4.5.4.4 Numbers with a fractional part Quiz: AQA Computer Science, Unit 5

The 20 questions

1. In fixed-point binary representation, what remains in a static position?

   • Sign bit
   • Binary point
   • Radix length
   • Exponent

2. Which two components form a simplified floating-point binary number at A Level?

   • Significand and modulus
   • Integer and fraction
   • Base and power
   • Mantissa and exponent

3. What decimal value does the first binary place after the point represent?

   • One eighth
   • One quarter
   • One tenth
   • One half

4. What is the decimal value of the binary fraction 0.11?

   • 0.875
   • 0.5
   • 0.75
   • 0.25

5. In AQA A Level Computer Science, how are mantissa and exponent represented?

   • Sign and magnitude
   • Unsigned binary
   • Binary coded decimal
   • Two's complement

6. What simplified structure is used for floating point numbers instead of the IEEE standard?

   • Sign and magnitude
   • Binary coded decimal
   • Fixed point binary
   • Mantissa and exponent

7. Convert decimal 5.75 to fixed point binary with 2 fractional bits.

   • 101.10
   • 101.01
   • 101.11
   • 110.11

8. Convert the binary number 110.101 to decimal.

   • 6.625
   • 5.625
   • 6.25
   • 6.5

9. Convert decimal 0.375 to binary.

   • 0.011
   • 0.110
   • 0.101
   • 0.111

10. Convert decimal 2.5 to 4-bit fixed point with 2 integer bits and 2 fractional bits.

    • 11.00
    • 01.10
    • 10.10
    • 10.01

11. A floating point value has mantissa 0.1011 and exponent 011 in base 2. What is its decimal value?

    • 11
    • 0.6875
    • 2.75
    • 5.5

12. A floating point value has mantissa 0.1100 and exponent 2 in base 2. What is its decimal value?

    • 0.75
    • 6
    • 1.5
    • 3

13. Convert decimal 0.625 to binary.

    • 0.100
    • 0.011
    • 0.110
    • 0.101

14. Convert decimal 13.5 to fixed point binary with 4 integer bits and 2 fractional bits.

    • 1101.01
    • 1101.10
    • 1011.01
    • 1110.10

15. A fixed point format uses 4 integer bits and 4 fractional bits. What are the largest value and the resolution?

    • Largest 15.0, resolution 1
    • Largest 15.9375, resolution 0.0625
    • Largest 16, resolution 0.5
    • Largest 15.9375, resolution 0.125

16. For the same number of bits, which representation provides a much larger range?

    • Binary coded decimal
    • Fixed point
    • Floating point
    • Two's complement

17. A floating point value has mantissa 0.0011 and exponent 1 in base 2. What is its decimal value?

    • 0.375
    • 0.1875
    • 0.0625
    • 0.75

18. Why can decimal 0.2 not be stored exactly in binary fixed point?

    • It exceeds range
    • It needs exponent
    • It is negative
    • It recurs infinitely

19. A fixed point format uses 3 integer bits and 2 fractional bits. What are the largest value and the resolution?

    • Largest 7.5, resolution 0.5
    • Largest 7.875, resolution 0.125
    • Largest 7.75, resolution 0.25
    • Largest 8, resolution 0.25

20. With 4 fractional bits, which decimal value can be stored exactly?

    • 0.8125
    • 0.7
    • 0.3
    • 0.1

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