A Level Number Systems Quiz
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Question 1 of 8
1. Question
1 point(s)Convert the denary number 231 into an 8 bit unsgned binary number.
(no working required)
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Question 2 of 8
2. Question
1 point(s)The binary bit pattern 10110110 has been represented in Sign & Magnitude. Convert this bit pattern into its denary format.
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Question 3 of 8
3. Question
1 point(s)The binary bit pattern 10110110 has been represented in Two’s Complement. Convert this bit pattern into its denary format.
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Question 4 of 8
4. Question
2 point(s)A student is performing a binary addition on the following numbers.
011011010 101110110
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The outcome of the addition would be:
The error that this creates is:
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Question 5 of 8
5. Question
2 point(s)Computers store binary as real numbers in a floating point representation.
Which two mantissas below are not normalised?
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Question 6 of 8
6. Question
3 point(s)A normalised floating point binary number is represented using 9 bits for the mantissa and 5 bits for the exponent.
Calculate the floating point representation for the denary number 10.375
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Mantissa =
Exponent =
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Question 7 of 8
7. Question
4 point(s)A normalised floating point binary number is represented using 9 bits for the mantissa and 5 bits for the exponent.
Calculate the denary representation for the binary number:
Mantissa: 100100101 Exponent: 00110
Show your working by filling in the missing sections:
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1.00100101 x 2^00110
1.00100101 x 2^
x 2^
Denary =
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Question 8 of 8
8. Question
3 point(s)A floating point binary number is represented using 9 bits for the mantissa and 5 bits for the exponent. This number is not normalised.
Correct the representation so that the number is normalised:
Mantissa: 000100101 Exponent: 00110
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Denary =
Corrected:
Mantissa: Exponent:
CorrectIncorrect -