Hex to Binary

Hexadecimal (Hex) Number: Hexadecimal is a base-sixteen numeral system that uses sixteen symbols: 0-9 and A-F, where A represents 10, B represents 11, and so on up to F representing 15. It's commonly used in computing for representing binary-coded values in a more compact form.

Hexadecimal Number Example: An example of a hexadecimal number is 2F8A. Each digit in a hexadecimal number represents a power of 16, with the rightmost digit representing 16^0, the next representing 16^1, and so on.

Binary Number: A binary number is a numeral system based on base-two, using only two digits: 0 and 1. It's commonly used in computing and digital electronics.

Binary Number Example: An example of a binary number is 110101. Each digit represents a power of 2, with the rightmost digit representing 2^0, the next representing 2^1, and so on.

Conversion Process: Hexadecimal to Binary

1. Assign Binary Values to Hexadecimal Digits: Assign binary values to each hexadecimal digit based on its position and the base-16 system.
2. Combine Binary Digits: Combine the binary values obtained from each hexadecimal digit to form the final binary number.

Example: Convert Hexadecimal 2F8A to Binary

Hexadecimal Number: 2F8A

Assign Binary Values:
2 (0010 in binary)
F (1111 in binary)
8 (1000 in binary)
A (1010 in binary)

Combine Binary Digits:
0010 1111 1000 1010

Therefore, the binary representation of the hexadecimal number 2F8A is 0010111110001010.