Negative Base Converter

The Negative Base Converter utilizes the concept of negative radix representation, which extends standard positional numeral systems. Instead of using positive bases (like binary base 2 or decimal base 10), this tool allows conversion using a negative integer base 'b'.

When converting from a standard number system to a negative base, the algorithm repeatedly divides the input number by the absolute value of the base and tracks the remainders. However, due to the negative nature of the base, careful handling of signs is required at each step.

• Input: You provide a number and its current base (e.g., 25 in base 10).
• Conversion Logic: The tool applies the generalized formula for negative bases, ensuring that the resulting digits correctly represent the value within the given negative radix system.
• Output: It provides the equivalent representation in the chosen negative base, along with reference tables for verification.

To maximize the accuracy and utility of your conversions, approach the tool systematically. Always verify your initial understanding of the number system you are starting with.

• Start Simple: When learning, begin by converting small, easily verifiable numbers (like 5 or 8) to establish a baseline understanding of the negative radix mechanics.
• Cross-Check: If possible, perform the same conversion using an alternative method (like manual division/remainder tracking) to confirm the tool's output.
• Use Reference Tables: Utilize the provided reference tables within the converter for common negative bases (e.g., base -2) to quickly verify digit placement and value assignments.