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1.1. Number systems
A subsection of Computer Science, 2210, through 1. Data representation
Listing 10 of 41 questions
Sensors and a microprocessor monitor a car exhaust for high temperature and high carbon monoxide (CO) levels. Describe how the sensors and microprocessor are used to monitor the temperature and CO levels and warn the driver if either is out of range. The information from seven sensors is sent to an engine management system in the car. The status of each sensor is stored in an 8-bit register; a value of 1 indicates a fault condition: parity bit CO level too high temperature too high fuel pressure too low oil pressure too low brake pads too thin voltage too low airbag fault For example, a register showing 0 1 0 1 1 0 0 0 indicates: • temperature too high • fuel pressure too low • voltage too low Identify the fault conditionthat the following register indicates: The system uses odd parity. Write the correct parity bit in each register. A car has a faulty airbag and the CO level is too high. Write what should be contained in the 8-bit register. Give the hexadecimal value of the binary number shown in part .
2210_w15_qp_13
THEORY
2015
Paper 1, Variant 3
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A computer uses an 8-bit register. The 8-bit register contains binary integers. Write the denary (base 10) value represented by: All the bits in the register are shifted one place to the right as shown below. Write the denary number that is represented after this shift. State the effect the shift to the right had on the original denary number from part . The original number in part is shifted three places to the right. Show the new binary number: Write the equivalent denary number. Describe the problems that could be caused if the original binary number in part is shifted five places to the right.
2210_w16_qp_12
THEORY
2016
Paper 1, Variant 2
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Denary is a number system that is used by programmers. Tick (✓) one box to show whether denary is a base-2, base-10 or base-16 number system. Tick (✓) Base-2 Base-10 Base-16 Hexadecimal values can be used to represent denary values. Convert these four hexadecimal values into denary values. 1A AB Working space Hexadecimal values can also be converted to binary values. Tick (✓) one box to show the correct 8-bit binary value for each hexadecimal value. Hexadecimal value 25 Tick (✓) Hexadecimal value 1B Tick (✓) Give one way that hexadecimal is used in website development. Give one way that hexadecimal is used in low-level programming.
2210_w21_qp_12
THEORY
2021
Paper 1, Variant 2
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A register stores the binary number: Give the denary number for the binary number stored in the register. Working space Give the hexadecimal number for the binary number stored in the register. Working space A logical left shift of two places is performed on the binary number stored in the register. Complete the binary register to show its contents after this logical left shift. The negative denary number −99 needs to be stored in the register. Complete the register to show the binary number that would be stored, using two’s complement. Show all your working. Working space Register: The number 01001100 is added to 11100011 Add the two 8-bit binary numbers, using binary addition. Give your answer in binary. Show all your working.
2210_w23_qp_12
THEORY
2023
Paper 1, Variant 2
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Questions Discovered
41