Systems (Two's Complement and Binary PPQ's)
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Convert the number −120 into 8 bit two’s complement. 1 mark 2018 question 1
1000 1000 From SQA marking scheme
Convert the following 8-bit two’s complement number into denary. 1001 1010 1 mark 2019 question 1
-102 From SQA marking scheme
Two’s complement can be used to represent positive and negative integers. State the range of denary values that can be represented using 32‐bit two’s complement. 2 marks 2022 question 1
• -2^31 OR -2 147 483 648 • 2^31 – 1 OR 2 147 483 647 Help me out guys! From SQA marking scheme
Write the following binary number using floating‐point representation. −111 0000 1111.0101 There are 16 bits for the mantissa (including the sign bit) and 8 bits for the exponent. Sign: Mantissa: Exponent: 2022 question 2
• sign bit: 1 • 111 0000 1111 0101 • exponent: 0000 1011 From SQA marking scheme
Convert the 8-bit two’s complement number 1111 0000 into denary. 1 mark 2023 question 1
-16 From SQA marking scheme
Convert the binary number below into floating-point representation. −0.0000 0101 0000 1111 There are 16 bits for the mantissa (including the sign bit) and 8 bits for the exponent. 3 marks 2023 question 3(a)
• Sign: 1 • Remaining mantissa: 101 0000 1111 0000 • Exponent: 1111 1011 From SQA marking scheme
State the effect of increasing the number of bits allocated to the mantissa. 1 mark 2023 question 3(b)
Floating point numbers could be stored more precisely/accurately. From SQA marking scheme