3.1. Data representation
A subsection of Computer Science, 9608, through 3. Advanced Theory
Listing 10 of 43 questions
In a particular computer system, real numbers are stored using floating-point representation with: • 12 bits for the mantissa • 4 bits for the exponent • two’s complement form for both mantissa and exponent. The following floating-point number stored is not normalised. Calculate the denary value for the floating-point number. Show your working. Mantissa Exponent Working Denary value Normalise the floating-point number given in part . Write your answer in the following boxes. Mantissa Exponent Describe one problem that can occur when floating-point numbers are not normalised.
9608_w20_qp_31
THEORY
2020
Paper 3, Variant 1
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In a particular computer system, real numbers are stored using floating-point representation, with: • 12 bits for the mantissa • 4 bits for the exponent • two’s complement form for both mantissa and exponent. Calculate the denary value for the following floating-point number. Show your working. Mantissa Exponent Working Denary value A new operating system has been installed that has changed the way the floating-point numbers are used. The order of the exponent and the mantissa are reversed. Calculate the new denary value for the following floating-point number that has the same bit pattern as the number in part . Show your working. Exponent Mantissa Working Denary value Identify two problems that can occur due to the change in the representation of the floating-point number. Problem 1 Problem 2
9608_w20_qp_32
THEORY
2020
Paper 3, Variant 2
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In a particular computer system, real numbers are stored using floating-point representation with: • 12 bits for the mantissa • 4 bits for the exponent • two’s complement form for both mantissa and exponent. The following floating-point number stored is not normalised. Calculate the denary value for the floating-point number. Show your working. Mantissa Exponent Working Denary value Normalise the floating-point number given in part . Write your answer in the following boxes. Mantissa Exponent Describe one problem that can occur when floating-point numbers are not normalised.
9608_w20_qp_33
THEORY
2020
Paper 3, Variant 3
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Questions Discovered
43