When 2^n Approximations Break Down: Rounding and Precision
Know when 2^10≈1000 and doubling models fail and exact integer 2^n values are required.
Troubleshooting & Tips
Common mistakes and tips with exponents of two.
Debugging Off-by-One Errors in Bit Shift Code
Find and fix mask, capacity, and signed-shift bugs when using 1<
Confusing KB with KiB: File Size Discrepancies Explained
Diagnose missing gigabytes and upload limit failures caused by decimal versus binary prefixes.
Why Your Calculator Shows Wrong Results for 2^64
Floating-point precision limits cause wrong large 2^n results—use exact integer tools instead.
Integer Overflow and Large Powers of Two
Recognize 2^31, 2^32, and 2^63 overflow boundaries and prevent silent wrap in code.
Common Mistakes When Calculating 2^n
Fix confusion between 2^n and 2×n, exponent rule errors, and bits-versus-bytes slips.