Binary arithmetic | Parity (mathematics) | Error detection and correction
A parity bit, or check bit, is a bit added to a string of binary code. Parity bits are a simple form of error detecting code. Parity bits are generally applied to the smallest units of a communication protocol, typically 8-bit octets (bytes), although they can also be applied separately to an entire message string of bits. The parity bit ensures that the total number of 1-bits in the string is even or odd. Accordingly, there are two variants of parity bits: even parity bit and odd parity bit. In the case of even parity, for a given set of bits, the bits whose value is 1 are counted. If that count is odd, the parity bit value is set to 1, making the total count of occurrences of 1s in the whole set (including the parity bit) an even number. If the count of 1s in a given set of bits is already even, the parity bit's value is 0. In the case of odd parity, the coding is reversed. For a given set of bits, if the count of bits with a value of 1 is even, the parity bit value is set to 1 making the total count of 1s in the whole set (including the parity bit) an odd number. If the count of bits with a value of 1 is odd, the count is already odd so the parity bit's value is 0. Even parity is a special case of a cyclic redundancy check (CRC), where the 1-bit CRC is generated by the polynomial x+1. (Wikipedia).
What is the multiplicity of a zero?
π Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number
From playlist Zeros and Multiplicity of Polynomials | Learn About
What is multiplicity and what does it mean for the zeros of a graph
π Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number
From playlist Zeros and Multiplicity of Polynomials | Learn About
What are zeros of a polynomial
π Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number
From playlist Zeros and Multiplicity of Polynomials | Learn About
Find the zeros factoring vs square root method
π Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number
From playlist Zeros and Multiplicity of Polynomials | Learn About
Overview of zeros of a polynomial - Online Tutor - Free Math Videos
π Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number
From playlist Zeros and Multiplicity of Polynomials | Learn About
Overview of Multiplicity of a zero - Online Tutor - Free Math Videos
π Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number
From playlist Zeros and Multiplicity of Polynomials | Learn About
Is Zero an Even Number? | One Minute Bites | Don't Memorise
Mathematical parity is one of the first rules we learn in our early arithmetic classes. It defines how we split up all integers into the two categories: Even numbers and Odd numbers. So where exactly does βZeroβ fall? Watch this One Minute Bites video to find out whether Zero is an Even
From playlist One Minute Bites
Learn how and why multiplicity of a zero make sense
π Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number
From playlist Zeros and Multiplicity of Polynomials | Learn About
Checksums and Hamming distance
The term "checksum" can refer to all sorts of different error detection codes. How are some better than others? What types of errors are they good at detecting? And how do you calculate different types of checksums? Support these videos on Patreon: https://www.patreon.com/beneater or http
From playlist Error detection
What is Parity Check? | Parity Check Error Detection | Parity Check Matrix | Simplilearn
In this video on 'What Is Parity Check?', we will look into the working of the network method parity bit check, which uses redundant bits to perform the error check at the receiver side and uses even and the odd parity bit to perform the method. Topics covered in this video on 'What Is Pa
From playlist Networking
4. Linear block codes, parity relations
MIT 6.02 Introduction to EECS II: Digital Communication Systems, Fall 2012 View the complete course: http://ocw.mit.edu/6-02F12 Instructor: George Verghese This lecture continues to cover linear block codes. The generator matrix and matrix notation are introduced, along with examples of e
From playlist MIT 6.02 Introduction to EECS II: Digital Communication Systems, Fall 2012
Error detection: Parity checking
Parity checking is a basic technique for detecting errors in data transmission. This video explains how it works and walks through building hardware to compute and check parity. The hardware is based on my previous video: https://youtu.be/eq5YpKHXJDM Code from this video: https://github.
From playlist Error detection
How to send a self-correcting message (Hamming codes)
A discovery-oriented introduction to error correction codes. Part 2: https://youtu.be/b3NxrZOu_CE Ben Eater:'s take: https://youtu.be/h0jloehRKas Help fund future projects: https://www.patreon.com/3blue1brown An equally valuable form of support is to simply share some of the videos. Specia
From playlist Explainers
Hamming Code For Error Detection And Correction | Hamming Code Error Correction | Simplilearn
In this video on "Hamming Code for Error Detection," we will look into the introductory knowledge related to the network technique of hamming code. This network will allow us to detect and correct errors on the receiver side. Explained in the stepwise format for proper clarification. Topi
From playlist Networking
5. Error correction, syndrome decoding
MIT 6.02 Introduction to EECS II: Digital Communication Systems, Fall 2012 View the complete course: http://ocw.mit.edu/6-02F12 Instructor: George Verghese This lecture continues to explore error correction through a closer look at the generator matrix and the parity check matrix. Syndrom
From playlist MIT 6.02 Introduction to EECS II: Digital Communication Systems, Fall 2012
1.2.12 Worked Examples: Error Correction
MIT 6.004 Computation Structures, Spring 2017 Instructor: Silvina Hanono View the complete course: https://ocw.mit.edu/6-004S17 YouTube Playlist: https://www.youtube.com/playlist?list=PLUl4u3cNGP62WVs95MNq3dQBqY2vGOtQ2 1.2.12 Worked Examples: Error Correction License: Creative Commons BY
From playlist MIT 6.004 Computation Structures, Spring 2017
MIT 6.02 Introduction to EECS II: Digital Communication Systems, Fall 2012 View the complete course: http://ocw.mit.edu/6-02F12 Instructor: George Verghese This lecture starts with historical applications of error control and convolutional codes in space programs. Convolutional codes are
From playlist MIT 6.02 Introduction to EECS II: Digital Communication Systems, Fall 2012
π Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number
From playlist Zeros and Multiplicity of Polynomials | Learn About
Overview Zeros of a functions - Online Math Tutor - Free Math Videos
π Learn about zeros and multiplicity. The zeroes of a polynomial expression are the values of x for which the graph of the function crosses the x-axis. They are the values of the variable for which the polynomial equals 0. The multiplicity of a zero of a polynomial expression is the number
From playlist Zeros and Multiplicity of Polynomials | Learn About
Multiple Dimension Error Correction - Computerphile
As communications become more complicated, the amount of bits required to succesfully correct an error increases, but by how much? Professor Brailsford talks multi-dimensional parity bits. Professor Brailsford's earlier videos: https://www.youtube.com/playlist?list=PLzH6n4zXuckpKAj1_88VS
From playlist Subtitled Films