Arithmetic Logic Unit (ALU) Design
The chapter provides an in-depth exploration of the design and function of the Arithmetic Logic Unit (ALU), which is crucial for the computations in a CPU. It details key operations of the ALU including basic arithmetic and logical operations, intricacies of integer multiplication and division, and floating-point number representation. Additionally, the chapter analyzes the IEEE 754 standard, emphasizing its impact on numerical accuracy and the design of arithmetic circuits.
Sections
Navigate through the learning materials and practice exercises.
What we have learnt
- The ALU is a combinational circuit performing arithmetic and logical operations essential for CPU functionality.
- Understanding the hardware implementation of addition, subtraction, multiplication, and division is critical for efficient ALU design.
- Floating-point representation allows computers to handle very large, very small, and fractional numbers, adhering to the IEEE 754 standard for consistent results.
Key Concepts
- -- Arithmetic Logic Unit (ALU)
- The core computational engine of a CPU that performs arithmetic and logical operations.
- -- IEEE 754
- A standard for floating-point computation that ensures consistent representation and behavior across different computing systems.
- -- Bias in Exponent
- A method of storing exponent values in floating-point representation that offsets the true exponent to allow for a range of positive values.
- -- Normalization
- A process in floating-point arithmetic that ensures a unique binary representation for numbers by shifting the mantissa.
Additional Learning Materials
Supplementary resources to enhance your learning experience.