Bfloat16 floating-point format

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Related lectures (27)

Number Systems: Fixed and Floating-Point Representations

Discusses fixed-point and floating-point representations in digital systems, covering key concepts like precision, accuracy, and the IEEE 754 standard.

Number Systems: Fixed and Floating-Point Representations

Provides an overview of fixed-point and floating-point number representations in digital systems.

Floating Point Numbers: Representation and Errors

Introduces floating point number representation, round-off errors, and their impact on numerical computations.

Computer Arithmetic: Floating Point Numbers

Explores computer arithmetic, emphasizing fixed-point and floating-point numbers, IEEE 754 standard, dynamic range, and floating-point operations in MIPS architecture.

Computer Arithmetic: Floating Point Operations

Covers the basics of computer arithmetic, focusing on floating point numbers and their operations.

Information Representation: Binary Representations

Explores binary information representation, efficiency, byte usage, and integer representation.

Digital Systems: Fixed and Floating Point Arithmetic

Discusses fixed-point and floating-point arithmetic in digital systems, covering operations, representations, and the implications of rounding errors.

Floating point numbers

Covers the concept of floating point numbers and their representation in computer systems.

Floating Point Numbers: Representation and Errors

Covers the representation of floating point numbers and the importance of uniform relative error.

Digital Systems: Fixed and Floating-Point Arithmetic

Provides an overview of fixed and floating-point arithmetic in digital systems, focusing on their representations and practical applications.

Logic Systems: Arithmetic Operations

Covers classic pen-and-paper methods for arithmetic operations and binary representations of numbers.

Number Representation and Bitwise Operators

Explores number representation in computers and bitwise operators for practical programming applications.

Innovation & Precaution: Resilience

Covers innovation, precaution, and resilience in environmental protection, discussing strategies for building resilience against water-related risks.

Integer Representation: Positive Integers

Covers the representation of positive integers, binary notation, machine limitations, overflow, and floating-point representation.

Floating Point Representation: Consequences for Programming

Explores the consequences of floating-point representation errors in programming, emphasizing precision and computational costs.

Floating Point Numbers: LU Decomposition and Errors

Explores floating point numbers, LU decomposition, errors, and matrix properties.

Digital Systems: Fixed-Point and Floating-Point Arithmetic

Provides an overview of fixed-point and floating-point arithmetic in digital systems.

Floating Point Representation in Computers

Covers the representation of real numbers in a computer using floating point representation and the dangers of significant digit cancellation.

Floating Point Numbers: Extended Precision

Explores the representation of numbers using extended floating point notation.

Numerical Methods in Matlab

Covers derivation, integration, and simulation in Matlab, along with the representation of numbers and potential errors.

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