Radixnote

An exact numeral notebook

Change the base.
Keep the value.

Convert a signed integer, finite fraction or integer ratio between bases 2–36. Repeating digits stay visible. A shortened display never replaces the exact value.

No floating-point roundingRuns in your browserAlways free
Same rational value
101.012
=
5.2510
21 / 4, exactly

01 / Enter a value

What are we converting?

Examples: 101.01, -A.F, or 1/3. Both ratio terms use the input base. Use a positive denominator.

1–256 digits after the radix point. Exact ratios are retained even if the expansion needs more digits.

Digits 0–9 and A–Z; letters mean 10–35. No automatic prefixes or exponent syntax. Input:8192 characters,4096 digits per numeral/ratio term; reduced terms up to 2048 bits. Why these limits?

Finite

It ends.

101.01₂ = 5.25₁₀. The final remainder is zero, so every required digit is shown.

Repeating

It cycles.

1/3 = 0.(01)₂. Parentheses mark the block that repeats forever.

Truncated prefix

The display stops.

1/7 = 0.1428…₁₀ at a four-digit limit. Read the exact ratio, not the prefix, as the full value.

Exact is a property of the value, not the number of digits.

A fraction can end in one base and repeat in another. Radixnote uses exact integers and remainders to tell the difference. No number is first squeezed into a binary floating-point approximation.

Follow the worked examples