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By: Joemarie O. Rendon
Convert
Hexadecimal
to
decimal
THE HEXADECIMAL SYSTEM
(BASE 16)
• The word hexadecimal is derived from the Greek
root hex (six) and Latin root decem (ten).
• Base b = 16.
• Ten symbols: S = {0, 1,2,3,4,5,6,7, 8, 9, A, B, C, D,
E, F}
• Example: 2AF , 3DF4 , 5FAE3 , 8CF09
• The symbols in this system are often referred to
• as hexadecimal digits.
THE RELATIONSHIP BETWEEN
DECIMAL TO HEXADECIMAL
0
1
2
3
4
5
6
7
9
0
1
2
3
4
5
6
7
9
DECIMAL TO HEXADECIMAL
10
11
12
13
14
15
=
=
=
=
=
=
A
B
C
D
E
F
=
=
=
=
=
=
=
=
=
CONVERT
HEXADECIMAL
TO
DECIMAL
2 3 E
HEXADECIMAL DECIMAL
=16
16
0
16
1
16
2
2 X 16
2
+ 3 X 16
1
+ 14 X 16
0
10
11
12
13
14
15
=
=
=
=
=
=
A
B
C
D
E
F
DH
2 X 256 + 3 X 16 + 14
512 + 48 + 14 574=
574 10
TO
HEXADECIMAL DECIMALTO
10
11
12
13
14
15
=
=
=
=
=
=
A
B
C
D
E
F
DH
A B 0 9
16
=
16
0
16
1
16
2
16
3
10 X 16
3
+ 11 X 16
2
+ 0 X 16
1
+ 9 X 16
0
10 X 4096 + 11 X 256 + 0 + 9
40960 + 2816 + 0 + 9 43785=
4378510
X 16

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Convert Hexadecimal to decimal

  • 1. By: Joemarie O. Rendon Convert Hexadecimal to decimal
  • 2. THE HEXADECIMAL SYSTEM (BASE 16) • The word hexadecimal is derived from the Greek root hex (six) and Latin root decem (ten). • Base b = 16. • Ten symbols: S = {0, 1,2,3,4,5,6,7, 8, 9, A, B, C, D, E, F} • Example: 2AF , 3DF4 , 5FAE3 , 8CF09 • The symbols in this system are often referred to • as hexadecimal digits.
  • 3. THE RELATIONSHIP BETWEEN DECIMAL TO HEXADECIMAL 0 1 2 3 4 5 6 7 9 0 1 2 3 4 5 6 7 9 DECIMAL TO HEXADECIMAL 10 11 12 13 14 15 = = = = = = A B C D E F = = = = = = = = =
  • 5. 2 3 E HEXADECIMAL DECIMAL =16 16 0 16 1 16 2 2 X 16 2 + 3 X 16 1 + 14 X 16 0 10 11 12 13 14 15 = = = = = = A B C D E F DH 2 X 256 + 3 X 16 + 14 512 + 48 + 14 574= 574 10 TO
  • 6. HEXADECIMAL DECIMALTO 10 11 12 13 14 15 = = = = = = A B C D E F DH A B 0 9 16 = 16 0 16 1 16 2 16 3 10 X 16 3 + 11 X 16 2 + 0 X 16 1 + 9 X 16 0 10 X 4096 + 11 X 256 + 0 + 9 40960 + 2816 + 0 + 9 43785= 4378510 X 16