The IEEE 754-2008 standard includes decimal floating-point number formats in which the significand and the exponent (and the payloads of NaNs) can be encoded in two ways, referred to as binary encoding and decimal encoding. Both formats break a number down into a sign bit s, an exponent q (between qmin and qmax), and a p-digit significand c (between 0 and 10p−1). The value encoded is (−1)s×10q×c. In both formats the range of possible values is identical, but they differ in how the significand c is represented. In the decimal encoding, it is encoded as a series of p decimal digits (using the densely packed decimal (DPD) encoding). This makes conversion to decimal form efficient, but requires a specialized decimal ALU to process. In the binary integer decimal (BID) encoding, it is encoded as a binary number. (Wikipedia).
Binary 3 – Fixed Point Binary Fractions
This is the third in a series of videos about the binary number system which is fundamental to the operation of a digital electronic computer. It covers the representation of real numbers in binary using a fixed size, fixed point, register. It explains with examples how to convert both po
From playlist Binary
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 1 - Converting to and from Denary
This is the first in a series of computer science videos about the binary number system which is fundamental to the operation of a digital electronic computer. It covers the need for binary and details of how to convert positive whole numbers in base 10 into 8 bit binary, and vice versa.
From playlist GCSE Computer Science
In this video, you’ll learn more about decimals. Visit https://www.gcflearnfree.org/decimals/ for our interactive text-based tutorial. This video includes information on: • Reading decimals • Comparing decimals We hope you enjoy!
From playlist Math Basics
How To Add and Subtract Binary Numbers
This video explains how to add and subtract binary numbers. The full version of this video contains extra examples of subtracting, multiplying, and dividing binary numbers. Full 43 Minute Video: https://www.youtube.com/watch?v=eAdWDu3s8xM
From playlist Number Systems
👉 Learn all about decimals. Decimals are numbers written with a decimal point. Digits can be written to the right or to the left of the decimal point. Digits are written to the left of the decimal point increase in value by multiples of 10 while digits written to the right decrease by mul
From playlist Decimals | Learn About
Binary 2 - Two's Complement Representation of Negative Numbers
This is the second in a series of computer science videos about the binary number system which is fundamental to the operation of a digital electronic computer. It covers the two's complement system of representing positive and negative integers in binary. It demonstrates how two's comple
From playlist Binary
Visualizing decimal numbers and their arithmetic 67 | Arithmetic and Geometry Math Foundations
This video gives a precise definition of a decimal number as a special kind of rational number; one for which there is an expression a/b where a and b are integers, with b a power of ten. For such a number we can extend the Hindu-Arabic notation for integers by introducing the decimal form
From playlist Math Foundations
ch1 2: Representation of numbers in different bases. Wen Shen
Wen Shen, Penn State University. Lectures are based on my book: "An Introduction to Numerical Computation", published by World Scientific, 2016. See promo video: https://youtu.be/MgS33HcgA_I
From playlist CMPSC/MATH 451 Videos. Wen Shen, Penn State University
How we represent numbers in computers. Part of a larger series teaching programming. Visit codeschool.org Twitter: @brianwill
From playlist Numbers as bits
Back To Basics! Fixed Point Numbers in C++
In this video I look at a simple Fixed Point Number implementation in C++. I use constexpr to let the IDE run the code without even compiling anything! The final result is a small template class that permits arbitrary precision fixed point calculations. Patreon: https://www.patreon.com/ja
From playlist Interesting Programming
RubyConf 2022: 1.5 is the Midpoint Between 0 and Infinity by Peter Zhu
What’s the midpoint between 0 and infinity? Well, the answer differs depending on whether you are asking a mathematician, philosopher, or a Ruby developer. I’m not a mathematician or a philosopher, but I am a Ruby developer, so I can tell you that 1.5 is the midpoint between 0 and infinity
From playlist RubyConf 2022: Mini and Houston
ELEC2141 Digital Circuit Design - Lecture 3
ELEC2141 Week 1 Lecture 3: Number Systems
From playlist ELEC2141 Digital Circuit Design
CTNT 2022 - Wieferich Primes (by Keith Conrad)
This video is one of the special guess talks or conference talks that took place during CTNT 2022, the Connecticut Summer School and Conference in Number Theory. Note: not every special guest lecture or conference lecture was recorded. More about CTNT: https://ctnt-summer.math.uconn.edu/
From playlist CTNT 2022 - Conference lectures and special guest lectures
Best Python Book : http://goo.gl/Q6dep6 Python How to use variables, integers, floats, decimals, math functions, print format, variable conversions, etc. You watch as I write the code for an easy way to learn python. All of the code is here All the code is here http://bit.ly/aOuRqU
From playlist Python Tutorial
Discrete Math - 4.2.1 Decimal Expansions from Binary, Octal and Hexadecimal
Converting integers from binary, octal and hexadecimal representations to decimal expansions. Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https://www.youtube.com/playlist?list=PLl-gb0E4MII28GykmtuBXNUNoej-vY5Rz
From playlist Discrete Math I (Entire Course)
1.11.4 Cantor's Theorem: Video
MIT 6.042J Mathematics for Computer Science, Spring 2015 View the complete course: http://ocw.mit.edu/6-042JS15 Instructor: Albert R. Meyer License: Creative Commons BY-NC-SA More information at http://ocw.mit.edu/terms More courses at http://ocw.mit.edu
From playlist MIT 6.042J Mathematics for Computer Science, Spring 2015
Numerical data explained | Introducing digits, range and precision for programming beginners
Numerical data is one of the two types of data inside every computer program, and we use numerical data to represent the outside world. Let's take a detailed look at numerical data inside computer programs. 1) Numerical data inside computer programs: Integers and decimals 2) How numbers r
From playlist Data Science - Learn to code for beginners
1. Unsigned Binary Numbers - How to Convert From Unsigned Binary Numbers to Whole Numbers
This tutorial shows how to convert from an unsigned binary number to a whole number. Join this channel to get access to perks: https://www.youtube.com/channel/UCn2SbZWi4yTkmPUj5wnbfoA/join :)
From playlist Binary Numbers