How to Learn the Powers of Two
The powers of two are the backbone of computing — bytes, memory sizes, colour depths and binary all run on them. Knowing 2⁰ through 2¹⁶ by heart makes you fluent in anything digital. This deck drills the sequence.
There are 17 cards in the deck below. You can read through them, practise them right here with the flip-card player, and then save the deck to study properly with spaced repetition — the method that makes them stick for months, not minutes.
Why the powers of two is hard to memorize (and the fix)
They double each time, so a small slip compounds fast. The "computer" values (256, 1024, 65536) are the ones worth knowing cold because they appear everywhere in tech.
The fix is active recall plus spaced repetition. Instead of re-reading the list (which feels productive but barely works), you test yourself — pull each answer out of memory — and you review each card on a schedule that stretches over time. Every time you successfully recall a fact, the memory gets stronger and the next review is pushed further out. That's how you go from "I saw it once" to "I just know it."
The fastest way to learn the powers of two
- Break it into small batches. Learn 2⁰ to 2¹⁰ first (the everyday ones ending at 1024 = 1K), then extend to 2¹⁶ = 65536.
- Test, don't re-read. Look at the question, say the answer out loud before flipping the card. The little struggle to recall is what builds the memory — a smooth re-read does almost nothing.
- Review on a schedule. Spaced repetition shows you each card right before you'd forget it. Get one right and it comes back in a few days, then a week, then a month. Miss one and it comes back sooner.
- Keep sessions short and daily. Five to ten minutes a day beats a two-hour cram every time. Consistency is the whole game.
One fact per card. Learn the exponent too — coders think "2 to the what?" as often as the value itself.
The full deck: the Powers of Two
Here's every card in the set. Practise them above, or save the deck and let spaced repetition schedule your reviews automatically.
| Power | Value |
|---|---|
| 2^0 = ? | 1 |
| 2^1 = ? | 2 |
| 2^2 = ? | 4 |
| 2^3 = ? | 8 |
| 2^4 = ? | 16 |
| 2^5 = ? | 32 |
| 2^6 = ? | 64 |
| 2^7 = ? | 128 |
| 2^8 = ? | 256 |
| 2^9 = ? | 512 |
| 2^10 = ? | 1024 |
| 2^11 = ? | 2048 |
| 2^12 = ? | 4096 |
| 2^13 = ? | 8192 |
| 2^14 = ? | 16384 |
| 2^15 = ? | 32768 |
| 2^16 = ? | 65536 |
Save this deck and actually remember it
Create a free account, keep this 17-card deck, and we'll schedule every review at the perfect moment. First deck free forever — no credit card.
Study this deck free →FAQ: learning the powers of two
How long does it take to learn the powers of two?
Most people can lock in the powers of two within one to three weeks of short daily sessions. With spaced repetition doing 10–17 cards a day, you'll recognise them within days and recall them reliably within a couple of weeks.
What's the best way to memorize the powers of two?
Active recall plus spaced repetition. Test yourself instead of re-reading, and review on a schedule that spaces the cards out over time. Flashcards are built for exactly this — which is why the deck above is the fastest path.
Is this deck free?
Yes. You can practise all 17 cards on this page for free with no account. Sign up (also free) to save the deck and let spaced repetition schedule your reviews so it sticks long-term.