## Monday, February 27, 2012

### PowerPoint Presentation On Number Systems

PPT On Number Systems

Presentation Transcript:
1. Number Systems

2. Common Number Systems

3. Binary to Decimal
Technique
Multiply each bit by 2n, where n is the “weight” of the bit
The weight is the position of the bit, starting from 0 on the right

4. Octal to Decimal
Technique
Multiply each bit by 8n, where n is the “weight” of the bit
The weight is the position of the bit, starting from 0 on the right

Technique
Multiply each bit by 16n, where n is the “weight” of the bit
The weight is the position of the bit, starting from 0 on the right

6. Decimal to Binary
Technique
Divide by two, keep track of the remainder
First remainder is bit 0 (LSB, least-significant bit)
Second remainder is bit 1
Etc.

7. Octal to Binary
Technique
Convert each octal digit to a 3-bit equivalent binary representation

Technique
Convert each hexadecimal digit to a 4-bit equivalent binary representation

9. Decimal to Octal
Technique
Divide by 8
Keep track of the remainder

Technique
Divide by 16
Keep track of the remainder

11. Binary to Octal
Technique
Group bits in threes, starting on right
Convert to octal digits

Technique
Group bits in fours, starting on right