Computer Number System Basics
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Questions and Answers

What is the binary equivalent of the decimal number 22?

  • 11100
  • 10101
  • 10110 (correct)
  • 11010

Which of the following correctly converts the octal number (24)8 to decimal?

  • 24
  • 20 (correct)
  • 22
  • 18

In binary number conversion, which remainder indicates the least significant digit (LSD)?

  • Third remainder
  • Last remainder
  • First remainder (correct)
  • Second remainder

How is the decimal number converted to binary using division?

<p>By dividing by 2 and noting the remainders (C)</p> Signup and view all the answers

What result do you get when converting (5C)16 to decimal?

<p>92 (C)</p> Signup and view all the answers

What is the main purpose of a number system?

<p>To represent different quantities (B)</p> Signup and view all the answers

Which number system is fundamental to computer science?

<p>Binary number system (D)</p> Signup and view all the answers

What is the base or radix of the hexadecimal number system?

<p>16 (B)</p> Signup and view all the answers

In the binary number system, each digit represents what?

<p>A power of two (D)</p> Signup and view all the answers

Why is the octal number system commonly used in digital electronics?

<p>It simplifies complex binary data. (D)</p> Signup and view all the answers

Which digit values are included in the octal number system?

<p>0 through 7 (C)</p> Signup and view all the answers

What is the primary benefit of using the hexadecimal number system in computing?

<p>It reduces lengthy binary strings. (C)</p> Signup and view all the answers

How does one convert a number from one number system to another?

<p>By understanding the values of each digit in the current system (C)</p> Signup and view all the answers

Flashcards

Number System

A set of values used to represent quantities.

Binary Number System

Uses only 0 and 1 to represent numbers and data in computers.

Decimal Number System

Uses digits 0-9 to represent numbers.

Octal Number System

Uses 8 digits (0-7) for representing numbers.

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Hexadecimal Number System

Uses 16 digits (0-9, A-F) for representing numbers.

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Radix (Base)

The total number of digits in a number system.

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Binary Conversion

Converting numbers from decimal to binary format.

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Number System Conversion

The process of changing a number from one number system to another.

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Decimal to Binary

Converting a decimal number to its binary equivalent by repeatedly dividing by 2 and recording the remainders.

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Least Significant Digit (LSD)

The rightmost digit in a number, representing the smallest place value.

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Most Significant Digit (MSD)

The leftmost digit in a number, representing the largest place value.

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Binary Representation

Expressing a number using only 0s and 1s, where each digit corresponds to a power of 2.

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Power of 2 (Binary)

Each digit in a binary number represents a power of 2, increasing from right to left.

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Study Notes

Computer Number System

  • A number system is a technique used to represent numbers.
  • Number systems are used in various applications, including to calculate the number of people in a movie hall or queue.
  • The base or radix of a number system is the total number of digits available in that system.
  • Number systems are crucial for converting numbers for technical computing purposes.
  • Computer architecture relies heavily on various number systems (binary, octal, hexadecimal).

Types of Number Systems

  • Decimal: A base-10 system using digits 0-9
  • Binary: A base-2 system using digits 0 and 1, the most fundamental system in computer science
  • Octal: A base-8 system using digits 0-7, commonly used in computer programming and digital electronics.
  • Hexadecimal: A base-16 system using digits 0-9 and A-F (A = 10, B = 11, C = 12, D = 13, E = 14, F = 15), frequently used in computers to reduce the size of binary representation.

Conversion Steps of Number Systems

  • Understanding the current number system's digits and their values
  • Binary system uses powers of 2 starting from 2⁰
  • Octal uses powers of 8.
  • Hexadecimal uses powers of 16.
  • To convert a decimal number to binary, keep dividing by 2 until you reach 0; remainders form the binary equivalent. (Least significant digit is the last remainder, the most significant digit is the first remainder).

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Computer Number System PDF

Description

Explore the fundamentals of computer number systems, including decimal, binary, octal, and hexadecimal. This quiz covers the representation, applications, and conversions of different number systems essential for computer science and architecture.

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