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Hexadecimal

A number system, base 16 

1, 2, 3, 4, 5, 6 7, 8, 9, A , B, C , D , E , F 

 

A=10 

B=11 Etc 

Hexadecimal is used instead of binary because; 

  • It is easier to read and interpret 

  • It uses fewer digits to represent the name value 

  • Compared to binary, it is less likely that a digit will be written down incorrectly

How does the hexadecimal number system work?

Hexadecimal is a base 16 number system, 0-9 and letters A to F.   It is used for colours as compared to binary, it displays the same value in a shorter way. It increments in 16.  

Converting Denary to Hexadecimal

First, you need to know the 16 x table

How Many 16s go into it

The number

1

16

2

32

3

 48

4

64

5

80

6

96

7

112

8

128

9

144

10

160

11

176

12

192

13

208

Look at the denary number, and see how many 16s go into it. That is the first digit of the number, then the remainder is the second part, and so on.

For example,

124

124/16 = 7 r 12

7 is the first digit

12 = C

this means 128 = 7C

Hexadecimal

A number system, base 16 

1, 2, 3, 4, 5, 6 7, 8, 9, A , B, C , D , E , F 

 

A=10 

B=11 Etc 

Hexadecimal is used instead of binary because; 

  • It is easier to read and interpret 

  • It uses fewer digits to represent the name value 

  • Compared to binary, it is less likely that a digit will be written down incorrectly

How does the hexadecimal number system work?

Hexadecimal is a base 16 number system, 0-9 and letters A to F.   It is used for colours as compared to binary, it displays the same value in a shorter way. It increments in 16.  

Converting Denary to Hexadecimal

First, you need to know the 16 x table

How Many 16s go into it

The number

1

16

2

32

3

 48

4

64

5

80

6

96

7

112

8

128

9

144

10

160

11

176

12

192

13

208

Look at the denary number, and see how many 16s go into it. That is the first digit of the number, then the remainder is the second part, and so on.

For example,

124

124/16 = 7 r 12

7 is the first digit

12 = C

this means 128 = 7C

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