Arithmetic for Computers

1
Arithmetic for Computers
2
Introduction

• Number Systems
• Representation in Hardware
• ASCII vs Binary Numbers

3
Unsigned and Signed Binary Numbers

• Positive/Negative Representations 
• Binary to Decimal Conversion 
• Signed versus Unsigned Comparison 
• Negation Shortcut 
• Sign Extension Shortcut 
• Binary to Hexadecimal Shortcut 

4
Addition and Subtraction
5
Multiplication and Division
6
Arithmetic Logic Unit

• Truth Tables
• Boolean Algebra
• Gates
• Decoders
• Multiplexors
• A 1-Bit ALU 

7
Conclusion