IFN503: Assessment 2 – Deliverable 1

IFN503: Assessment 2 – Deliverable 1
Due Date: 11:59pm Sunday 8th September 2019 (Week 7)
Submission: Online via Blackboard
Weighting: 20%; Total Marks: 60; Individual
Instructions on how to present your answers.
1. Include the actual question and give your answers below each part of the
question, including all the working for each part of the question.
2. Any plagiarism on the actual question would be ignored.
Question 1 (10 marks)
What is the ASCII representation for the character string +15.3682 in the following
number systems:
(a) Hexadecimal : 31 35 2e 33 36 38 32
(b) Binary
00110001 00110101 00101110 00110011 00110110 00111000 00110010
(c) Octal 611 522 706 315 434 062
(d) Decimal 13850746402781234
Question 2 (20 marks)
(a) Represent the fixed point decimal number + 78.875 in IEEE 754 floating
point format. Express your final answer in hexadecimal showing all the
working.
(10 marks)
Sign bit 31- 0
78 in binary is 0100 1110
.875 in binary is
.875 x 2 = 1.750
.750 x 2 = 1.500
.500 x 2 = 1.000
S0 .875 in binary = 111
Complete number is 0100 1110.111
This gives exponent = 127 + 6 = 133
Mantissa = 00111011100000000000000
Together in hex: 0x429dc000
(b) Consider a hypothetical floating point format which is similar to IEEE 754
format except that it uses 6 bit excess-31 notation for the exponent, and 25 bits
1