# 35 - Past Paper Simulation - Data Rep (A) #2

1. Convert the denary number 188 to an unsigned 8-bit binary number.(1 mark)

2. Convert the denary number 188 to hexadecimal. (1 mark)

3. The following is a normalised floating point number with five bits for the mantissa and three bits for the exponent. What is it in Decimal(denary)? (2 marks)
`1.0110 010 (You will get one mark for using the word negative or positive, and one for the actual number value in denary)`

4. Express the denary number -0.25 in normalised floating point format with five bits for the mantissa and three bits for the exponent (2 marks)

5. Convert the denary number 1.625 to a normalised floating point binary number using 5 bits for the mantissa and 3 bits for the exponent. Show your working.(2 mark)
`This would usually be 3 marks in an exam (with marks for showing your working) Here you will get 1 mark for the mantissa and 1 for the exponent.`

6. A floating point number is represented with a mantissa of 8-bits followed by an exponent of 4-bits, both in two's complement. Identify whether this number is normalised. (1 mark)
`Floating point number: 00011010 0010`

7. How did you arrive at your answer to question 4?(1 mark)

8. Express the denary number -43 in binary using 8-bit two's complement representation. (1 mark)

9. Represent the number 55 in normalised floating point binary notation, using 8 bits for the mantissa followed by 8 bits for the exponent, both in two's complement binary.(2 marks)

10. Represent the number 55 in normalised floating point binary notation, with the mantissa and exponent both in two's complement binary, using as few bits as possible. (2 marks)

11. A real binary number may be represented in normalised floating point binary notation, using 4 bits for the mantissa followed by 3 bits for the exponent, both in two's complement binary. Convert the denary value 1.75 to normalised two's complement binary (

12. Two floating point numbers are shown below. Calculate the answer of the second number subtracted from the first. Ensure your answer is normalised. (1 mark)
`Perform the following subtraction: >> 01001100 0011 - 01001010 0010. In your answer leave a space between the mantissa and the exponent`