They're everywhere in computing (bytes, addresses, limits), and pegging each value to a picture makes the ladder instant recall instead of mental multiplication.

Every doubling — 1, 2, 4, 8, 16, 32, 64, 128… — marks a real boundary: a byte holds 256 values, a port number tops out at 65536, IPv4 has 2³² addresses. Instead of recomputing, you memorize each rung. For values ≥ 100, encode them the same way you'd learn any longer number: chunk into 2-digit pegs and link the images (see the Longer Numbers mission). The exponent is small enough to just count, so the payoff is knowing the value on sight.

Tip: Past 2¹⁰, each ×1024 step roughly means "add three zeros" (kilo → mega → giga), which anchors the big ones.

1, 2, 4, 8, 16, 32, 64 — each is double the one before.

These seven fit inside the single/double-digit peg list, so each already has a picture:

Tip: "16-32-64" → DJ, moon, jar is a tidy three-image run worth over-learning; it's the gateway to the bigger ones.