium of exchange by all members of its network. Getting bitcoins of your own is thus a matter of becoming a part of the Bitcoin network by setting up a bitcoin account and wallet.
For example, Ethereum (CCY: ETH-USD), which has a nearly $116 billion market cap and is the second-largest cryptocurrency behind bitcoin, currently has 200 organizations testing a version of its blockchain technology. Yes, traditional banks are testing out Ethereum's blockchain, but so are companies in the technology and energy industries. Integrated oil and gas giant BP (NYSE:BP) envisions using a version of Ethereum's blockchain to aid it with energy futures trading. If these transactions were to settle faster, BP could presumably improve its margin. 
The private key (comparable to an ATM PIN) is meant to be a guarded secret, and only used to authorize Bitcoin transmissions. Thus, it’s the “private key” that is kept in a Bitcoin wallet. Some safeguards for a Bitcoin wallet include: encrypting the wallet with a strong password and choosing the cold storage option, i.e. storing it offline. In the case of Coinbase, they offer a secure "multisig vault" to host your keys, which you can sign up for. 
A wallet stores the information necessary to transact bitcoins. While wallets are often described as a place to hold[91] or store bitcoins,[92] due to the nature of the system, bitcoins are inseparable from the blockchain transaction ledger. A better way to describe a wallet is something that "stores the digital credentials for your bitcoin holdings"[92] and allows one to access (and spend) them. Bitcoin uses public-key cryptography, in which two cryptographic keys, one public and one private, are generated.[93] At its most basic, a wallet is a collection of these keys.
One of the Bitcoin blockchain's most innovative aspects is how it incentivizes nodes to participate in the intensive consensus-building process by randomly rewarding one node with a fixed bounty (currently 12.5 BTC) every time a new block is settled and committed to the chain. This accumulation of Bitcoin in exchange for participation is called "mining" and is how new currency is added to the total system afloat.
With smart contracts, a certain set of criteria for specific insurance-related situations can be established. In theory, with the implementation of Blockchain technology, you could just submit your insurance claim online and receive an instant automatic payout. Providing, of course, that your claim meets all the required criteria. French insurance giant AXA is the first major insurance group to offer insurance using Blockchain technology. They’ve recently introduced a new flight-delay insurance product that will use smart contracts to store and process payouts. Other insurance companies will surely follow suit.
The good news: No advanced math or computation is involved. You may have heard that miners are solving difficult mathematical problems--that's not true at all. What they're actually doing is trying to be the first miner to come up with a 64-digit hexadecimal number (a "hash") that is less than or equal to the target hash. It's basically guess work.
When mining began, regular off-the-shelf PCs were fast enough to generate bitcoins. That's the way the system was set up—easier to mine in the beginning, harder to mine as more bitcoins are generated. Over the last few years, miners have had to move on to faster hardware in order to keep generating new bitcoins. Today, application-specific integrated circuits (ASIC) are being used. Programmer language aside, all this means is that the hardware is designed for one specific task—in this case mining.
Researchers and technologists alike are talking about how blockchain technology is the next big thing across industries from finance to retail to even healthcare. According to Gartner, their client inquiries on blockchain and related topics have quadrupled since August 2015. This article attempts to provide a short executive summary on what blockchain technology is, how it works, and why has it captured everyone’s fancy.

Imagine this for a second, a hacker attacks block 3 and tries to change the data. Because of the properties of hash functions, a slight change in data will change the hash drastically. This means that any slight changes made in block 3, will change the hash which is stored in block 2, now that in turn will change the data and the hash of block 2 which will result in changes in block 1 and so on and so forth. This will completely change the chain, which is impossible. This is exactly how blockchains attain immutability.

When you have your wallet, go to a section that says 'Receive Money' or 'Add funds' or something similar. There will usually be a QR-code that has your Bitcoin address encoded in it. Print out the image with the QR-code and place it next to your cash register. Your customers will typically have a Bitcoin app installed on their smartphone where they can enter the value of the purchase in USD or EUR. Their app calculates the corresponding Bitcoin value. It automatically takes the current exchange rate to get the right amount. On your wallet account you can check the confirmation of your incoming payment.
Once a transaction is recorded, its authenticity must be verified by the blockchain network. Thousands or even millions of computers on the blockchain rush to confirm that the details of the purchase are correct. After a computer has validated the transaction, it is added to the blockchain in the form of a block. Each block on the blockchain contains its own unique hash, along with the unique hash of the block before it. When the information on a block is edited in any way, that block’s hash code changes — however, the hash code on the block after it would not. This discrepancy makes it extremely difficult for information on the blockchain to be changed without notice.

The U.S. Commodity Futures Trading Commission has issued four "Customer Advisories" for bitcoin and related investments.[14] A July 2018 warning emphasized that trading in any cryptocurrency is often speculative, and there is a risk of theft from hacking, and fraud.[165] A February 2018 advisory warned against investing into "IRS approved" virtual currency individual retirement accounts.[166] A December 2017 advisory warned that virtual currencies are risky because:
Once the recording of a transaction is on the Blockchain and the Blockchain has been updated, then the alteration of the records of this transaction is impossible. This is due to that particular transaction record being linked to the record of every preceding one. Blockchain records are permanent, they are ordered chronologically, and they are available to all the other nodes. The diagram shows an extract from the Bitcoin Blockchain.
Blockchain is the underlying technology for digital currency like Bitcoin, Litecoin, and Ethereum and other digital properties. The technology records every transaction of a digital currency or property in a database or digital ledger. It also copies and distributes the database to a network of computers to validate each transaction. This decentralizes, secures, and publicizes each digital currency’s or property’s database of transactions.
The proof-of-work system, alongside the chaining of blocks, makes modifications of the blockchain extremely hard, as an attacker must modify all subsequent blocks in order for the modifications of one block to be accepted.[85] As new blocks are mined all the time, the difficulty of modifying a block increases as time passes and the number of subsequent blocks (also called confirmations of the given block) increases.[67]