Define binary code and hexadecimal code.

Binary Code:

Binary code is a system of representing information using only two symbols, typically "0" and "1". It is the fundamental language of computers, as they process and store data in terms of electronic on/off states, which correspond to these binary digits. Each digit in a binary number is called a "bit" (short for binary digit).

In binary code, each digit represents an increasing power of 2. For example:

1 in binary is 1

10 in binary is 2 (1 * 2^1)

11 in binary is 3 (1 * 2^1 + 1 * 2^0)

100 in binary is 4 (1 * 2^2)

Binary code is the most basic form of data representation in computers and forms the foundation for more complex data structures and programming languages.

Hexadecimal Code:

Hexadecimal code (often referred to as hex code) is a base-16 number system that uses sixteen distinct symbols: the numbers 0-9 and the letters A-F (or a-f) to represent values. It's commonly used to represent binary-coded values in a more compact and human-readable format. Hexadecimal is particularly useful in digital systems because it provides a more concise representation of large binary values.

In hexadecimal, each digit represents an increasing power of 16. For example:

1 in hexadecimal is 1

A in hexadecimal is 10 (A = 10 in decimal)

1F in hexadecimal is 31 (1 * 16^1 + 15 * 16^0 = 31 in decimal)

Hexadecimal is often used in programming and computing contexts to represent memory addresses, color codes, and other values that would be cumbersome to express in binary or decimal.

In summary, binary code is the representation of data using two symbols (0 and 1), while hexadecimal code is the representation of data using sixteen symbols (0-9 and A-F). Both systems are crucial for understanding and working with digital information in computers and other electronic devices.