0x1348

0x1348 is a hexadecimal number, which is a base-16 numeral system. In the decimal system, 0x1348 is equivalent to 4936. Hexadecimal is commonly used in computer science and digital electronics due to its close relationship with binary. Each hexadecimal digit can represent four binary digits (bits). The prefix "0x" is a common convention to indicate that a number is written in hexadecimal.

Converting 0x1348 to decimal involves multiplying each digit by its corresponding power of 16 and summing the results. The digits are 1, 3, 4, and 8, from left to right. The position of the digit determines the power of 16. Starting from the rightmost digit, the powers are 16^0, 16^1, 16^2, and 16^3. Thus, the calculation is (1 * 16^3) + (3 * 16^2) + (4 * 16^1) + (8 * 16^0). This expands to (1 * 4096) + (3 * 256) + (4 * 16) + (8 * 1), which equals 4096 + 768 + 64 + 8, totaling 4936.

In binary, 0x1348 would be represented by converting each hexadecimal digit into its 4-bit binary equivalent. 1 is 0001, 3 is 0011, 4 is 0100, and 8 is 1000. Concatenated, this forms the binary number 00010011100001000. This conversion is fundamental for understanding how computers process and store data, as they operate on binary information.