Integer

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Mathematics
Arithmetic
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Related lectures (28)

Page 2 of 3

Operations in Z

Covers addition properties and operations in the set of integers Z.

Order of Operations: Unnecessary Parentheses

Discusses the significance of moving parentheses before calculations and the rules for simplifying expressions and prioritizing operations.

Properties of Subtraction

Covers the properties of subtraction and the distributivity of multiplication.

Cartesian Product and Induction

Introduces Cartesian product and induction for proofs using integers and sets.

Integers Representation: Sign-and-Magnitude vs Two's Complement

Compares sign-and-magnitude with two's complement integer representations, emphasizing complexity differences and addressing overflow and underflow challenges.

Integers: Sets, Maps, and Principles

Introduces sets, maps, divisors, prime numbers, and arithmetic principles related to integers.

Bitwise Operators: Integers Types

Covers bitwise operators for integers and representing colors using 32-bit integers.

Powers, Roots, etc.: Calculation Rules

Covers the rules of calculation for powers, roots, and more, focusing on positive numbers and integers.

Problem-solving Strategies: Sum of N Integers (Recursive)

Covers the recursive algorithm for calculating the sum of the first N integers.

Number Theory: Operations and Equivalence

Covers operations and equivalence relations in number theory, including addition, subtraction, multiplication, division, and properties of neutral and inverse elements.