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Assignment No. 1
CS606 – Compiler Construction
Total Marks: 20
November 30, 2018
Please read the following instructions carefully before submitting assignment:
It should be clear that your assignment will not get any credit if:
o Assignment is submitted after due date.
o Submitted assignment does not open or file is corrupt.
o Assignment is copied (From internet/ to from students).
Software (s) Used to develop Assignment
- MS Word
- MS Paint
Assignment Submission Instructions
Microsoft Word file is required to submit on LMS.
Given that binary number strings are read with the most significant bit first and may have leading zeroes, construct DFAs for each of the following languages:
a. Binary number strings that represent numbers that are multiples of 4, e.g., 0, 100 and 10100. (5 Marks)
b. Binary number strings that represent numbers that are multiples of 5, e.g., 0, 101, 10100 and 11001. (10 Marks)
Hint: Make a state for each possible remainder after division by 5 and then add a state to avoid accepting the empty string.
Construct a DFA that recognizes balanced sequences of parenthesis with a maximal nesting depth of 3, e.g., e, ()(), (()(())) or (()())()() but not (((()))) or (()(()(()))). (5 Marks)
Your assignment must be uploaded on or before the due date. We shall not accept your solution through email after the due date.
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