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Base-N Number Validator

Verify if a number string is mathematically valid for any chosen radix (base 2 through 36). Designed for software developers, electrical engineers, students, and computer architecture researchers requiring deterministic client-side accuracy.

Engine: Client-Side Verified (0ms Latency)

Enter a string and select the radix to test.

Calculated Output

Primary Representation
Calculating...

Step-by-Step Mathematical Proof

Active Derivation
Ready. Enter input above to generate derivation.
Concept

What Is Base-N Number Validator?

The Base-N Number Validator confirms whether an input string adheres strictly to the rules of a specified base N (where 2 <= N <= 36).

Methodology

How Does It Work?

Scans every character and ensures its digit value is strictly less than N. Reports invalid characters and index locations.

Formula & Rules

Mathematical Algorithm

\forall c_i, \quad 0 \le \text{val}(c_i) < N
Worked Problem

Step-by-Step Example

Validate "78A2" in base 10: Character "A" at index 2 is invalid for base 10 (base 10 only allows 0-9). Status: INVALID.

Important Rules & Edge Cases

  • Every character must be less than the base.

Practical Applications in Engineering

  • Form input validation before running radix conversions in code.
  • Sanitizing user inputs.

Common Mistakes to Avoid

  • Caution: Testing a number against the wrong base.
FAQ

Frequently Asked Questions

Can a number valid in base 8 also be valid in base 10?

Yes, because all valid octal digits (0-7) are also valid decimal digits.