Distance to Next Power of Two Calculator
Calculate how far a nonnegative integer is from the next power of two that is greater than or equal to it.
Description
Calculate how far a nonnegative integer is from the next power of two that is greater than or equal to it.
Calculate how far a nonnegative integer is from the next power of two that is greater than or equal to it.
When to use Distance to Next Power of Two Calculator
Use this calculator to verify a hand calculation, normalize a value before another tool, or make the exact arithmetic convention explicit in a reproducible workflow.
- Integer
- An integer input greater than or equal to 0.
How the calculation works
The formula below determines the tool output. Distance: The calculated distance.1
distance = 1 for value = 0; otherwise 2^ceil(log₂ value) − value Limitations and assumptions
Calculations use JavaScript number arithmetic. Binary floating-point representation can make some decimal results inexact, and values outside the supported numeric range can overflow or lose precision. Round only for presentation unless the selected rounding tool is itself the intended operation.
Alternative or Complementary approaches
Use the inverse operation to check a result when one exists: addition pairs with subtraction, multiplication with division, and powers with roots. For rounding or normalization tools, retain the unmodified value when later calculations still require full precision.
References
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Power of two — Wikipedia contributors
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