COS10003 Computer and Logic Essentials- Problem Solving Ability

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COS10003 Computer and Logic Essentials

Task

Aim

This assessment task allows you to demonstrate your problem solving ability on problems covering data representation. It is worth 10% of your final mark for this unit.

Questions

Important: For questions 1 and 2, there are different values to work with depending on your surname. Look in Canvas for further details regarding your starting point.

Your responses to the following questions must show your reasoning (or working out). No marks will be provided for correct answers alone. Non-decimal numbers have a prefix indicating their base.

1. [2+2+4=8 marks] For the values given below for your starting point only, determine the requested value:

Starting point 1: a) 728, b) -98, c) 218.5
Starting point 2: a) 1698, b) -42, c) 236.5

a) The hexadecimal representation of the decimal value
b) The 8-bit two’s complement representation of the negative decimal value
c) The IEEE 754 single precision floating point representation of the decimal value. Please write your final answer with spaces between the sign, exponent, and mantissa.

2. [2+2+2+2=8 marks] Given the 16-bit binary string below for your starting point only, determine its value as requested.

Starting point 1: 0100 1101 1001 1100
Starting point 2: 0010 1111 1001 1010

a) A hexadecimal value.
b) Two 8-bit unsigned integers as decimal values.
c) Two 8-bit signed integers (two’s complement) as decimal values.
d) One half-precision (16 bit) floating point value as a decimal value.

3. [4 marks] ?? You have been given the following code which represents some Unicode characters in UTF-8 encoding. Explain briefly how you detected the characters (note you are expected to demonstrate this in binary/octal). Express the message contained as Unicode code points.

df 81 e2 91 a1 34 f0 9d 8d a7

Hint: A sequence that should be becoming familiar.

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