Binary arithmetic | Non-standard positional numeral systems
A redundant binary representation (RBR) is a numeral system that uses more bits than needed to represent a single binary digit so that most numbers have several representations. An RBR is unlike usual binary numeral systems, including two's complement, which use a single bit for each digit. Many of an RBR's properties differ from those of regular binary representation systems. Most importantly, an RBR allows addition without using a typical carry. When compared to non-redundant representation, an RBR makes bitwise logical operation slower, but arithmetic operations are faster when a greater bit width is used. Usually, each digit has its own sign that is not necessarily the same as the sign of the number represented. When digits have signs, that RBR is also a signed-digit representation. (Wikipedia).
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
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
From playlist Week 0 2015 Shorts
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
Table Of Ordered Pairs: Substitution | Algebra | Maths | FuseSchool
In this video we’re going to look at how to use substitution in equations to generate a table of ordered pairs. Ordered pairs (coordinates) can be used to solve equations, to plot graphs, and so we come across them a lot in Maths. You should already know how to substitute into equations,
From playlist MATHS
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
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
Arithmetic With... Continued Fractions?? #SoME2
Arithmetic! On continued fractions! It's possible, but not well known or widely used in practice. This video explores the basics of this underappreciated area of math. This is my submission for SoME2 (https://www.youtube.com/watch?v=hZuYICAEN9Y&t=0s) SOURCES & FURTHER READING: Continued
From playlist Summer of Math Exposition 2 videos
Sets might contain an element that can be identified as an identity element under some binary operation. Performing the operation between the identity element and any arbitrary element in the set must result in the arbitrary element. An example is the identity element for the binary opera
From playlist Abstract algebra
Machine Learning Summer School 2014 in Pittsburgh http://www.mlss2014.com See the website for more videos and slides. Nando de Freitas Lecture 3
From playlist Talks and tutorials
Shannon 100 - 27/10/2016 - Vincent GRIPON
Vers une théorie de l'information mentale Vincent Gripon (Télécom Bretagne) Dans les réseaux de neurones du néocortex viennent s'imprimer nos souvenirs par le biais du mécanisme de plasticité synaptique. Celui-ci nous permet de stocker des éléments d'information variés à l'échelle d'une
From playlist Shannon 100
Examples of Binary Operations (and Non-Examples) | Abstract Algebra
What are binary operations? A binary operation is a function from the cartesian product of a set with itself back to that same set. In other words, a binary operations takes two elements from the same set and assigns the ordered pair of them to exactly one element also in that set (since i
From playlist Abstract Algebra
Prove that the Set of Binary Palindrome Strings Is Uncountable
We use two methods to prove that the set of binary palindrome strings is uncountable. Cantor's Diagonal Argument, and Proof through a surjective function to a known uncountable set. Diagonalization is a famous proof technique first by Cantor. See wiki here: Cantor's diagonal argument
From playlist All Things Recursive - with Math and CS Perspective
Discrete Structures: Floating-Point Representation and IEEE-754
In this session we'll learn how computers store floating-point numbers using a standard called IEEE-754. However, because the number of bits in the real standard is unwieldy, we will use a modified representation that uses fewer bits.
From playlist Discrete Structures, Spring 2022
Graph Representation part 03 - Adjacency List
See complete series on data structures here: http://www.youtube.com/playlist?list=PL2_aWCzGMAwI3W_JlcBbtYTwiQSsOTa6P In this lesson, we have talked about Adjacency List representation of Graph and analyzed its time and space complexity of adjacency list representation. Previous Lesson:
From playlist Data structures
Binary 6 – Normalised Floating Point Binary Fractions
This is the sixth 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 conversion of real numbers, both positive and negative, from denary into normalised floating point binary. It
From playlist Binary
Jerome Darbon - Algorithms for Non-Local Filtering; application CryoElectron & biological microscopy
Recorded 15 September 2022. Jerome Darbon of Brown University presents "Efficient algorithms for Non-Local Filtering and applications to Cryo-Electron microscopy and biological microscopy" at IPAM's Computational Microscopy Tutorials. Abstract: We present fast and scalable algorithms for n
From playlist Tutorials: Computational Microscopy 2022
Compilation - Part Five: Object Code Generation
This is part five of a series of videos about compilation. Part five is about generating machine code from intermediate representations of a program, such as syntax trees or three address code (TAC). It covers instruction selection, register allocation and assignment and instruction orde
From playlist Compilation
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
Week 8: Friday - CS50 2007 - Harvard University
Huffman coding. Preprocessing. Compiling. Assembling. Linking. CPUs. Ant-8.
From playlist CS50 Lectures 2007