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NotesDigital SocietyTopic 1.1Binary digits
Back to Digital Society Topics
1.1.44 min read

Binary digits

IB Digital Society • Unit 1

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Contents

  • Everything is a number
  • Why two states and not ten
  • Bits in the real world
  • Exam-style: precision with the basics

A digital system stores text, photographs, music and money the same way: as binary digits, each one a 0 or a 1. Nothing in the machine knows which is which — the meaning comes from the software that reads it.

Bit
A single binary digit: 0 or 1. The smallest unit of data there is.
Byte
Eight bits, so 256 possible combinations — historically enough for one character of text.
Binary
A base-2 number system. Each place is worth twice the one to its right: 1, 2, 4, 8, 16…

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Using two states is not a style choice. It is about what a circuit can do reliably.

A circuit can always tell “on” from “off”, even when the voltage wobbles a little. Asking it to tell ten different voltage levels apart would make every part harder to build and every mistake more likely.

What follows from using bits

  • Exact copies. A copy of a copy is identical, which is why piracy and backup are both easy.
  • Compression. If data is numbers, patterns in it can be described more briefly than they can be listed.
  • Encryption. Numbers can be transformed by a key and transformed back.
  • Mixing. Text, sound and images share one storage and one network because they share one representation.

One byte, read four ways. The bits never change between the steps — only the software reading them does.

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A useful sense of scale: One byte holds a character. A thousand-word essay is a few kilobytes. A photograph is a few megabytes. An hour of video is a few gigabytes. Each step is about a thousand times the last.

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Binary representation sounds like a computer-science detail until you notice it is the reason two of this course's biggest arguments exist at all.

Because data is bits……this becomes possible
Copies are exact and freePerfect duplication of anything, including things people wanted kept
Numbers can be transformedEncryption — and the Apple v the FBI over the San Bernardino iPhone (USA, February–March 2016) argument about who may undo it
Patterns can be found in numbersMachine learning on data collected for another purpose
Storage is cheap per bitCollect now, decide why later — the habit behind most data dilemmas

Real-world examples you can name

Apple v the FBI over the San Bernardino iPhone — February–March 2016

The FBI asked a court to compel Apple to write software that would disable the passcode limits on a locked iPhone. Apple refused, arguing that such a tool could not be confined to one device. The case ended when the FBI paid a third party to unlock the phone, leaving the legal question unresolved.

Who it affected: Every user of encrypted devices, and investigators who cannot read them.

How this is tested — the basics are tested as precise definitions, and then as the reason something else is possible. It comes up two ways:

Paper 1 — structured question

  • Part a: define or state what a bit or a byte is
  • Part b: explain why digital copies are identical

Paper 2 — source-based question

  • Q1: read a figure in bits, bytes or megabytes off a source
  • Q2: explain a technical term a source uses
The trap: a vague definition: “A bit is a small amount of data” earns nothing. “A bit is a single binary digit, 0 or 1” earns the mark. Definitions are the cheapest marks in the paper and the easiest to fumble.
IB-style questionDefine[1 mark]

Define the term byte.

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IB-style questionExplain[2 marks]

Explain one reason why representing data in binary makes encryption possible.

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**two** kinds of data that a computer represents using binary digits. [2 marks]

Related Digital Society Topics

Continue learning with these related topics from the same unit:

1.1.1Names for digital society
1.1.2Uneven access
1.1.3Milestones
1.1.5Digital and analogue
View all Digital Society topics

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