Logic Systems: Representations and Arithmetic

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Related lectures (23)

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Place-Valued Arithmetic: Addition and Subtraction

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

Logic Systems: Representations and Arithmetic

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

Integer Representations: Magnitude & Complement

Explores integer representations, focusing on sign-and-magnitude, one's complement, two's complement, Excess-N, overflow, underflow, and binary multiplication.

Logic Systems: Representations and Number Systems

Explores the representation of logic circuits and place-value notation for natural numbers.

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.

Number Systems: Fixed and Floating-Point Representations

Discusses fixed-point and floating-point representations in digital systems, covering key concepts like precision, accuracy, and the IEEE 754 standard.

Number Systems: Fixed and Floating-Point Representations

Provides an overview of fixed-point and floating-point number representations in digital systems.

Computation: information representation

Covers the conversion between binary and decimal numbers, addition, subtraction, multiplication, and division operations.

Number Theory: Integer Representation

Covers the representation of integers using different bases and algorithms for base expansion.

Computer Arithmetic (Integers)

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