4.5.4.1 Unsigned binary Quiz: AQA Computer Science, Unit 5

The 20 questions

1. What is the minimum value of an unsigned n-bit binary number?

   • 1
   • -(2^n - 1)
   • 0
   • -(2^(n-1))

2. What is the maximum value of an unsigned n-bit binary number?

   • 2^(n-1) - 1
   • 2^n
   • 2^n - 1
   • n^2

3. Which type of numbers can signed binary represent that unsigned binary cannot?

   • Fractional numbers
   • Negative integers
   • Real numbers
   • Large positive integers

4. What is the largest value of an 8-bit unsigned binary number?

   • 256
   • 255
   • 128
   • 127

5. Which 8-bit unsigned binary pattern represents 0?

   • 0000 0000
   • 1111 1111
   • 0000 0001
   • 1000 0000

6. How many different values can unsigned n-bit binary represent?

   • 2^n
   • 2n
   • n^2
   • n

7. Which 4-bit unsigned binary number represents decimal 9?

   • 1011
   • 1100
   • 0111
   • 1001

8. Convert the unsigned binary number 1101 0110 to decimal.

   • 246
   • 212
   • 214
   • 218

9. Convert the decimal number 200 to 8-bit unsigned binary.

   • 1100 1000
   • 1100 0100
   • 1001 1000
   • 1010 1000

10. Add the unsigned 8-bit binary numbers 0110 1011 and 0001 1101. What is the result?

    • 0111 1000
    • 1000 1000
    • 1001 1000
    • 1000 0111

11. What is the 4-bit result of adding unsigned binary 1111 and 0001?

    • 1111
    • 0000
    • 10000
    • 1110

12. Multiply the unsigned binary numbers 101 and 11. What is the result?

    • 1101
    • 1111
    • 1110
    • 1011

13. Convert the decimal number 45 to 8-bit unsigned binary.

    • 0010 1011
    • 0010 1101
    • 0101 1010
    • 0011 1100

14. What is the decimal value of the 5-bit unsigned binary number 10110?

    • 22
    • 44
    • 20
    • 26

15. A 3-bit unsigned counter starts at 000 and increments by 1 each time. What value does it show after 6 increments?

    • 111
    • 101
    • 100
    • 110

16. Which decimal range can a 6-bit unsigned value represent?

    • 1 to 63
    • 0 to 31
    • 0 to 63
    • 0 to 64

17. What minimum number of bits is required to store the sum of two n-bit unsigned integers?

    • 2n
    • n + 2
    • n + 1
    • n

18. How many bits are required to represent all unsigned integers from 0 to 1000?

    • 11 bits
    • 8 bits
    • 9 bits
    • 10 bits

19. Multiply the unsigned 4-bit binary number 1111 by itself. What is the decimal result and the number of bits needed to store it?

    • 225, which needs 4 bits
    • 210, which needs 8 bits
    • 225, which needs 8 bits
    • 240, which needs 8 bits

20. What is the maximum decimal value that can be represented using 16-bit unsigned binary?

    • 32767
    • 65536
    • 32768
    • 65535

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