Number Patterns
Spot the rule behind each sequence with a free, browser-based logic game. Arithmetic, geometric, square, and Fibonacci patterns included.
Logic & PuzzlesBinary Numbers
Each position is worth twice the one to its right. Below: the place-value row that makes every conversion mechanical.
Choose your difficulty
Pick a level to start playing. You can switch at any time.
How to play
Read the binary string and tap its decimal value.
Tip: your progress and best score are saved in this browser only.
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Logic & PuzzlesWhat you are actually practicing
Binary is the base-2 number system: each position is worth twice the one to its right, so the places from right to left are 1, 2, 4, 8, 16, 32, 64, and 128. A 1 means "include this place" and a 0 means "skip it." Reading 1011 therefore means 8 + 0 + 2 + 1, which is 11.
This game trains exactly that translation, and it is the single most useful piece of computer literacy you can pick up in a few minutes: it explains why computers use 8, 16, 32, and 64 as familiar sizes, and why storage never quite matches the number on the box.
How the game works
You see a binary string and must give its decimal value. Four choices, a countdown, and an immediate reveal when you miss. Your score and best score stay in this browser only.
Easy uses short strings. Medium and hard use longer ones, where the place values reach 64 and 128 and skipping one bit changes the answer a lot.
The reliable method
Write the place values above the digits, from right to left: 128, 64, 32, 16, 8, 4, 2, 1. Then add up only the places where the digit is 1. That is the whole procedure, and it never fails.
With practice you stop writing the row out. 10000000 is immediately 128, and 11111111 is immediately 255, because all eight places are included.
Strategies that actually move your score
Check the leftmost bit first. It carries the largest value and dominates the answer. Getting it wrong costs more than any other digit.
Count the 1s as a rough size check. More 1s generally means a larger number, though position matters more than count.
Memorise the landmark values. All zeros except the leftmost gives the place value itself; all 1s in eight bits gives 255.
Common mistakes, and the fix for each
Mistake: reading the bits as decimal digits. 1011 is eleven, not one thousand and eleven. The fix is the place-value row, which makes the positions explicit.
Mistake: starting the place values from the left. The 1s place is on the right. The fix is to label the row from right to left every time.
Mistake: skipping a zero place. A 0 contributes nothing, but it still shifts everything to its left. The fix is to include the zero places when writing the row.
A short, honest FAQ
Do I need to install anything? No. It runs in any modern browser.
Is this useful outside computing? It is the clearest way to understand how place value works at all, which is why teachers use it even for students who never touch code.
What age is it for? Roughly grades 6 and up.