Decimal Number Place Values Quiz

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Questions and Answers

What is the place value of the fourth digit from the right in the binary number 1011.0101?

  • 2^-2
  • 2^3
  • 2^2 (correct)
  • 2^-3

What is the value of the binary number 101.11?

  • 6.75
  • 7.75
  • 4.75
  • 5.75 (correct)

What is the place value of the leftmost digit in the binary number 1101.01?

  • 2^1
  • 2^2
  • 2^0
  • 2^3 (correct)

If the binary number 1010.11 is converted to a decimal number, what would be the result?

<p>11.75 (B)</p> Signup and view all the answers

Which of the following is a valid binary number?

<p>10112 (B)</p> Signup and view all the answers

What is the radix of the binary number system?

<p>2 (D)</p> Signup and view all the answers

What is the key difference between analogue and digital representation of numerical values?

<p>Analogue representation uses continuous values, while digital representation uses discrete values. (C)</p> Signup and view all the answers

What are the common number systems discussed in the text, besides the decimal number system?

<p>Hexadecimal, octal, and binary. (A)</p> Signup and view all the answers

In a digital representation, how are numerical values typically represented?

<p>Using discrete steps of values. (B)</p> Signup and view all the answers

What is the maximum number of unique values that can be represented using $n$ binary digits?

<p>$2^n$ (B)</p> Signup and view all the answers

What is the decimal equivalent of the binary number $101.01_2$?

<p>5.375 (D)</p> Signup and view all the answers

What is the place value of the rightmost digit in the binary number $10101.01_2$?

<p>$2^{-2}$ (B)</p> Signup and view all the answers

In a number system with a radix of 5, what is the maximum number that can be represented using 4 digits?

<p>$5^4$ (D)</p> Signup and view all the answers

What is the second digit in the decimal number '23'?

<p>2 (D)</p> Signup and view all the answers

In the decimal system, how do we represent the number '16'?

<p>$1 \times 10^1 + 6 \times 10^0$ (B)</p> Signup and view all the answers

What is the correct representation of the decimal number '35' using place values?

<p>$3 \times 10^1 + 5 \times 10^0$ (D)</p> Signup and view all the answers

In a number system with a radix of 3, what is the maximum number that can be represented using 2 digits?

<p>$3^2$ (B)</p> Signup and view all the answers

How is the decimal number '47' represented in terms of place values?

<p>$4 \times 10^1 + 7 \times 10^0$ (C)</p> Signup and view all the answers

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