0x13FA

0x13FA is a hexadecimal representation of a number. In decimal form, 0x13FA is equivalent to 5114. The prefix "0x" is a common convention in many programming languages and contexts to denote that the following digits are in base 16. The digits themselves, 1, 3, F, and A, correspond to their respective values in the hexadecimal system: 1 is 1, 3 is 3, F is 15, and A is 10.

The hexadecimal system is a positional numeral system with a base of 16. It uses sixteen distinct symbols, typically the digits 0-9 and the letters A-F, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15. This system is widely used in computing and digital electronics because it provides a more human-readable representation of binary-coded values. For example, a single hexadecimal digit can represent four binary digits (bits), making it easier to express large binary numbers.

In the context of 0x13FA, each hexadecimal digit can be converted to its 4-bit binary equivalent:

1 in hexadecimal is 0001 in binary.

3 in hexadecimal is 0011 in binary.

F in hexadecimal is 1111 in binary.

A in hexadecimal is 1010 in binary.

Concatenating these, 0x13FA in binary is 0001 0011 1111 1010, which is 1001111111010 in binary after removing leading zeros. Converting this binary number to decimal confirms the initial decimal value of 5114.