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

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.

19 sections

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Sections

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  1. 2.1
    Signed Arithmetic And Overflow

    The section discusses signed arithmetic operations and how overflow occurs...

  2. 2.1.1
    Introduction To Overflow In Digital Design

    This section explains the concept of overflow in digital arithmetic, along...

  3. 2.1.2
    Example Of Unsigned Numbers

    This section explores the concept of unsigned numbers, focusing on...

  4. 2.1.3
    Flags In Digital Arithmetic

    This section explores the concept of flags in digital arithmetic, focusing...

  5. 2.1.4
    Equality Flag

    This section discusses the equality flag in digital arithmetic, its...

  6. 2.1.5
    Interrupt Enable Flag

    The Interrupt Enable Flag is a critical component in controlling how a...

  7. 2.1.6
    Supervisor Mode And Privileges

    This section explores supervisor mode, associated privileges, and associated...

  8. 2.1.7
    Commonly Used Flags

    This section discusses various flags used in digital design, particularly in...

  9. 2.2
    Control Instructions Based On Flags

    This section explores how control instructions in digital design use flags...

  10. 2.2.1
    Unconditional Instructions

    This section discusses unconditional instructions in digital logic and their...

  11. 2.2.2
    Move Instruction Example

    This section explains signed arithmetic in digital design, focusing on...

  12. 2.2.3
    Label Instructions

    This section discusses signed arithmetic, overflow conditions, control...

  13. 2.2.4
    Infinite Loops In Control Instructions

    This section discusses the significance of infinite loops in control...

  14. 2.2.5
    Conditional Instructions

    The section discusses the concept of conditional instructions in digital...

  15. 2.2.6
    Jump Instructions Based On Flags

    This section discusses the implementation of jump instructions in...

  16. 2.3
    Examples Of Flag Usage In Control Instructions

    This section discusses the significance of different flags in control...

  17. 2.3.1
    Setting And Resetting Flags

    This section explains how arithmetic operations in digital design can...

  18. 2.3.2
    Example With Positive And Negative Numbers

    This section discusses the representation and addition of positive and...

  19. 2.3.3
    Influence Of Signed And Unsigned Arithmetic On Flags

    This section discusses the effects of signed and unsigned arithmetic on the...

What we have learnt

  • Signed arithmetic can yield unexpected results when overflow occurs based on the number of bits allocated.
  • Various flags, including zero, carry, and overflow flags, play critical roles in control flow and indicate the results of arithmetic operations.
  • Control instructions allow branching based on flag states, influencing program execution.

Key Concepts

-- Overflow Flag
This flag indicates when an arithmetic operation produces a result that exceeds the range that can be represented with the available bits.
-- Carry Flag
This flag indicates whether a carry has been generated out of the most significant bit during arithmetic operations.
-- Zero Flag
This flag indicates whether the result of an operation is zero.
-- Control Instructions
Instructions that change the flow of execution based on the status of various flags, enabling conditional and unconditional jumps in the program.

Additional Learning Materials

Supplementary resources to enhance your learning experience.