69. Convert the following prefix expression to postfix: * + A B - C D
Answer:
The given prefix expression is * + A B - C D. In order to convert it
to a postfix expression, we follow the reverse process of the prefix
to postfix conversion.
Step 1: Reverse the prefix expression: D C - B A + *
Step 2: Use a stack to evaluate the expression from left to right.
Result: A B + C D - *.
70. Convert the following postfix expression to prefix: AB+CD-*
Answer:
The given postfix expression is AB+CD-*.
Step 1: Read the postfix expression from left to right and use a stack
to evaluate it.
Step 2: Push operands onto the stack. When encountering an operator,
pop the required number of operands, and create a new prefix
expression.
Final prefix expression: * + A B - C D.
71. Convert the prefix expression / * A B + C D to a postfix expression.
Answer:
The prefix expression is / * A B + C D.
Step 1: Reverse the prefix expression: D C + B A * /
Step 2: Evaluate from left to right using a stack.
Postfix expression: A B * C D + /.
72. Convert the postfix expression ABC+*D/ to prefix.
Answer:
The given postfix expression is ABC+*D/.
Step 1: Read the postfix expression from left to right, pushing
operands onto the stack.
Step 2: When encountering operators, pop operands and form a prefix
expression.
Prefix expression: / * A + B C D.
73. Convert the prefix expression - * A B + C D to postfix.
Answer:
The prefix expression is - * A B + C D.
Step 1: Reverse the prefix expression: D C + B A * -
Step 2: Using a stack, evaluate from left to right.
Postfix expression: A B * C D + -.
74. Convert the postfix expression AB*CD+/ to prefix.
Answer:
The given postfix expression is AB*CD+/.
Step 1: Read the expression from left to right, push operands onto a
stack.
Step 2: Use the stack to evaluate when encountering operators.
Prefix expression: / * A B + C D.
75. Convert the prefix expression + A / B C to postfix.
Answer:
The prefix expression is + A / B C.
Step 1: Reverse the prefix expression: C B / A +
Step 2: Use a stack to evaluate.
Postfix expression: A B C / +.
76. Convert the postfix expression ABC+/D* to prefix.
Answer:
The given postfix expression is ABC+/D*.
Step 1: Push operands onto the stack.
Step 2: Pop operands and create prefix expressions as operators
appear.
Prefix expression: * + A B / C D.
77. Convert the prefix expression - / A B + C D to postfix.
Answer:
The prefix expression is - / A B + C D.
Step 1: Reverse the prefix expression: D C + B A / -
Step 2: Evaluate using a stack.
Postfix expression: A B / C D + -.
78. Convert the postfix expression ABC+D/- to prefix.
Answer:
The given postfix expression is ABC+D/-.
Step 1: Push operands onto the stack.
Step 2: Use the stack to create prefix expressions as operators
appear.
Prefix expression: - / A B + C D.
79. Convert the prefix expression * A + B C to postfix.
Answer:
The prefix expression is * A + B C.
Step 1: Reverse the prefix expression: C B + A *
Step 2: Evaluate using a stack.
Postfix expression: A B C + *.
80. Convert the postfix expression AB+CD-* to prefix.
Answer:
The given postfix expression is AB+CD-*.
Step 1: Push operands onto the stack.
Step 2: Pop operands and form prefix expressions.
Prefix expression: * + A B - C D.
81. Convert the prefix expression / - A B + C D to postfix.
Answer:
The prefix expression is / - A B + C D.
Step 1: Reverse the prefix expression: D C + B A - /
Step 2: Evaluate using a stack.
Postfix expression: A B - C D + /.
82. Convert the postfix expression AB-CD+* to prefix.
Answer:
The given postfix expression is AB-CD+*.
Step 1: Push operands onto the stack.
Step 2: Use the stack to form prefix expressions as operators appear.
Prefix expression: * - A B + C D.
83. Convert the prefix expression + A * B C to postfix.
Answer:
The prefix expression is + A * B C.
Step 1: Reverse the prefix expression: C B * A +
Step 2: Evaluate using a stack.
Postfix expression: A B C * +.
84. Convert the postfix expression ABC*- to prefix.
Answer:
The given postfix expression is ABC*-.
Step 1: Push operands onto the stack.
Step 2: Use the stack to form prefix expressions as operators appear.
Prefix expression: - A * B C.
85. Convert the prefix expression * - A B + C D to postfix.
Answer:
The prefix expression is * - A B + C D.
Step 1: Reverse the prefix expression: D C + B A - *
Step 2: Evaluate using a stack.
Postfix expression: A B - C D + *.
86. Convert the postfix expression AB*CD+/ to prefix.
Answer:
The given postfix expression is AB*CD+/.
Step 1: Push operands onto the stack.
Step 2: Use the stack to form prefix expressions as operators appear.
Prefix expression: / * A B + C D.
87. Convert the prefix expression / + A B - C D to postfix.
Answer:
The prefix expression is / + A B - C D.
Step 1: Reverse the prefix expression: D C - B A + /
Step 2: Use a stack to evaluate.
Postfix expression: A B + C D - /.
88. Convert the postfix expression AB+CD-* to prefix.
Answer:
The given postfix expression is AB+CD-*.
Step 1: Push operands onto the stack.
Step 2: Use the stack to form prefix expressions as operators appear.
Prefix expression: * + A B - C D.