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Computer Organization and Architecture, Unit 1: Number Systems and Data Representation

Computer Organization and Architecture, unit: Number Systems and Data Representation. Core concepts, terminology, and worked-example cues a college student meets for this unit, building on prior units without repeating them. Front: a term, concept, or short problem cue. Back: the definition, explanation, or answer.

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What number system do computers fundamentally use?
Binary, representing data using only 0s and 1s
What is a bit?
The smallest unit of data in computing, representing a 0 or 1
What is a byte?
A group of 8 bits
What is binary (base-2)?
A number system using only the digits 0 and 1
What is decimal (base-10)?
The standard number system using digits 0 through 9
What is hexadecimal (base-16)?
A number system using digits 0 through 9 and letters A through F
Why is hexadecimal commonly used in computing?
It compactly represents binary values, with each hex digit corresponding to 4 bits
What is octal (base-8)?
A number system using digits 0 through 7
How is an unsigned binary number converted to decimal?
By summing the powers of 2 corresponding to each set bit
What is two's complement?
A method for representing signed integers in binary, allowing subtraction via addition
How is a negative number represented in two's complement?
By inverting all bits of its positive value and adding 1
What is overflow, in binary arithmetic?
When a calculation produces a result too large to fit in the allotted number of bits
What is ASCII?
A character encoding standard mapping text characters to numeric byte values
What is Unicode?
A character encoding standard supporting a much larger range of characters across world languages
What is floating-point representation used for?
Representing real numbers with a fractional component in binary

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