Number Bases, Decimal, Binary, Hexadecimal, Octal - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains how to represent numbers in different bases, including decimal, binary, hexadecimal and octal.
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Convert Integer to Binary, Euclidean Division Theorem - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains how to convert an integer to binary.
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Convert Integer to Octal, Euclidean Division Theorem - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains how to convert an integer to octal.
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Convert Integer to Hexadecimal, Euclidean Division Theorem - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains how to convert an integer to hexadecimal.
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Convert Non-Integer to Binary, Repeating Digits - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains how to convert a non-integer to binary.
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Convert Non-Integer to Binary - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains how to convert a non-integer to binary.
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Convert Non-Integer to Hexadecimal - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains how to convert a non-integer to hexadecimal.
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Convert Hexadecimal to Binary and Octal - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains how to convert between hexadecimal, binary and octal number bases.
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Adding Binary Numbers - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains how to add binary numbers.
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Adding Hexadecimal Numbers - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains how to add hexadecimal numbers.
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Subtracting Binary Numbers - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains how to subtract binary numbers.
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Subtracting Hexadecimal Numbers - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains how to subtract hexadecimal numbers.
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Multiplying Binary Numbers - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains how to multiply binary numbers.
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Multiplying Hexadecimal Numbers - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains how to multiply hexadecimal numbers.
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Dividing Binary Numbers - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains how to divide binary numbers.
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Dividing Hexadecimal Numbers - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains how to divide hexadecimal numbers.
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Ten's Complement, Subtraction - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains how to subtract integers using complements.
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Two's Complement, Binary Subtraction - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains how to subtract integers using complements.
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Two's Complement, Represent Negative Binary Numbers - Discrete Mathematics
DrOfEng
This Discrete Mathematics explains how negative numbers are represented in computer memory using the two's complement.
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Normalised Scientific Notation - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains how real numbers can be represented using normalised scientific notation, which is useful for understanding how real numbers are stored in computer memory.
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Real Numbers, IEEE754 Floating Point Standard - Discrete Mathematics
DrOfEng
This Discrete Mathematics explains how real numbers are stored in computer memory using the IEEE754 floating point standard.
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Real Numbers, IEEE754 Floating Point Standard, Example - Discrete Mathematics
DrOfEng
This Discrete Mathematics video covers a worked example on converting a binary number to a float using the IEEE754 floating point standard.
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Algorithms, Pseudocode - Discrete Mathematics
DrOfEng
This Discrete Mathematics video provides an introduction to mathematical algorithms and pseudocode.
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Horner's Method, Evaluating Polynomials - Discrete Mathematics
DrOfEng
This Discrete Mathematics video describes Horner's method for evaluating polynomials using a worked example. The pseudocode is provided to show how you would implement the algorithm in a computer.
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Collision Detection, Games, Computer Graphics - Discrete Mathematics
DrOfEng
This Discrete Mathematics video covers a worked example on how write a collision detection algorithm, which is used in computer graphics and games.
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Encryption Algorithm, Cryptography, Caesar Cipher - Discrete Mathematics
DrOfEng
This Discrete Mathematics video covers a worked example on how to write a cryptographic algorithm. Basic modular arithmetic is also covered.
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Lottery Algorithm, Binomial Theorem - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains how the number of combinations in the lottery can be determined using the binomial theorem, which is also verified using a computer program.
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Sigma Notation, Iteration and Recursion - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains sigma (or summation) notation using several examples.
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Geometric Series, Iteration and Recursion - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains the geometric series and derives a closed form relation for this series.
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Arithmetic Series, Iteration and Recursion - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains the arithmetic series and derives a closed form relation for this series.
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Fibonacci Sequence, Iteration - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains Iteration using the well-known Fibonacci sequence.
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Recursion, Fibonacci Sequence - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains recursion using the well-known Fibonacci sequence.
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Recursion, Factorial, Recurrence Relation - Discrete Mathematics
DrOfEng
This Discrete Mathematics video derives the recurrence relation of a factorial sequence using a worked example.
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Recurrence Relations, Standard Form, Properties - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains the standard linear form of recurrence relations and their properties, including linear, homogeneous, order and variable coefficients.
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Recurrence Relations, 1st Order, Homogeneous, Solution - Discrete Mathematics
DrOfEng
This Discrete Mathematics video derives the general solution for a 1st order homogeneous recurrence relation with constant coefficients.
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Recurrence Relations, 2nd Order, Homogeneous, Solution - Discrete Mathematics
DrOfEng
This Discrete Mathematics video derives the general solution for 2nd order homogeneous recurrence relations with constant coefficients.
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Fibonacci Recurrence Relation, Solution, Example - Discrete Mathematics
DrOfEng
This Discrete Mathematics video covers a worked example on the solution to the Fibonacci recurrence relation.
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Recurrence Relation, 2nd Order, Solution, Example - Discrete Mathematics
DrOfEng
This Discrete Mathematics video covers a worked example on the solution to a recurrence relation with one repeated real root.
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Non-Homogeneous 2nd Order Recurrence Relations, General Solution - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains the method of superposition for determining the general solution for 2nd order non-homogeneous recurrence relations.
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Non-Homogeneous 2nd Order Recurrence Relations, Solution, Special Cases - Discrete Mathematics
DrOfEng
This Discrete Mathematics video identifies two special cases that need to be considered when selecting a particular solution to a non-homogeneous 2nd order recurrence relation.
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2nd Order Non-Homogeneous Recurrence Relations, Example - Discrete Mathematics
DrOfEng
This Discrete Mathematics video covers a worked example on 2nd order non-homogeneous recurrence relations.
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2nd Order Non-Homogeneous Recurrence Relations, Example - Discrete Mathematics
DrOfEng
This Discrete Mathematics video covers a worked example on 2nd order non-homogeneous recurrence relations.
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Computational Complexity, Introduction - Discrete Mathematics
DrOfEng
This Discrete Mathematics video provides an introduction to computational complexity.
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Big O, Informal Definition - Discrete Mathematics
DrOfEng
This Discrete Mathematics video provides an informal definition of Big O.
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Comparing Growth Rates, Logarithms - Discrete Mathematics
DrOfEng
This Discrete Mathematics video compares the growth rates of logarithms to other functions and describes the basic properties of logarithms.
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Typical Growth Rates, log(N), N, Nlog(N), N^2, 2^N, N! - Discrete Mathematics
DrOfEng
This Discrete Mathematics video covers the typical growth rates encountered when determining the complexity of algorithms.
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Big O, O(f(N)), Formal Definition - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains the formal definition of Big O using a worked example.
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Big O, O(f(N)), Formal Definition, Examples - Discrete Mathematics
DrOfEng
This Discrete Mathematics video covers worked examples on the formal definition of Big O.
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Big O, Lazy C Approach, Example - Discrete Mathematics
DrOfEng
This Discrete Mathematics video covers a worked example on Big O.
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Triangle Inequality, Refine Big O Calculations - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains how the triangle inequality can be used to determine the order of a function using a worked example.
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Big O Inequality, Different Constants c and n0 - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains how to predict the order of a function using Big O and better constants, drawing an analogy to predicting the growth of algorithms.
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Big O, Refined Calculation, Large N - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains a Big O calculation that is more refined for algorithms i.e. positive function and large N.
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Big O, Refined Calculation, Example - Discrete Mathematics
DrOfEng
This Discrete Mathematics video covers a worked example on the refined Big O calculation.
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Bubble Sort, Big O, O(N^2), Analysis of Algorithms - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains how to determine the order of the Bubble Sort algorithm.
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Bubble Sort, Big O, O(N^2), Recurrence Relation - Discrete Mathematics
DrOfEng
This Discrete Mathematics video explains how to determine the order of the Bubble Sort algorithm by deriving the recurrence relation.
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Merge Sort, Algorithm Analysis, Big O, O(nlogn) - Discrete Mathematics
DrOfEng
This Discrete Mathematics video derives the Big O of the Merge Sort algorithm.
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Binary Search Algorithm, Analysis, Big O, O(logn) - Discrete Mathematics
DrOfEng
This Discrete Mathematics video derives the Big O of the Binary Search algorithm.
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Binary Search, Analysis, Big O, O(logn), Recurrence Relation - Discrete Mathematics
DrOfEng
This Discrete Mathematics video derives the Big O of the Binary Search algorithm using recurrence relations.
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Adding Binary Numbers - Discrete Mathematics
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This Discrete Mathematics video explains how to add binary numbers.
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