Keys come in pairs. The public key is used to encrypt the message whereas the private key decrypts the message. The only person with the private key is you. Everyone else is free to have your public key. As a result, everyone can send you encrypted messages without having to agree on a key beforehand. They simply use your public key and you untangle the gibberish by using your private key.

Mobile wallets overcome the handicap of desktop wallets, as the latter are fixed in one place. These take the form of paid apps on youOnce you run the app on your smartphone, the wallet can carry out the same functions as a desktop wallet, and help you pay directly from your mobile from anywhere. Thus a mobile wallet facilitates in making payments in physical stores by using "touch-to-pay" via NFC scanning a QR code. Bitcoin Wallet, Hive Android and Mycelium Bitcoin Wallet are few of the mobile wallets. Bitcoin wallets do not generally work on both iOS and Android systems. It's advisable to research your preferred mobile Bitcoin wallet as several malware softwares posing as Bitcoin wallets can be 

You can look at this hash as a really long number. (It's a hexadecimal number, meaning the letters A-F are the digits 10-15.) To ensure that blocks are found roughly every ten minutes, there is what's called a difficulty target. To create a valid block your miner has to find a hash that is below the difficulty target. So if for example the difficulty target is
Gradually, people moved to GPU mining. A GPU (graphics processing unit) is a special component added to computers to carry out more complex calculations. GPUs were originally intended to allow gamers to run computer games with intense graphics requirements. Because of their architecture, they became popular in the field of cryptography, and around 2011, people also started using them to mine bitcoins. For reference, the mining power of one GPU equals that of around 30 CPUs.
More broadly, the region is watching uneasily as one of its biggest natural resources—a gigantic surplus of hydroelectric power—is inhaled by a sector that barely existed five years ago and which is routinely derided as the next dot-com bust, or this century’s version of the Dutch tulip craze, or, as New York Times columnist Paul Krugman put it in January, a Ponzi scheme. Indeed, even as Miehe was demonstrating his prospecting chops, bitcoin’s price was already in a swoon that would touch $5,900 and rekindle widespread doubts about the future of virtual currencies.
There will be stepwise refinement of the ASIC products and increases in efficiency, but nothing will offer the 50x to 100x increase in hashing power or 7x reduction in power usage that moves from previous technologies offered. This makes power consumption on an ASIC device the single most important factor of any ASIC product, as the expected useful lifetime of an ASIC mining device is longer than the entire history of bitcoin mining.
Nigel Dodd argues in The Social Life of Bitcoin that the essence of the bitcoin ideology is to remove money from social, as well as governmental, control.[124] Dodd quotes a YouTube video, with Roger Ver, Jeff Berwick, Charlie Shrem, Andreas Antonopoulos, Gavin Wood, Trace Meyer and other proponents of bitcoin reading The Declaration of Bitcoin's Independence. The declaration includes a message of crypto-anarchism with the words: "Bitcoin is inherently anti-establishment, anti-system, and anti-state. Bitcoin undermines governments and disrupts institutions because bitcoin is fundamentally humanitarian."[124][123]

Bitcoin is a digital asset designed to work in peer-to-peer transactions as a currency.[5][128] Bitcoins have three qualities useful in a currency, according to The Economist in January 2015: they are "hard to earn, limited in supply and easy to verify".[129] However, as of 2015 bitcoin functions more as a payment processor than as a currency.[130][30]
You can buy bitcoins at online exchanges similar to a paypal account. Companies like Coinbase allow you to buy bitcoin with a credit card along with wire transfers, checks and ACH. You can also use professional exchanges like Coinbase Pro that allow for institutional investors and experienced traders to trade in high volumes in a variety of cryptocurrencies with minimal fees.
In March 2013 the blockchain temporarily split into two independent chains with different rules. The two blockchains operated simultaneously for six hours, each with its own version of the transaction history. Normal operation was restored when the majority of the network downgraded to version 0.7 of the bitcoin software.[36] The Mt. Gox exchange briefly halted bitcoin deposits and the price dropped by 23% to $37[37][38] before recovering to previous level of approximately $48 in the following hours.[39] The US Financial Crimes Enforcement Network (FinCEN) established regulatory guidelines for "decentralized virtual currencies" such as bitcoin, classifying American bitcoin miners who sell their generated bitcoins as Money Service Businesses (MSBs), that are subject to registration or other legal obligations.[40][41][42] In April, exchanges BitInstant and Mt. Gox experienced processing delays due to insufficient capacity[43] resulting in the bitcoin price dropping from $266 to $76 before returning to $160 within six hours.[44] The bitcoin price rose to $259 on 10 April, but then crashed by 83% to $45 over the next three days.[34] On 15 May 2013, US authorities seized accounts associated with Mt. Gox after discovering it had not registered as a money transmitter with FinCEN in the US.[45][46] On 23 June 2013, the US Drug Enforcement Administration (DEA) listed 11.02 bitcoins as a seized asset in a United States Department of Justice seizure notice pursuant to 21 U.S.C. § 881.[47] This marked the first time a government agency had seized bitcoin.[48][49] The FBI seized about 26,000 bitcoins in October 2013 from the dark web website Silk Road during the arrest of Ross William Ulbricht.[50][51][52] Bitcoin's price rose to $755 on 19 November and crashed by 50% to $378 the same day. On 30 November 2013 the price reached $1,163 before starting a long-term crash, declining by 87% to $152 in January 2015.[34] On 5 December 2013, the People's Bank of China prohibited Chinese financial institutions from using bitcoins.[53] After the announcement, the value of bitcoins dropped,[54] and Baidu no longer accepted bitcoins for certain services.[55] Buying real-world goods with any virtual currency had been illegal in China since at least 2009.[56]