Binary Numbers Again

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Table of Contents

Binary Numbers Again

Binary Arithmetic, Subtraction

Binary, Decimal addition

Subtraction

Hex Addition

Hex addition again

Hex Subtraction

Hex subtraction again

Fixed Precision

Unsigned Overflow

Unsigned Overflow Example

Unsigned Overflow

Signed Integer Representation

Signed Magnitude Representation

Signed Magnitude Examples (8 bits)

Signed Magnitude comments

Ones Complement Representation

Ones Complement Examples

Ones Complement Comments

Twos Complement Representation

Twos Complement Examples

Twos Complement Comments

A common Question from Students

Example Conversions

Hex to Signed Decimal Conversion Rules

Hex to Signed Decimal (cont)

Hex to Signed Decimal (cont)

Hex to Signed Decimal (cont)

Signed Decimal to Hex conversion

Signed Decimal to Hex conversion (cont)

Signed Decimal to Hex conversion (cont)

Signed Decimal to Hex conversion (cont)

Two’s Complement Overflow

Detecting Two’s Complement Overflow

Some Examples

Adding Precision (unsigned)

Adding Precision (two’s complement)

What do you need to know?

Author: Bob Reese

Email: reese@erc.msstate.edu

Home Page: http://www.erc.msstate.edu/~reese

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