Computer Organisation and Architecture - Vol 2 | 2. Signed Arithmetic and Overflow by Abraham | Learn Smarter
K12 Students

Academics

AI-Powered learning for Grades 8–12, aligned with major Indian and international curricula.

Professionals

Professional Courses

Industry-relevant training in Business, Technology, and Design to help professionals and graduates upskill for real-world careers.

Games

Interactive Games

Fun, engaging games to boost memory, math fluency, typing speed, and English skills—perfect for learners of all ages.

Typing
Memory
Math
English Adventures
Knowledge
2. Signed Arithmetic and Overflow

The chapter delves into signed arithmetic and control instructions, particularly focusing on flag behavior in digital design. Key concepts such as overflow, carry, and zero flags are discussed in relation to various arithmetic operations. The chapter outlines important control instructions and provides examples demonstrating the implications of different flag settings in both signed and unsigned arithmetic contexts.

Enroll to start learning

You’ve not yet enrolled in this course. Please enroll for free to listen to audio lessons, classroom podcasts and take practice test.

Sections

  • 2.1

    Signed Arithmetic And Overflow

    The section discusses signed arithmetic operations and how overflow occurs in digital systems, alongside the implications of various flags used in arithmetic computations.

    Learning Practice

  • 2.1.1

    Introduction To Overflow In Digital Design

    This section explains the concept of overflow in digital arithmetic, along with the associated flags that indicate different states during arithmetic operations.

    Learning Practice

  • 2.1.2

    Example Of Unsigned Numbers

    This section explores the concept of unsigned numbers, focusing on arithmetic operations, overflow, and the functioning of various flags in digital design.

    Learning Practice

  • 2.1.3

    Flags In Digital Arithmetic

    This section explores the concept of flags in digital arithmetic, focusing on how arithmetic operations can affect flag settings and the implications of overflow.

    Learning Practice

  • 2.1.4

    Equality Flag

    This section discusses the equality flag in digital arithmetic, its implications in signed arithmetic, and the significance of various flags generated during operations.

    Learning Practice

  • 2.1.5

    Interrupt Enable Flag

    The Interrupt Enable Flag is a critical component in controlling how a system handles incoming interrupts while managing program execution.

    Learning Practice

  • 2.1.6

    Supervisor Mode And Privileges

    This section explores supervisor mode, associated privileges, and associated flags in digital arithmetic, notably in relation to control instructions and interrupt handling.

    Learning Practice

  • 2.1.7

    Commonly Used Flags

    This section discusses various flags used in digital design, particularly in context to arithmetic operations and control instructions.

    Learning Practice

  • 2.2

    Control Instructions Based On Flags

    This section explores how control instructions in digital design use flags to manage program flow based on arithmetic operations.

    Learning Practice

  • 2.2.1

    Unconditional Instructions

    This section discusses unconditional instructions in digital logic and their implications in control flow during execution.

    Learning Practice

  • 2.2.2

    Move Instruction Example

    This section explains signed arithmetic in digital design, focusing on overflow scenarios and control instructions such as unconditional jumps and comparison-based jumps.

    Learning Practice

  • 2.2.3

    Label Instructions

    This section discusses signed arithmetic, overflow conditions, control flags, and the implications of these elements in digital arithmetic operations.

    Learning Practice

  • 2.2.4

    Infinite Loops In Control Instructions

    This section discusses the significance of infinite loops in control instructions and the different types of flags used in digital arithmetic, including instructions related to overflow and jumps.

    Learning Practice

  • 2.2.5

    Conditional Instructions

    The section discusses the concept of conditional instructions in digital design, specifically focusing on flags that indicate the status of arithmetic operations and how these flags control program flow through conditional jumps.

    Learning Practice

  • 2.2.6

    Jump Instructions Based On Flags

    This section discusses the implementation of jump instructions in programming based on various flags, focusing on concepts like overflow, equality, and control structures in digital arithmetic.

    Learning Practice

  • 2.3

    Examples Of Flag Usage In Control Instructions

    This section discusses the significance of different flags in control instructions, focusing on how flags like the overflow, zero, and sign flags affect arithmetic operations in digital design.

    Learning Practice

  • 2.3.1

    Setting And Resetting Flags

    This section explains how arithmetic operations in digital design can generate flags that indicate conditions like overflow, equality, and carry.

    Learning Practice

  • 2.3.2

    Example With Positive And Negative Numbers

    This section discusses the representation and addition of positive and negative numbers in digital design, specifically focusing on signed arithmetic, overflow conditions, and various flags.

    Learning Practice

  • 2.3.3

    Influence Of Signed And Unsigned Arithmetic On Flags

    This section discusses the effects of signed and unsigned arithmetic on the flags in digital systems, highlighting conditions of overflow and examples of flag settings.

    Learning Practice

References

ch13 part b.pdf

Class Notes

Memorization

What we have learnt

  • Signed arithmetic can yield...
  • Various flags, including ze...
  • Control instructions allow ...

Final Test

Revision Tests