This lesson includes: * Hexadecimal to Binary Conversion * Hexadecimal to Decimal Conversion * Decimal to Hexadecimal Conversion

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2. • It consist of 16 possible digit symbols.
• 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F.
• With the base 16.
Number System
Hexadecimal

3. • Same method of Binary to Decimal
Conversion.
Number System Conversion
Octal to Decimal

4. Number System Conversion
8 4 2 1
0 0 0 0 0
1 0 0 0 1
2 0 0 1 0
3 0 0 1 1
4 0 1 0 0
5 0 1 0 1
6 0 1 1 0
7 0 1 1 1
8 1 0 0 0
9 1 0 0 1

5. Number System Conversion
8 4 2 1
A (10) 1 0 1 0
B (11) 1 0 1 1
C (12) 1 1 0 0
D (13) 1 1 0 1
E (14) 1 1 1 0
F (15) 1 1 1 1

6. Number System Conversion
32AD16 = (3x163) + (2x162) + (10x161) + (13x160)
= (3x4096) + (2x256) + (10x16) + (13x1)
= 12288 + 512 + 160 + 13
= 1297310
Hexadecimal to Decimal

7. 1. Use Double Dabble Method but use 16 as
your divisor.
2. If the value of the remainder is 10 to 15,
instead using the number use the alphabet
letter. For Example 10  A.
Number System Conversion
Decimal to Hexadecimal

8. Number System Conversion
16
16 6310
3
F
6101410
Read the remainders
from bottom to top.
The result is:
101410 = 3F616

9. Number System Conversion
Hexadecimal to Binary
1. In converting Hexadecimal to Binary, we will
use a chart for conversion.

10. Number System Conversion
How to use the chart?
• 1101111002 is the given binary code.
• Group the given binary code in to 4 (Four).
• Always start from Right to Left.
1|1011|11002 0001|1011|11002

11. Number System Conversion
How to use the chart?
• After you group the given binary code into 4.
• Check the value of each group in the chart
0001|1011|11002
1 B C

12. Number System Conversion
How to use the chart?
1101111002 = 1BC16

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