# describe the concepts of data representations and use appropriate methods of implementation

Answer the following:

1. Convert the followings: [5 marks]

a. 0xAC12 to binary

b. -107_{10} to 8-bit 2’s Complement

c. 10011110 (8-bit 2’s complement representation) to decimal

d. 1101011010_{2} into hexadecimal

e. 110_{8} into hexadecimal

2. Show how the floating point value 36.625 would be stored using IEEE-754 single precision (be sure to indicate the sign bit, the exponent, and the significand fields) [5 marks]

*Online submission via Turnitin is required for this assignment.*Rationale

This assessment task covers topic 2, and has been designed to ensure that you are engaging with the subject content on a regular basis. More specifically it seeks to assess your ability to:

- be able to describe the concepts of data representations and use appropriate methods of implementation;
- be able to calculate different number systems.

Marking criteriaThe following marking criteria will be used to mark the assignment:

Questions | Fail ( | Pass (50% - 64%) | Credit (65% - 74%) | Distinction (75% - 84%) | High Distinction (>84%) |

Question 1 & 2 | Neither the answers are correct nor the steps. | The answer is not correct, but the steps are correct. | The answer is correct or there were only a few slip of pen, or a step or two were missing. | Answer is correctAll steps were shown. |

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Answer the following:

1. Convert the followings: [5 marks]

a. 0xAC12 to binary

b. -107

_{10}to 8-bit 2’s Complement

c. 10011110 (8-bit 2’s complement representation) to decimald. 1101011010

_{2}into …