Concept

Arithmetic

Related lectures (27)

Covers binary representation, two's complement, overflow detection, and operations in MIPS for computer arithmetic with integers.

Elementary Algebra: Numeric Sets

Explores elementary algebra concepts related to numeric sets and prime numbers, including unique factorization and properties.

Place-Valued Arithmetic: Addition and Subtraction

Explores place-valued arithmetic, covering addition, subtraction, and limitations of digital systems.

Logic Systems: Representations and Arithmetic

Explores logic system representations, place-value notation, addition, subtraction, and digital system limitations, culminating in a multifunction alarm watch project.

Logic Systems: Representations and Arithmetic

Explores representations, arithmetic, and limitations in logic systems, including place-value notation and binary arithmetic.

Geometry: Euclidean Elements & Vitruvius

Explores Euclid's first proposition, ancient symmetria, and Vitruvius' architectural figures.

Computer Arithmetic: Floating Point Operations

Covers the basics of computer arithmetic, focusing on floating point numbers and their operations.

Algebra: Fundamental Theorem

Covers a general introduction and discusses algebra, emphasizing the importance of unique factorization in algebraic structures.

Integration on H_pxH and Arithme

Covers integration on H_pxH and arithmetic topics, focusing on the Hensel Lemma and the process of finding R and S such that R.S-P=0.

Datapath Design: Mandelbrot & Fixed-Point

Explores datapath design for Mandelbrot set and fixed-point number representation in digital systems.

Number Theory: Congruence

Explains congruence modulo m and its applications in arithmetic operations.

Ring Constructions: Structure Theorems

Explores operations on ideals and structure theorems in commutative rings.

Polynomial Applications: Combinatorial Computations

Delves into using polynomials for combinatorial computations and explores operations and identities with binomial coefficients.

Number Theory: Congruence

Covers congruence modulo m and arithmetic operations.

Computer Architecture: Fibonacci Sequence

Covers the basics of computer architecture through building a machine for calculating the Fibonacci sequence in binary.

Pointers and Arrays: Arithmetic, Buffer Overflow

Covers the arithmetic of pointers, the relationship between pointers and arrays, and the concept of buffer overflow in C programming.

Fundamental Theorem of Arithmetic

Covers prime numbers, unique decomposition of natural numbers into prime factors, and practical implications for calculations.

Expressions and Operators: Basics of C++

Covers expressions, operators, literals, arithmetic operations, integer division, and mathematical functions in C++.

Number Theory: Primes

Covers the definition of primes, the Fundamental Theorem of Arithmetic, and Euclid's Theorem.

Binary Numbers: Representation and Operations

Explores binary number representation, arithmetic operations, microcontroller instruction sets, and practical development processes.