This calculator converts values among binary, decimal, octal, and hexadecimal for programmers, students, and people deciphering machine-friendly numbers.
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Choose the number system of the input, enter the value, then select the output system. Binary uses digits 0 and 1, octal uses 0 through 7, decimal uses 0 through 9, and hexadecimal adds A through F for values 10 through 15.
A positional number equals the sum of each digit × base^position, counting positions from 0 at the right. For example, binary 1011 = 1 × 2³ + 0 × 2² + 1 × 2¹ + 1 × 2⁰.
Binary 1011 equals decimal 11. The same value is octal 13 and hexadecimal B.
A base-16 system needs six digits beyond 0 through 9. A through F represent decimal values 10 through 15.
No. Binary 00101 and 101 both equal decimal 5, though leading zeros may be kept to show a fixed bit width.
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