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Title: Intro to binary and Hexadecimal
Description: Introduction to binary and hexadecimal, create or read any binary or hexadecimal number with this.

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Electrical and electronic engineering

Robert Attfield Kirsopp

Electrical and Electronic Engineering
Digital
Introduction to Binary and Hexadecimal

Our number system 0,1,2,3,4,5,6,7,8,9 etc
...
g
...
E
...
g FIVE = 101 = 1 ∗ 22 + 0 ∗ 21 + 1 ∗ 20
Number
0
1
2
3
4
5

Binary number
0
1
10
11
100
101

The table below shows the values on top of a 10 bit binary number if the space has a
one
502
256
128
64
32
16
8
4
2
1
E
...


1

Electrical and electronic engineering

Robert Attfield Kirsopp

Hexadecimal
Hexadecimal is much that same as any other number system apart from it is a base
16 system, each space can now hold 16 different values, typically displayed as
0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F
...

We can use the same expression as before to show how to count a hexadecimal
number
...

We just have to remember what A,B,C,D,E and F represent which is 10, 11, 12, 13, 14,
and 15
eg

18DA = 1 ∗ 163 + 8 ∗ 162 + 13 ∗ 161 + 10 ∗ 160
= 4096 + 2048 + 208 + 10
= 6262

2


Title: Intro to binary and Hexadecimal
Description: Introduction to binary and hexadecimal, create or read any binary or hexadecimal number with this.