Enter your number, choose a precision, and get instant results. Perfect for computer science, algorithms, and binary analysis.
Display precise integer results.
Paste list → export results.
See MSB index instantly.
Simple tools for complex binary and logarithmic projects.
Built for engineers who love clarity. Instantly analyze bit length, MSB, and power-of-two logic with clean, reliable binary behavior that never breaks.
See every step of the calculation. Change-of-base and logarithmic transformations are shown transparently so you always understand exactly how each result was formed.
Work faster with batch paste, auto-formatted tables, quick export, and one-click copy. Designed for students, analysts, and developers handling repetitive binary tasks.
Drop in dozens of values at once and instantly convert them into a clean, ready-to-download CSV for analysis, reporting, or precision engineering work.
Control your results with adjustable precision from 0–12 decimals. Ideal for scientific work, data engineering, and any situation where accuracy truly matters.
Watch your numbers come alive as the marker tracks y = log₂(x) in real time—perfect for visual learners, debugging, and exploring binary growth patterns.
Guesswork leads to bugs. Our calculator helps you determine exactly what you need, reducing errors and optimizing your data structures.
Simply type your value. We handle integers, decimals, and large numbers.
See the log value, bit length, and power-of-two status instantly.
Copy the result or download a CSV for your reports.
Common questions about log base 2 calculation.
The graph shows x from 0.05 up to 32, with grid lines placed at each power of two so you can see how log2(x) behaves between those key points.
The calculator uses the standard change-of-base identity log2(x) = ln(x) / ln(2). The same method is used in the step-by-step explainer so you can see each stage clearly.
Yes. Both x in log2 mode and y in the 2^y mode can be decimal values. Results are shown with the precision you set in the controls.
Real-valued logarithms require x greater than zero. If you enter zero or a negative number, the app shows a clear error message instead of a numeric result.
For an integer n ≥ 1, bit length is defined as floor(log2(n)) + 1. It is the position of the most significant 1 bit in the binary form of n and tells you how many bits are needed to store the value.
The app uses bigint-safe bit operations to test whether the value has exactly one bit set in its binary representation. If it does, it is an exact power of two.
Yes, but extremely large exponents may overflow the normal number range in JavaScript. When that happens, the result may be shown as Infinity or lose precision.
Yes. The vertical marker on the graph follows your current x value in log2 mode or your 2^y result in the exponent mode, so you can see exactly where you are on the curve.
Yes. Use “Download CSV” or “Copy as CSV” to move your batch results into Excel, Google Sheets or any other analysis tool.
Yes. The calculator, step-by-step explanation, graph and batch table are designed to make log base 2 easier to demonstrate in lectures, tutorials and workshops.
Get precise estimates in seconds and stop guessing. Perfect for developers, students, and engineers.