Revision Exercise

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Revision Exercise - PowerPoint PPT Presentation

Revision Exercise. Hexadecimal Number System. Hexadecimal System. 16 different values possible: 0 1 2 3 4 5 6 7 8 9 A B C D E F (0 – 9) (10 11 12 13 14 15) A to F represent numbers 10 to 15 Base 16 E.g. C4 16. Binary to Hexadecimal Conversion.

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• 16 different values possible:
• 0 1 2 3 4 5 6 7 8 9 A B C D E F

(0 – 9) (10 11 12 13 14 15)

• A to F represent numbers 10 to 15
• Base 16
• E.g. C416

A:

8

4

2

1

8

4

2

1

0

1

1

0

1

1

1

0

4 + 2

8 + 4 + 2

6

14 = E

6E16

Q: Convert C416 to binary.

A:

8

4

2

1

8

4

2

1

1

1

0

0

0

1

0

0

2

8 + 4

4

C = 12

C416

• Q: Convert 4110 to hex

A:

16

41

16

2

Remainder 9

0

Remainder 2

Ans: 4110 = 2916

• Q: Convert 10910 to hex

A:

16

109

16

6

Remainder 13

0

Remainder 6

Ans: 10910 = 6 1316

= 6 D16

• Q: Convert 3C16 to decimal

A:

161

160

• Step 1: Place Values

3

C

• Step 2: Multiply by place value

(3 x 16) + (C x 1)

• Step 3: Hex value for letters

(3 x 16) + (12 x 1)

48 + 12

6010

• Q: Convert 1F16 to decimal

A:

161

160

• Step 1: Place Values

1

F

• Step 2: Multiply by place value

(1 x 16) + (C x 1)

• Step 3: Hex value for letters

(1 x 16) + (15 x 1)

16 + 15

3110

A:

• convert 13910 to binary
• 13910 100010112
• convert from 100010112 to hexadecimal.
• 100010112

8B16