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Why is computer memory always a power of two?

Mark Sterling
Mark Sterling
Research Editor · Jan 22, 2026 · Updated Apr 13, 2026

The way that computers work is based on what's called "binary." It's based on how things like transistors and other electronics are able to work. But, for simplicity's sake, imagine each bit like a switch connected to a lightbulb. If the switch is "on" the lightbulb is on, if the switch is "off" …

122
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1 min
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#58
of 500 in Psychology

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The Short Answer

The way that computers work is based on what's called "binary." It's based on how things like transistors and other electronics are able to work. But, for simplicity's sake, imagine each bit like a switch connected to a lightbulb. If the switch is "on" the lightbulb is on, if the switch is "off" the lightbulb is off. It can either be "1" (on) or "0" (off). If you have one switch, you have two states it can be in. With two switches, you have four states. With three switches, you have eight, then sixteen, 32, etc. Every additional "switch" can only possibly add combinations in a power of two. And the way computers read data is (essentially) reading which switches in which order are on.

Analysis

Key Concepts: Switch, lightbulb, switches

This explanation focuses on switch, lightbulb, switches and spans 122 words across 9 sentences. At 79% above the average Psychology explanation (68 words), this is one of the more thorough answers in this category, reflecting the complexity of the underlying question.

What This Answer Covers

The explanation opens with: “The way that computers work is based on what's called "binary." It's based on how things like transistors and other elec” It then elaboratesultimately building toward a complete picture across 9 connected points.

How This Compares in Psychology

Ranked #58 of 500 Psychology questions by answer depth (top 12%). This places it in the comprehensive tier — the top quarter of most thoroughly answered questions. Questions at this depth typically involve multi-faceted topics requiring nuanced explanation.

Frequently Asked Questions

Is there a simple explanation for why computer memory always a power of two?

The way that computers work is based on what's called "binary." It's based on how things like transistors and other electronics are able to work. But, for simplicity's sake, imagine each bit like a switch connected to a lightbulb. If the switch is…

How detailed is this explanation compared to similar Psychology questions?

This is one of the most thorough answer at 122 words, ranked #58 of 500 Psychology questions by depth. The key concepts covered are switch, lightbulb, switches.

What approach does this answer take to explain computer memory always a power of two?

The explanation uses direct explanation across 122 words. It is categorized under Psychology and addresses the question through 1 analytical lens.