21. Convert the infix expression (A+B)*(C-D) to prefix expression.
Answer:
To convert the infix expression (A+B)*(C-D) to prefix expression, we
need to follow the operator precedence and associativity rules.
The steps are as follows:
1. First, convert (A+B) and (C-D) to prefix.
2. (A+B)
becomes +AB and (C-D) becomes -CD.
3. Now, multiply these two
sub-expressions.
4. The final prefix expression is *+AB-CD.
22. Convert the prefix expression *+AB-CD to infix expression.
Answer:
The given prefix expression is *+AB-CD.
1. Start from the rightmost operator and process each one
sequentially.
2. First, we identify * as the operator. So, the
infix form would be (A+B)*(C-D).
3. Therefore, the infix
expression is (A+B)*(C-D).
23. Convert the infix expression A*(B+C/D) to prefix expression.
Answer:
To convert the infix expression A*(B+C/D) to prefix, follow these
steps:
1. First, deal with the sub-expression inside parentheses
(B+C/D).
2. C/D becomes /CD, and then (B+C/D) becomes +B/CD.
3. Finally, multiply this sub-expression with A, which gives us
*A+B/CD.
24. Convert the prefix expression -+ABC to infix expression.
Answer:
The given prefix expression is -+ABC.
1. Start from the leftmost operator and process each one
sequentially.
2. First, apply +AB, which becomes (A+B).
3.
Next, apply the operator -, which gives us (A+B)-C.
4.
Therefore, the infix expression is (A+B)-C.
25. Convert the infix expression (X+Y)/(Z-W) to prefix expression.
Answer:
To convert the infix expression (X+Y)/(Z-W) to prefix, follow these
steps:
1. First, convert (X+Y) and (Z-W) to prefix.
2. (X+Y)
becomes +XY and (Z-W) becomes -ZW.
3. Now divide these two
sub-expressions.
4. The final prefix expression is /+XY-ZW.
27. Convert the infix expression (P/Q)+(R-S) to prefix expression.
Answer:
To convert the infix expression (P/Q)+(R-S) to prefix, follow these
steps:
1. First, convert (P/Q) and (R-S) to prefix.
2. (P/Q)
becomes /PQ and (R-S) becomes -RS.
3. Now add these two
sub-expressions.
4. The final prefix expression is +/PQ-RS.
28. Convert the prefix expression +*AB/CD to infix expression.
Answer:
The given prefix expression is +*AB/CD.
1. Start from the leftmost operator and process each one
sequentially.
2. First, apply *AB, which becomes (A*B).
3.
Then, apply /CD, which becomes (C/D).
4. Finally, apply +,
giving the infix expression as ((A*B)+(C/D)).
29. Convert the infix expression A/(B*C+D) to prefix expression.
Answer:
To convert the infix expression A/(B*C+D) to prefix, follow these
steps:
1. First, deal with the sub-expression inside parentheses
(B*C+D).
2. B*C becomes *BC, and then (B*C+D) becomes +*BCD.
3. Finally, divide this sub-expression by A, which gives us
/A+*BCD.
30. Convert the prefix expression -*AB/CD to infix expression.
Answer:
The given prefix expression is -*AB/CD.
1. Start from the leftmost operator and process each one
sequentially.
2. First, apply *AB, which becomes (A*B).
3.
Then, apply /CD, which becomes (C/D).
4. Finally, apply -,
giving the infix expression as ((A*B)-(C/D)).
31. Convert the infix expression (X-Y)*(Z+W) to prefix expression.
Answer:
To convert the infix expression (X-Y)*(Z+W) to prefix, follow these
steps:
1. First, convert (X-Y) and (Z+W) to prefix.
2. (X-Y)
becomes -XY and (Z+W) becomes +ZW.
3. Now multiply these two
sub-expressions.
4. The final prefix expression is *-XY+ZW.
32. Convert the prefix expression /-AB*CD to infix expression.
Answer:
The given prefix expression is /-AB*CD.
1. Start from the leftmost operator and process each one
sequentially.
2. First, apply -AB, which becomes (A-B).
3.
Then, apply *CD, which becomes (C*D).
4. Finally, apply /,
giving the infix expression as ((A-B)/(C*D)).
33. Convert the infix expression A+B*C-D to prefix expression.
Answer:
To convert the infix expression A+B*C-D to prefix, follow these steps:
1. First, multiply B and C to get *BC.
2. Then, add A to
*BC to get +A*BC.
3. Finally, subtract D from +A*BC, which gives
-+A*BCD.
35. Convert the infix expression (M+N)*(P-Q)/R to prefix expression.
Answer:
To convert the infix expression (M+N)*(P-Q)/R to prefix, follow these
steps:
1. First, convert (M+N) and (P-Q) to prefix.
2. (M+N)
becomes +MN and (P-Q) becomes -PQ.
3. Multiply +MN and -PQ,
which gives *+MN-PQ.
4. Finally, divide by R to get / *+MN-PQ R.