Decimal Fraction Generator
Create uniform random numbers in the [0,1] interval
Tip: Use these numbers for probability simulations, Monte Carlo methods, or any application requiring uniform random fractions.
Range Options
Advanced Options
Generated Fractions
Applications of Uniform Fractions
Statistical Simulations
- Monte Carlo methods
- Probability experiments
- Random sampling
Mathematical Uses
- Numerical analysis
- Algorithm testing
- Random seed generation
About Uniform Distribution
Equal Probability
In a uniform distribution, every number in the range has exactly the same probability of being selected. This makes these numbers ideal for fair random selection and probability simulations.
Range Variations
The [0,1] range can be inclusive, half-open, or open. The choice affects whether the endpoints (0.0 and/or 1.0) can appear in your results, which matters for certain mathematical applications.
Precision Matters
The number of decimal places affects the granularity of your results. More decimal places means more possible distinct values, which is important for high-precision applications.
Frequently Asked Questions
What's the difference between [0,1] and [0,1)?
[0,1] includes both endpoints (can generate exactly 0.0 and 1.0), while [0,1) includes 0.0 but excludes 1.0. The mathematical notation [a,b] means "all numbers x where a ≤ x ≤ b".
How many unique values can be generated?
For N decimal places, there are 10N possible values in [0,1). With "Full Precision", you get about 253 possible values (JavaScript's floating-point precision).
Are these numbers cryptographically secure?
Yes, we use the Web Crypto API for true randomness, not Math.random(). This makes the numbers suitable for security-sensitive applications.
Can I generate numbers in a different range?
This tool specifically generates [0,1] values. You can easily transform them to any range [a,b] by multiplying by (b-a) and adding a.
Why would I exclude certain values?
Some applications require avoiding specific values (like 0.5 in certain midpoint calculations). The exclusion feature lets you customize your number set.