Decimal Number Place Values Quiz

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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?

11.75 Signup and view all the answers

Which of the following is a valid binary number?

10112 Signup and view all the answers

What is the radix of the binary number system?

2 Signup and view all the answers

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

Analogue representation uses continuous values, while digital representation uses discrete values. Signup and view all the answers

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

Hexadecimal, octal, and binary. Signup and view all the answers

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

Using discrete steps of values. Signup and view all the answers

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

$2^n$ Signup and view all the answers

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

5.375 Signup and view all the answers

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

$2^{-2}$ 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?

$5^4$ Signup and view all the answers

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

2 Signup and view all the answers

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

$1 \times 10^1 + 6 \times 10^0$ Signup and view all the answers

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

$3 \times 10^1 + 5 \times 10^0$ 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?

$3^2$ Signup and view all the answers

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

$4 \times 10^1 + 7 \times 10^0$ Signup and view all the answers