0o16240

0o16240 is a number represented in octal numeral system. In this system, each digit represents a power of 8. The prefix "0o" is a common convention to denote an octal number. To convert 0o16240 to its decimal equivalent, we perform the following calculation: (1 * 8^4) + (6 * 8^3) + (2 * 8^2) + (4 * 8^1) + (0 * 8^0). This expands to (1 * 4096) + (6 * 512) + (2 * 64) + (4 * 8) + (0 * 1), which results in 4096 + 3072 + 128 + 32 + 0 = 7328 in decimal.

The octal numeral system, also known as base-8, uses eight distinct symbols to represent numbers: 0, 1, 2, 3, 4, 5, 6, and 7. It was historically used in some computing contexts, particularly with older mainframe systems, due to its efficiency in representing binary data. Each octal digit can represent exactly three binary digits (bits), as 2^3 = 8. For example, the octal digit 1 is 001 in binary, 6 is 110 in binary, and so on. This made it convenient for programmers to group binary bits into threes.

In the context of 0o16240, the digits 1, 6, 2, 4, and 0 occupy positions representing powers of 8, starting from 8^0 on the rightmost side and increasing towards the left. The value of 0o16240 in hexadecimal (base-16) can be found by first converting it to binary and then grouping the binary digits into fours. The binary representation of 0o16240 is 111001010000. Grouping this into fours from the right, we get 1110 0101 0000, which translates to E, 5, and 0 in hexadecimal, making it 0xE50.

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