May/June 2026 Paper 13

2026 · 8 questions · 34 parts · 75 marks

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Context for question 8
A building has a security keypad that requires the input of a 3-digit denary number. The denary number input is then converted to an 8-bit binary number.
8(a)Binary Hexadecimal Data UnitsEasy2 marks
The denary numbers 071 and 200 are input. Convert these denary numbers to 8-bit binary numbers.
8(b)Binary Hexadecimal Data UnitsEasy2 marks
Two binary numbers are 00101001 and 10110100. Give the denary numbers that were input for these binary numbers.
8(c)Embedded Systems Sensors ActuatorsMedium3 marks
A microprocessor is used to find out whether a user has input the correct 3-digit denary number. Explain the role of the microprocessor in this process.

Answer

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Context for 8(d)
A display screen next to the keypad displays the current temperature inside the building. The current temperature is stored as a two’s complement binary integer and is displayed as a denary number.
8(d)(i)Binary Arithmetic Signed NumbersMedium2 marks
Give the denary number that would be displayed for each of the two’s complement binary integers.
8(d)(ii)Binary Arithmetic Signed NumbersEasy1 mark
Give the two’s complement binary integer that would be stored when the denary number 14 is displayed.