CS3012 Formal Languages Exercises CS3012 Formal Languages Exercises 9: Postfix and Syntax Trees 1. Write a Yacc grammar with actions which prints out the postfix version of an expression from grammar G below. 1) S -> S + T 2) S -> T 3) T -> T * F 4) T -> F 5) F -> (S) 6) F -> any string of digits Paste your answer code in here: 2. Write a Yacc grammar with actions which computes the result of an expression from grammar G above. e.g. if (4+2)*(3+6) is input, it should print out 54. Paste your answer code in here: 3. Write some Lex and Yacc to use the syntax-directed definition of Example 12.10 in the notes to parse the following expressions and construct the syntax trees: (i) 3*b+2 (ii) (6+9)*zed (iii) a*2*five You will need to write C functions for each of the three functions used in the example. Paste your answer code in here: