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Bitcoin Wallet

Introduction

A Bitcoin wallet is a device or program used to send and receive bitcoins.

However, unlike real-world wallets, a Bitcoin wallet does not store bitcoins but rather stores "private keys."

Private Keys

From a practical standpoint, a private key is simply a number (within a certain range) that can be used to spend funds (which is why we need to safeguard private keys carefully). From a mathematical perspective, a private key is a randomly generated positive integer.

Here is a more precise description from a technical perspective:

A private key is a number obtained through a random number generator within a specific range of positive numbers, possessing cryptographically strong randomness.

In most cases, computers use a Pseudo-Random Number Generator (PRNG) to generate these random positive integers (truly random number generators are difficult to find; they typically require specialized hardware and use physical sources such as thermal noise in circuits or precise timing from Geiger counters). A PRNG is a cryptographically strengthened function that requires an input value with sufficiently high entropy as a random seed.

Entropy is a complex concept, but its purpose is simple: to bring unpredictability to the function. By using a secure entropy source, a PRNG can create pseudo-random numbers whose non-randomness probability is negligible (within an acceptable specific range).

When creating an Ethereum or Bitcoin private key, the PRNG's value range is from 1 to 2^256 - 1 (imagine a combination lock consisting of digits 0 through 9 that is 78 digits long). Since this range is so large, the probability of generating two identical private keys is negligibly small, which is why other users are unlikely to create a private key identical to yours. Your private key is selected from an enormous set of integers - nearly equal to the total number of visible atoms in the entire universe.

Purpose of Bitcoin Wallets

A Bitcoin wallet is a device or program that manages your Bitcoin private keys. Private keys can access addresses containing the user's Bitcoin information, and through cryptographic commands, bitcoins can be spent. Without a Bitcoin wallet, Bitcoin owners cannot receive, store, or spend bitcoins. In summary, a Bitcoin wallet provides digital storage services, storing private keys for Bitcoin holders to securely store their bitcoins.

Difference Between Bitcoin Wallets and Bitcoin Exchanges

Bitcoin exchanges primarily help holders trade and buy/sell bitcoins, while Bitcoin wallets are primarily used to store and manage Bitcoin assets.

  • From a security perspective: Bitcoin exchanges need to store user account and asset information on servers, so exchange security depends on server security; Bitcoin wallets store user private keys on local devices, so their security depends on the user's own device.
  • From a usability perspective: For novice users, Bitcoin wallets typically offer simple and easy-to-use functionality - users just need to install the wallet application and perform basic setup to use Bitcoin transactions. In comparison, Bitcoin exchanges require users to go through multiple registration and verification steps, as well as understanding trading rules. Of course, once users are familiar with the Bitcoin trading process and master exchange trading rules and risk management techniques, using a Bitcoin exchange for trading becomes more convenient and flexible.
  • From a transaction fee perspective: Bitcoin exchanges typically charge fees for buying and selling bitcoins, generally calculated based on the Bitcoin market price and trading volume. In contrast, Bitcoin wallets typically do not charge additional fees for user trading activity. However, both Bitcoin exchanges and Bitcoin wallets need to pay network transaction fees to ensure that transactions are confirmed by the Bitcoin network.