Digital Electronics and Design with VHDL

3 Binary Arithmetic

Chapter Contents

3.1 Unsigned Addition

3.2 Signed Addition and Subtraction

3.3 Shift Operations

3.4 Unsigned Multiplication

3.5 Signed Multiplication

3.6 Unsigned Division

3.7 Signed Division

3.8 Floating-Point Addition and Subtraction

3.9 Floating-Point Multiplication

3.10 Floating-Point Division

3.11 Exercises

Objective:

Humans are used to doing arithmetic operations with decimal numbers, while computers perform similar arithmetic operations but use the binary system of ‘0’s and ‘1’s. The objective of this chapter is to show how the latter occurs. The analysis includes unsigned and signed values, of both integer and real-valued types. Because shift operations can also implement certain arithmetic functions, they too ...