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Middle school🔢Arithmetic●○○○○· 3 min
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Powers of 2 to memorize (up to 1024)

1, 2, 4, 8, 16, 32, 64, 128, 256, 512, 1024… A short list that unlocks tons of mental math — and all of computing.

The list

PowerValue
202^01
212^12
222^24
232^38
242^416
252^532
262^664
272^7128
282^8256
292^9512
2102^{10}1024

The mnemonic shortcut

Each value is double the previous one. Learn the rhythm, not the list.

Why it’s useful

  • Computing: memory, file sizes (1 KB ≈ 1024 bytes).
  • Probability: 2n2^n = number of ways to choose “yes/no” nn times.
  • Fast mental estimates: 210=102410002^{10} = 1024 \approx 1000 → quick estimation.

The bonus trick

2101032^{10} \approx 10^3 so 2201062^{20} \approx 10^6 (a million), 2301092^{30} \approx 10^9 (a billion). Handy for estimating without a calculator.

?Your turn

What is 2⁷?

#powers#2#memory#binary

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