Department of Mathematics, Cullpuler June and Physics Computer Science Assessment Test - FA 2015 III. Systems & Software Engineering (Choose at least 2 questions from Section 10) 1) Counting like a computer: Perform the following conversions. (Treat all hex and binary numbers as signed, two's complement, 16- bit integers). Please give your answer in 16 bits. i) Decimal number to Binary number -1010 to base 2 ii) Binary number to Hexadecimal number 11111010110011102 to base 16 iii) Hexadecimal number to Binary number FE0016 to base 2 iv) Binary number to Decimal number 11111110000000002 to base 10