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Preview

DI 2.1: Binary, hex, decimal and octal

This is the first page of the lesson. Read it and have a go at the activities. The rest is in the full lesson.

60 minutes

Why an address looks like 192.168.1.20

People write an address as four numbers with dots, like 192.168.1.20. But a computer does not see it that way.

To a computer it is 32 ones and zeros. Each of the four numbers is really eight ones and zeros.

To plan addresses, you must move between these number systems.

Key words

WordWhat it means
Networkcomputers and devices joined together so they can share data
IP addressthe number that names a device on a network
Number systema way of writing numbers using a fixed set of digits
Decimalthe system we use every day, with ten digits, 0 to 9
Binarya system with two digits, 0 and 1
Octala system with eight digits, 0 to 7
Hexadecimala system with sixteen digits, 0 to 9 and then A to F
Bitone binary digit, a 0 or a 1
Byteeight bits together
Place valuewhat a digit is worth because of where it sits in the number
Basehow many digits a number system has
Subnettingsplitting one network into smaller networks

The cells students fill in are left blank in this preview.

By the end of this lesson

Note

I can say where binary, hex, decimal and octal are used in a network, and change small whole numbers between them using a table.

Starter

Have a go

Starter

3 questions
Have a go: your answers are marked here and then forgotten. Sign in if you would like your score kept, and to pick up where you left off.Sign in to keep your score

Your answers are marked here and are not kept. A college account keeps every student’s marks.

Four systems, four bases

The base is how many digits the system has.

Decimal is base 10. Binary is base 2. Octal is base 8. Hexadecimal, or hex, is base 16.

Hex needs sixteen digits, but we only have ten figures. So it uses the letters A to F for ten to fifteen.

The same numbers: 0 to 7

DecimalBinaryOctalHex
0000000
1000111
2001022
3001133
4010044
5010155
6011066
7011177

The cells students fill in are left blank in this preview.

The same numbers: 8 to 15

DecimalBinaryOctalHex
81000108
91001119
10101012A
11101113B
12110014C
13110115D
14111016E
15111117F

The cells students fill in are left blank in this preview.

Check

Have a go

Check

4 questions
Have a go: your answers are marked here and then forgotten. Sign in if you would like your score kept, and to pick up where you left off.Sign in to keep your score

Your answers are marked here and are not kept. A college account keeps every student’s marks.

The lesson goes on

9 more parts of this lesson are in the full curriculum, with the tasks, the final check and the labs. A college account gives your students all of it.