Binary arithmetic | Elementary arithmetic | Power-of-two numeral systems | Computer arithmetic

Binary number

A binary number is a number expressed in the base-2 numeral system or binary numeral system, a method of mathematical expression which uses only two symbols: typically "0" (zero) and "1" (one). The base-2 numeral system is a positional notation with a radix of 2. Each digit is referred to as a bit, or binary digit. Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used by almost all modern computers and computer-based devices, as a preferred system of use, over various other human techniques of communication, because of the simplicity of the language and the noise immunity in physical implementation. (Wikipedia).

Binary number
Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

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

Video thumbnail

Numbers as bits (2 of 2)

How we represent numbers in computers. Part of a larger series teaching programming. Visit codeschool.org Twitter: @brianwill

From playlist Numbers as bits

Video thumbnail

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

Video thumbnail

Binary Numbers | Lecture 1 | Numerical Methods for Engineers

What are binary numbers? Why are some numbers inexact when represented on a computer? Join me on Coursera: https://www.coursera.org/learn/numerical-methods-engineers Lecture notes at http://www.math.ust.hk/~machas/numerical-methods-for-engineers.pdf Subscribe to my channel: http://www.y

From playlist Numerical Methods for Engineers

Video thumbnail

Introduction to Binary numbers

In this lesson you will learn: How to count in Binary (0,1,10,11,110 etc) and how to convert a decimal number to binary and vice versa (1110 = 14 etc). Hope you find this useful :)

From playlist Technology

Video thumbnail

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

Video thumbnail

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

Video thumbnail

Set Theory (Part 19): Infinite Binary Sequences and Cantor's Diagonal Argument

Please feel free to leave comments/questions on the video and practice problems below! In this video, we will demonstrate two major results in set theory; first, the set of all infinite binary sequences is uncountably infinite and, secondly, the set of real numbers is uncountably infinite

From playlist Set Theory by Mathoma

Video thumbnail

What are Binary Operations? | Abstract Algebra

What are binary operations? Binary operations are a vital part of the study of abstract algebra, and we'll be introducing them with examples and proofs in this video lesson! A binary operation on a set S is simply a function f from SxS to S. So a binary operation is a function that takes

From playlist Abstract Algebra

Video thumbnail

Binary Genetic Algorithm - Part 2: Working Principle and Coding/Encoding Processes

This video is about Binary Genetic Algorithm - Part 2: Working Principle and Coding/Encoding Processes

From playlist Optimization

Video thumbnail

Data structures: Binary Tree

See complete series on data structures here: http://www.youtube.com/playlist?list=PL2_aWCzGMAwI3W_JlcBbtYTwiQSsOTa6P In this lesson, we have discussed binary tree in detail. We have talked about different types of binary tree like "complete binary tree", "perfect binary tree" and "balance

From playlist Data structures

Video thumbnail

Number System Conversions With Excel - Binary, Decimal, Octal & Hexadecimal

This math video tutorial provides a basic introduction into number systems and how to interconvert between decimal, binary, octal, and hexadecimal systems using excel. My Website: https://www.video-tutor.net Patreon Donations: https://www.patreon.com/MathScienceTutor Amazon Store: ht

From playlist Number Systems

Video thumbnail

ELEC2141 Digital Circuit Design - Lecture 3

ELEC2141 Week 1 Lecture 3: Number Systems

From playlist ELEC2141 Digital Circuit Design

Video thumbnail

Decimal to BCD

This number systems video tutorial explains how to convert from decimal to BCD or binary coded decimal. Subscribe: https://www.youtube.com/channel/UCEWpbFLzoYGPfuWUMFPSaoA?sub_confirmation=1 Access to Premium Videos: https://www.patreon.com/MathScienceTutor https://www.facebook.com/Math

From playlist Number Systems

Related pages

George Boole | IEEE 754 | Hexadecimal | Offset binary | Absolute value | Two's complement | Arithmetic | Bacon's cipher | Eye of Horus | Methods of computing square roots | Negation | Pingala | Rhind Mathematical Papyrus | Radix point | Gottlob Frege | Exclusive or | Balanced ternary | Number | Square root of 2 | Finger binary | Geometric series | Negative number | Logic gate | Hekat | Claude Shannon | Arithmetic shift | Power of two | Algebra | Redundant binary representation | Floating-point arithmetic | Ancient Egyptian multiplication | Logical disjunction | Division by two | Padding (cryptography) | John von Neumann | Division (mathematics) | Konrad Zuse | Multiplication | Reduction of summands | Ramon Llull | Mathematics | Long division | Quaternary numeral system | Modulo operation | Arabic numerals | Concatenation | Divisor | Location arithmetic | Signed number representations | Bit | Least significant bit | Integer (computer science) | Quotient | Subtraction | Repeating decimal | Octal | Gray code | Linear-feedback shift register | Radix | Booth's multiplication algorithm | Decimal | Irrational number | Logical connective | Positional notation | Logical conjunction | Numeral system | Binary-coded decimal | Bitwise operation | Egyptian fraction | A Symbolic Analysis of Relay and Switching Circuits