1. Data Storage Introduction to computer, 2nd semester, 2010/2011
Mr.Nael Aburas
Faculty of Information Technology
Islamic University of Gaza

2. Hexadecimal (Hex)
Hex is a numbering system that uses Base 16. The numbers are represented normally, but the numbers 1010 through 1510 are represented by the letters A through F
1 hex digit is equivalent to 4 bits
Numbers are 0,1,2…..8,9, A, B, C, D, E, F.
The following shows that the number (2AE)16 in hexadecimal is equivalent to 686 in decimal.
The equivalent decimal number is N = = 686.

3. Hexadecimal (Hex)
Using hexadecimal, a very large binary string of 1s and 0s can be represented with just a few hexadecimal numbers by breaking the binary number into groups of four and then using the hexadecimal equivalent; for example, can be written as

4. Hexadecimal to decimal
The following shows how to convert the hexadecimal number (1A)16 to decimal
= 1 × A × 160
= ×1
=16+10 = 26
convert (F4C)16 to decimal
= (F x 162) + (4 x 161) + (C x 160)
= (15 x 256) + (4 x 16) + (12 x 1)

5. Decimal to hexadecimal
convert (4768)10 to hex.
= 4768 / 16 = 298 remainder 0
= 298 / 16 = 18 remainder 10 (A)
= 18 / 16 = 1 remainder 2
= 1 / 16 = 0 remainder 1
Answer: 1 2 A 0

6. Hexadecimal to binary (306 ) = (00110000 0110) (24C)16
Each hexadecimal digit is converted to 4-bit patterns
2 → 0010, 4 → 0100, and C → 1100
(306 ) = ( )

7. Binary to hexadecimal Convert (0010110001101011)2 to hexadecimal?
We first arrange the binary number in 4-bit patterns:
E 2
Convert ( )2 to hexadecimal?
C B

8. Octal
The Octal numbering system is similar to the Hexadecimal numbering system.
This big difference is that the maximum value for Octal is 7 since it is Base 8
1 octal digit is equivalent to 3 bits.

9. Octal
(1256)8

10. Octal to Decimal convert (632)8 to decimal
= (6 x 82) + (3 x 81) + (2 x 80)
= (6 x 64) + (3 x 8) + (2 x 1) =
= (410)10

11. Decimal to Octal convert (177)10 to octal 177 / 8 = 22 remainder is 1
Answer = 2 6 1

12. Binary to octal
= 3478 =

13. Octal to binary
convert (632)8 to binary
( )2