The document discusses different number systems including decimal, binary, octal, and hexadecimal. It provides details on what each system consists of such as the base and possible digits used. It also describes processes for converting between number systems, specifically how to convert a decimal number to its binary equivalent using the double dabble method which involves repeatedly dividing the decimal number by 2 and writing down the remainders.

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2. Number System
Decimal
Binary
Octal
Hexadecimal

3. • It consist of ten digits.
• 0, 1, 2, 3, 4, 5, 6, 7, 8 , 9
• With the base 10.
• Each number can be used individually or they
can be grouped.
Number System
Decimal

4. • It consist of two digits.
• 0 and 1.
• With the base 2.
• All digital computer use this number system.
• Convert the data input from the decimal
format into it’s binary equivalent.
Number System
Binary

5. • It consist of eight digits.
• 0, 1, 2, 3, 4, 5, 6, 7.
• With the base 8.
Number System
Octal

6. • 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

7. • Double Dabble Method.
Number System Conversion
Decimal to Binary

8. 1. We will divide given decimal with the base 2.
2. Write down the remainder and divide the
quotient by 2..
3. Repeat step 2 until the quotient is lesser than
the dividend.
Number System Conversion
Double Dabble Rules

9. Number System Conversion
17102
2
2
2
810
410
210
1
0
0
0
1 Read the remainders
from bottom to top.
The result is:
1710 = 100012

10. 1. Bring down the first digit then multiply it by 2.
2. Bring down the next digit then add, then
multiply it again by 2.
3. Repeat step number 2 until to the last 2nd digit.
4. Bring down the last digit then add it.
Number System Conversion
Checking

11. Number System Conversion
100012
1
X 2
2
+ 0
2
X 2
4
+ 0
4
X 2
8
8
+ 0
8
X 2
16
+ 1
1710

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