Number Systems Quiz: Decimal to Binary and Octal

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Questions and Answers

What is the result of dividing 33 by 2 in the first step of the process?

  • 16 R 1 (correct)
  • 18 R 0
  • 15 R 3
  • 17 R 1

In the process of converting the decimal number 25 to binary, which step results in the balance of 1?

  • When dividing by 2 to get 12
  • When dividing by 2 to get 3 (correct)
  • When dividing by 2 to get 6
  • When dividing by 2 to get 1

At what point in the division process does the quotient first reach 0?

  • After dividing 4 by 2
  • After dividing 8 by 2
  • After dividing 2 by 2 (correct)
  • After dividing 1 by 2

How is the binary representation of the decimal number 25 expressed after completing the conversion process?

<p>11001 (B)</p> Signup and view all the answers

What does the 'R' in the division process signify?

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

What digits are used in the octal number system?

<p>0 - 7 (A)</p> Signup and view all the answers

Which of the following methods can be used to convert from decimal to octal?

<p>Repeated Division Method (A)</p> Signup and view all the answers

Octal digits can be represented by which grouping of binary digits?

<p>Groups of three (A)</p> Signup and view all the answers

What is the mathematical base of the octal number system?

<p>Base 8 (A)</p> Signup and view all the answers

Which operations are used in the octal number system for conversion to and from base 10?

<p>Multiplication and Division (A)</p> Signup and view all the answers

Flashcards

Decimal to Binary Conversion

The process of repeatedly dividing a number by 2, recording the quotient in the next row and the remainder in the current row, and continuing this process until the quotient reaches 0. This method is used to convert a decimal number to its binary equivalent.

Quotient

The result of dividing a number by another number. The quotient is the whole number part of the answer, while the remainder is the leftover part.

Remainder

The value that is left over after dividing two numbers, where the smaller number (divisor) cannot be divided into the larger number (dividend) a whole number of times.

Least Significant Bit (LSB)

The least significant bit (LSB) is the rightmost bit in a binary representation of a number. Think of it as the 'ones' place in decimal.

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Most Significant Bit (MSB)

The most significant bit (MSB) is the leftmost bit in a binary representation of a number. Think of it as the 'largest' place value in the binary number

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Octal Number System

A number system that uses the digits 0 through 7.

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Decimal to Octal Conversion

The process of converting a decimal number (base 10) to an octal number (base 8).

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Octal and Binary Relationship

A group of three binary digits (0s and 1s) can be used to represent a single octal digit.

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Multiplication and Division Algorithms

A method used to convert between octal and decimal numbers.

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Base 8 System

The base of the octal number system is 8, meaning there are 8 unique digits used.

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