Backtracking a bit, let's talk about "nodes." A node is a powerful computer that runs the bitcoin software and helps to keep bitcoin running by participating in the relay of information. Anyone can run a node, you just download the bitcoin software (free) and leave a certain port open (the drawback is that it consumes energy and storage space – the network at time of writing takes up about 145GB). Nodes spread bitcoin transactions around the network. One node will send information to a few nodes that it knows, who will relay the information to nodes that they know, etc. That way it ends up getting around the whole network pretty quickly.
This bizarre process might not seem like it would need that much electricity—and in the early years, it didn’t. When he first started in 2012, Carlson was mining bitcoin on his gaming computer, and even when he built his first real dedicated mining rig, that machine used maybe 1,200 watts—about as much as a hairdryer or a microwave oven. Even with Seattle’s electricity prices, Carlson was spending around $2 per bitcoin, which was then selling for around $12. In fact, Carlson was making such a nice profit that he began to dream about running a bunch of servers and making some serious money. He wasn’t alone. Across the expanding bitcoin universe, lots of miners were thinking about scaling up, turning their basements and spare bedrooms into jury-rigged data centers. But most of these people were thinking small, like maybe 10 kilowatts, about what four normal households might use. Carlson’s idea was to leapfrog the basement phase and go right to a commercial-scale bitcoin mine that was huge: 1,000 kilowatts. “I started to have this dream, that I was posting on online forums, ‘I think I could build the first megawatt-scale mine.’”

To heighten financial privacy, a new bitcoin address can be generated for each transaction.[113] For example, hierarchical deterministic wallets generate pseudorandom "rolling addresses" for every transaction from a single seed, while only requiring a single passphrase to be remembered to recover all corresponding private keys.[114] Researchers at Stanford and Concordia universities have also shown that bitcoin exchanges and other entities can prove assets, liabilities, and solvency without revealing their addresses using zero-knowledge proofs.[115] "Bulletproofs," a version of Confidential Transactions proposed by Greg Maxwell, have been tested by Professor Dan Boneh of Stanford.[116] Other solutions such Merkelized Abstract Syntax Trees (MAST), pay-to-script-hash (P2SH) with MERKLE-BRANCH-VERIFY, and "Tail Call Execution Semantics", have also been proposed to support private smart contracts.
If you've made it this far, then congratulations! There is still so much more to explain about the system, but at least now you have an idea of the broad outline of the genius of the programming and the concept. For the first time we have a system that allows for convenient digital transfers in a decentralized, trust-free and tamper-proof way. The repercussions could be huge.

In the earliest days of Bitcoin, mining was done with CPUs from normal desktop computers.  Graphics cards, or graphics processing units (GPUs), are more effective at mining than CPUs and as Bitcoin gained popularity, GPUs became dominant.  Eventually, hardware known as an ASIC, which stands for Application-Specific Integrated Circuit, was designed specifically for mining bitcoin.  The first ones were released in 2013 and have been improved upon since, with more efficient designs coming to market.  Mining is competitive and today can only be done profitably with the latest ASICs.  When using CPUs, GPUs, or even the older ASICs, the cost of energy consumption is greater than the revenue generated.

The Bitcoin network shares a public ledger called "blockchain". This ledger contains every transaction ever processed, allowing a user's computer to verify the validity of each transaction. The authenticity of each transaction is protected by digital signatures corresponding to sending addresses, allowing all users to have full control over sending Bitcoins from their own Bitcoin addresses. In addition, anyone can process transactions using the computing power of specialized hardware and earn a reward in Bitcoins for this service. This is often called "mining".
Let’s say a hacker wanted to change a transaction that happened 60 minutes, or six blocks, ago—maybe to remove evidence that she had spent some bitcoins, so she could spend them again. Her first step would be to go in and change the record for that transaction. Then, because she had modified the block, she would have to solve a new proof-of-work problem—find a new nonce—and do all of that computational work, all over again. (Again, due to the unpredictable nature of hash functions, making the slightest change to the original block means starting the proof of work from scratch.) From there, she’d have to start building an alternative chain going forward, solving a new proof-of-work problem for each block until she caught up with the present.
Bitcoin’s first mover advantage, popularity, and network effect has 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.
For all that potential, however, the basin’s nascent mining community was beset by the sort of troubles that you would have found in any other boomtown. Mining technology was still so new that the early operations were constantly crashing. There was a growing, often bitter competition for mining sites that had adequate power, and whose landlords didn’t flip out when the walls got “Swiss-cheesed” with ventilation holes. There was the constant fear of electrical overloads, as coin-crazed miners pushed power systems to the limit—as, for example, when one miner nearly torched an old laundromat in downtown Wenatchee.
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In the zero-sum game that cryptocurrency has become, one man’s free money is another man’s headache. In the Mid-Columbia Basin, the latter category includes John Stoll, who oversees Chelan County Public Utility District’s maintenance crews. Stoll regards people like Benny as “rogue operators,” the utility’s term for small players who mine without getting proper permits and equipment upgrades, and whose numbers have soared in the past 12 months. Though only a fraction of the size of their commercial peers, these operators can still overwhelm residential electric grids. In extreme cases, insulation can melt off wires. Transformers will overheat. In one instance last year, the utility says, a miner overloaded a transformer and caused a brush fire.
Bitcoin miners were now caught in the same vicious cycle that real miners confront—except on a much more accelerated timeframe. To maintain their output, miners had to buy more servers, or upgrade to the more powerful servers, but the new calculating power simply boosted the solution difficulty even more quickly. In effect, your mine was becoming outdated as soon as you launched it, and the only hope of moving forward profitably was to adopt a kind of perpetual scale-up: Your existing mine had to be large enough to pay for your next, larger mine. Many miners responded by gathering into vast collectives, pooling their calculating resources and sharing the bitcoin rewards. Others shifted away from mining to hosting facilities for other miners. But whether you were mining or hosting, mining entered “a scaling race,” says Carlson, whose own operations marched steadily from 250 kilowatts to 1.5 megawatts to 5 megawatts. And it was a race: Any delay in getting your machines installed and mining simply meant you’d be coming on line when the coins were even harder to mine.

To add a new block to the chain, a miner has to finish what’s called a cryptographic proof-of-work problem. Such problems are impossible to solve without applying a ton of brute computing force, so if you have a solution in hand, it’s proof that you’ve done a certain quantity of computational work. The computational problem is different for every block in the chain, and it involves a particular kind of algorithm called a hash function.
Electricity cost: How many dollars are you paying per kilowatt? You’ll need to find out your electricity rate in order to calculate profitability. This can usually be found on your monthly electricity bill. The reason this is important is that miners consume electricity, whether for powering up the miner or for cooling it down (these machines can get really hot).
Bitcoin (BTC) is known as the first open-source, peer-to-peer, digital cryptocurrency that was developed and released by a group of unknown independent programmers named Satoshi Nakamoto in 2008. Cryptocoin doesn’t have any centralized server used for its issuing, transactions and storing, as it uses a distributed network public database technology named blockchain, which requires an electronic signature and is supported by a proof-of-work protocol to provide the security and legitimacy of money transactions. The issuing of Bitcoin is done by users with mining capabilities and is limited to 21 million coins. Currently, Bitcoin’s market cap surpasses $138 billion and this is the most popular kind of digital currency. Buying and selling cryptocurrency is available through special Bitcoin exchange platforms or ATMs.
Bitcoin is in the very early stages of acceptance, and although it is already accepted as a means of payment by numerous merchants, it has yet to become more widely accepted and “mainstream.” This could change, however, as more and more users are attracted to cryptocurrencies for the various potential benefits they may provide. In fact, investors have been flocking to the currency in significant numbers, and some even feel that eventually Bitcoin and other cryptocurrencies could replace other traditional payment methods.
Numerous people have been suggested as possible Satoshi Nakamotos by major media outlets. On Oct. 10, 2011, The New Yorker published an article speculating that Nakamoto might be Irish cryptography student Michael Clear, or economic sociologist Vili Lehdonvirta. A day later, Fast Company suggested that Nakamoto could be a group of three people – Neal King, Vladimir Oksman and Charles Bry – who together appear on a patent related to secure communications that was filed two months before was registered. A Vice article published in May 2013 added more suspects to the list, including Gavin Andresen, the Bitcoin project’s lead developer; Jed McCaleb, co-founder of now-defunct Bitcoin exchange Mt. Gox; and famed Japanese mathematician Shinichi Mochizuki. 
The concept of web mining is very controversial. From the site’s visitor perspective, someone is using their computer without consent to mine Bitcoins. In extreme cases, this can even harm the CPU due to overheating. From the site owner’s perspective, web mining has become a new way to monetize websites without the need for the placement of annoying ads. Also, the site owner can control how much of the visitor’s CPU he wants to control in order to make sure he’s not abusing his hardware.
Although there are no guarantees that Bitcoin will continue to rise in value, the future does look bright for this exciting cryptocurrency. Unlike leveraged instruments, you can rest assured that your exposure to Bitcoin is limited to what you pay for it. (This does not apply to Bitcoin or other cryptocurrency derivatives that may be leveraged or shorted).
Bitcoin mining is so called because it resembles the mining of other commodities: it requires exertion and it slowly makes new units available to anybody who wishes to take part. An important difference is that the supply does not depend on the amount of mining. In general changing total miner hashpower does not change how many bitcoins are created over the long term.
The buttons are used to confirm transactions. In order to send a transaction, you must physically press or hold buttons on the devices. This is a security feature. If a hacker were to access the hardware wallet somehow, the hacker still would not be able to send a TX without physical access to the buttons. Read more about this in TREZOR’s security philosophy.
Correction (Dec. 18, 2013): An earlier version of this article incorrectly stated that the long pink string of numbers and letters in the interactive at the top is the target output hash your computer is trying to find by running the mining script. In fact, it is one of the inputs that your computer feeds into the hash function, not the output it is looking for.
Every 2,016 blocks (approximately 14 days at roughly 10 min per block), the difficulty target is adjusted based on the network's recent performance, with the aim of keeping the average time between new blocks at ten minutes. In this way the system automatically adapts to the total amount of mining power on the network.[3]:ch. 8 Between 1 March 2014 and 1 March 2015, the average number of nonces miners had to try before creating a new block increased from 16.4 quintillion to 200.5 quintillion.[80]