1. Convert the followings: [5 marks] a. 0xAC12 to binary b. −10710 to 8-bit 2's Complement c. 10011110 (8-bit 2's complement representation) to decimal d. 11010110102 into hexadecimal e. 1108 into hexadecimal 2. The following binary number is stored using the floating point representation of IEEE-754 single precision format. Find out the value in decimal. [5 marks] 11101000011010000000000000000000 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 criteria The following marking criteria will be used to mark the assignment: Questions Fail (<50%) 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 correct All steps were shown. Assessment item 3 Assignment 3 Value: 10% Due date: 10-Apr-2015 Return date: 01-May-2015 Submission method options EASTS (online) Task Total Marks: 10 Answer the following questions: 1. Design a digital combinational circuit which compares two 2-bit binary numbers and produces results using a 2-bit binary number (please see the block diagram below). The output Z1Z0 depends on the inputs A1A0 and B1B0 according to the following criteria: • If (A1A0 > B1B0) the output Z1Z0 = 10 • If (A1A0 < B1B0) the output Z1Z0 = 01 • If (A1A0 = B1B0) the output Z1Z0 = 11 You should use minimum number of logic gates. [7 marks] 2. Using basic Boolean algebra identities, prove that ABC+ABC'+AB'C+A'BC = AB + AC + BC. Please show all steps and mention the identities used. [3 marks]