Binary arithmetic | Floating point types
In computing, quadruple precision (or quad precision) is a binary floating point–based computer number format that occupies 16 bytes (128 bits) with precision at least twice the 53-bit double precision. This 128-bit quadruple precision is designed not only for applications requiring results in higher than double precision, but also, as a primary function, to allow the computation of double precision results more reliably and accurately by minimising overflow and round-off errors in intermediate calculations and scratch variables. William Kahan, primary architect of the original IEEE-754 floating point standard noted, "For now the 10-byte Extended format is a tolerable compromise between the value of extra-precise arithmetic and the price of implementing it to run fast; very soon two more bytes of precision will become tolerable, and ultimately a 16-byte format ... That kind of gradual evolution towards wider precision was already in view when IEEE Standard 754 for Floating-Point Arithmetic was framed." In IEEE 754-2008 the 128-bit base-2 format is officially referred to as binary128. (Wikipedia).
Binary 4 – Floating Point Binary Fractions 1
This is the fourth in a series of videos about the binary number system which is fundamental to the operation of a digital electronic computer. In particular, this video covers the representation of real numbers using floating point binary notation. It begins with a description of standard
From playlist Binary
Binary 5 – Floating Point Range versus Precision
This is the fifth in a series of videos about the binary number system which is fundamental to the operation of a digital electronic computer. In particular, this video elaborates on the representation of real numbers using floating point binary notation. It explains how the relative allo
From playlist Binary
IEEE 754 Standard for Floating Point Binary Arithmetic
This computer science video describes the IEEE 754 standard for floating point binary. The layouts of single precision, double precision and quadruple precision floating point binary numbers are described, including the sign bit, the biased exponent and the mantissa. Examples of how to con
From playlist Binary
Binary 8 – Floating Point Binary Subtraction
This is the eighth in a series of videos about the binary number system which is fundamental to the operation of a digital electronic computer. In particular, this video covers subtraction of floating point binary numbers for a given sized mantissa and exponent, both in two’s complement.
From playlist Binary
Binary 7 – Floating Point Binary Addition
This is the seventh in a series of videos about the binary number system which is fundamental to the operation of a digital electronic computer. In particular, this video covers adding together floating point binary numbers for a given sized mantissa and exponent, both in two’s complement.
From playlist Binary
12/05/2019, Nicolas Brisebarre
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From playlist Fall 2019 Symbolic-Numeric Computing Seminar
Everything You Need to Know About JPEG - Episode 6 Part 2: Inverse DCT
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From playlist Fourier
How to subtract a larger decimal from a smaller decimal
👉 You will learn how to add and subtract numbers in decimal form. When adding and subtracting decimals it is very important to align the decimal points and use zero as space holders. Then you will apply the operations just like we do in multi-digit operations but keep track of the decima
From playlist Decimals
Learn how to subtract a larger decimal from a smaller decimal
👉 You will learn how to add and subtract numbers in decimal form. When adding and subtracting decimals it is very important to align the decimal points and use zero as space holders. Then you will apply the operations just like we do in multi-digit operations but keep track of the decima
From playlist Decimals
Emil Saucan (7/29/22): Discrete Morse Theory, Persistent Homology and Forman-Ricci Curvature
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From playlist Applied Geometry for Data Sciences 2022
👉 You will learn how to add and subtract numbers in decimal form. When adding and subtracting decimals it is very important to align the decimal points and use zero as space holders. Then you will apply the operations just like we do in multi-digit operations but keep track of the decima
From playlist Decimals
From playlist CS50 Sections 2012
Overview Surveys - Nikhil Padmanabhan
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From playlist Unbiased Cosmology from Biased Tracers
Urs Lang (2/3/23): Combinatorial dimension and higher-rank hyperbolicity
Dress characterized metric spaces of combinatorial dimension at most n in terms of a 2(n+1)-point inequality. We investigate a relaxed version of this inequality, which in the case n = 1 reduces to Gromov's quadruple definition of δ-hyperbolicity and which we experimentally call (n,δ)-hype
From playlist Vietoris-Rips Seminar
Dynamo onset as a first-order transition by Rahul Pandit
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From playlist GdR Dynamo 2015
Decimal Notation: Writing Decimals in Words
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From playlist Introduction to Decimals