Bitcoin is a peer-to-peer version of electronic cash that allows payments to be sent directly from one party to another without going through a financial institution. The network timestamps transactions by hashing them into an ongoing chain of hash-based proof-of-work, forming a record that cannot be changed without redoing the proof-of-work. – Satoshi Nakamoto
Bitcoin is a type of cryptocurrency: Balances are kept using public and private "keys," which are long strings of numbers and letters linked through the mathematical encryption algorithm that was used to create them. The public key (comparable to a bank account number) serves as the address which is published to the world and to which others may send bitcoins. The private key (comparable to an ATM PIN) is meant to be a guarded secret, and only used to authorize Bitcoin transmissions.
A specific problem that an internet payment system must solve is double-spending, whereby a user pays the same coin to two or more different recipients. An example of such a problem would be if Eve sent a bitcoin to Alice and later sent the same bitcoin to Bob. The bitcoin network guards against double-spending by recording all bitcoin transfers in a ledger (the blockchain) that is visible to all users, and ensuring for all transferred bitcoins that they haven't been previously spent.[14]:4

The influx in malware led some online companies to implement protective measures for their users. Google announced in a blog post in April that it would no longer allow browser extensions in its Web Store that mine cryptocurrencies. The online store allows for users to pick extensions and apps that personalize their Chrome web browser, but the company noted that the “capabilities have attracted malicious software developers who attempt to abuse the platform at the expense of users.”

An ASIC (application-specific integrated circuit) is a microchip designed for a special application, such as a particular kind of transmission protocol or a hand-held computer.  An ASIC is a chip designed specifically to do only one task. Unlike FPGAs, an ASIC cannot be repurposed to perform other tasks. An ASIC designed to mine Bitcoins can only mine Bitcoins and will only ever mine Bitcoins. The inflexibility of an ASIC is offset by the fact that it offers a 100x increase in hashing power compared to the CPU and GPUs, while reducing power consumption compared to all the previous technologies.

No. 1: Paper wallet or other cold storage. A paper wallet is simply a document that contains all the information you need to generate the bitcoin private keys you need. It often takes the form of a piece of paper with a QR code that can be scanned into a software wallet when you so desire. By storing your bitcoin offline, trusting nothing and no one but yourself, and if you have all the information you need to control and access your bitcoin, you're using the strongest "cold storage" method out there.
Anyone who can run the mining program on the specially designed hardware can participate in mining. Over the years, many computer hardware manufacturers have designed specialized Bitcoin mining hardware that can process transactions and build blocks much more quickly and efficiently than regular computers, since the faster the hardware can guess at random, the higher its chances of solving the puzzle, therefore mining a block.
For the bitcoin timestamp network, a valid proof of work is found by incrementing a nonce until a value is found that gives the block's hash the required number of leading zero bits. Once the hashing has produced a valid result, the block cannot be changed without redoing the work. As later blocks are chained after it, the work to change the block would include redoing the work for each subsequent block.

If the random number generator is not random enough, that means someone else can recreate the private key of the hardware wallet easier. This attack has happened in the past with, a web wallet. Over 300 BTC were lost because did not use good RNG, so a hacker was able to generate the private keys again and steal coins.
In January 2009, the bitcoin network was created when Nakamoto mined the first block of the chain, known as the genesis block.[18][19] Embedded in the coinbase of this block was the following text: "The Times 03/Jan/2009 Chancellor on brink of second bailout for banks."[10] This note has been interpreted as both a timestamp and a comment on the instability caused by fractional-reserve banking.[20]:18