Arithmetic laboratory
Six cards and number systems
Explore bases 2 to 16, discover the six-card trick and practise reading numbers in other systems.
Read the explanation →From one base to another, step by step
Use digits 0–9 and, above base 10, letters A–F. Non-negative integers of up to 40 digits are accepted.
Steps
Guess the number with six cards
Think of an integer from 1 to 63. Look at each card and say whether it contains your number. We then add the first numbers on the selected cards.
Switch on powers of 2
Each light is worth the number above it. Switch on the lights needed to reach the target.
Target
Ten conversions to solve
Enter the number in the requested base. Questions alternate base x → 10, 10 → base y and base x → base y.