49. Convert the infix expression (A + B) * (C + D) to postfix expression.
Answer:
To convert the infix expression (A + B) * (C + D) to postfix, we follow the precedence of operators and associativity.
Step-by-step conversion:
1. (A + B) becomes AB+
2. (C + D) becomes CD+
3. Now the
entire expression becomes AB+CD+*.
The postfix expression is: AB+CD+*
50. Convert the infix expression A * (B + C) / D to postfix expression.
Answer:
Step-by-step conversion:
1. A * (B + C) becomes ABC+*
2. Now, divide the result by D.
The postfix expression is: ABC+*D/
51. Convert the postfix expression AB+C* to infix expression.
Answer:
In postfix, operands appear before operators, so the order of operations is important.
Step-by-step conversion:
1. A and B are operands, and + is an operator, so combine them as (A +
B).
2. C is the next operand, and * is the operator, so multiply
(A + B) with C.
The infix expression is: (A + B) * C
52. Convert the infix expression (A / B) + (C * D) - E to postfix expression.
Answer:
Step-by-step conversion:
1. (A / B) becomes AB/
2. (C * D) becomes CD*
3. Now add AB/
and CD*
4. Finally, subtract E.
The postfix expression is: AB/CD*+E-
53. Convert the postfix expression AB+CD+*E- to infix expression.
Answer:
Step-by-step conversion:
1. AB+ becomes (A + B)
2. CD+ becomes (C + D)
3. Now
multiply (A + B) with (C + D) to get (A + B) * (C + D)
4.
Subtract E from the result.
The infix expression is: ((A + B) * (C + D)) - E
54. Convert the infix expression A * B + C / D to postfix expression.
Answer:
Step-by-step conversion:
1. A * B becomes AB*
2. C / D becomes CD/
3. Now add AB* and
CD/.
The postfix expression is: AB*CD/+
55. Convert the postfix expression AB*C+D/ to infix expression.
Answer:
Step-by-step conversion:
1. AB* becomes (A * B)
2. C and D are operands, and / is the
operator, so combine them as (C / D)
3. Now add (A * B) and (C /
D).
The infix expression is: (A * B) + (C / D)
56. Convert the infix expression (A - B) * (C + D) / E to postfix expression.
Answer:
Step-by-step conversion:
1. (A - B) becomes AB-
2. (C + D) becomes CD+
3. Multiply
AB- with CD+, then divide by E.
The postfix expression is: AB-CD+*E/
57. Convert the postfix expression AB-CD+*E/ to infix expression.
Answer:
Step-by-step conversion:
1. AB- becomes (A - B)
2. CD+ becomes (C + D)
3. Multiply (A
- B) with (C + D), then divide by E.
The infix expression is: ((A - B) * (C + D)) / E
58. Convert the infix expression A + B * (C - D) to postfix expression.
Answer:
Step-by-step conversion:
1. B * (C - D) becomes BCD-*
2. Now add A to the result.
The postfix expression is: ABCD-*+
59. Convert the postfix expression ABCD-*+ to infix expression.
Answer:
Step-by-step conversion:
1. BCD-* becomes B * (C - D)
2. Now add A to the result.
The infix expression is: A + (B * (C - D))
60. Convert the infix expression A * B + C - D to postfix expression.
Answer:
Step-by-step conversion:
1. A * B becomes AB*
2. Now add C, and then subtract D.
The postfix expression is: AB*C+D-
61. Convert the postfix expression AB*C+D- to infix expression.
Answer:
Step-by-step conversion:
1. AB* becomes (A * B)
2. Add C to the result, then subtract D.
The infix expression is: (A * B) + C - D
62. Convert the infix expression A + (B * C) - D to postfix expression.
Answer:
Step-by-step conversion:
1. B * C becomes BC*
2. Now add A to BC* and then subtract D.
The postfix expression is: ABC*+D-
63. Convert the postfix expression ABC*+D- to infix expression.
Answer:
Step-by-step conversion:
1. BC* becomes (B * C)
2. Add A to (B * C), then subtract D.
The infix expression is: A + (B * C) - D
64. Convert the infix expression (A - B) * (C / D) + E to postfix expression.
Answer:
Step-by-step conversion:
1. (A - B) becomes AB-
2. (C / D) becomes CD/
3. Multiply
AB- with CD/ and then add E.
The postfix expression is: AB-CD/*E+
65. Convert the postfix expression AB-CD/*E+ to infix expression.
Answer:
Step-by-step conversion:
1. AB- becomes (A - B)
2. CD/ becomes (C / D)
3. Multiply (A
- B) with (C / D), then add E.
The infix expression is: ((A - B) * (C / D)) + E
66. Convert the infix expression A * (B + C) - D / E to postfix expression.
Answer:
Step-by-step conversion:
1. (B + C) becomes BC+
2. Multiply A with BC+, then divide D by E
and subtract.
The postfix expression is: ABC+*DE/-
67. Convert the postfix expression ABC+*DE/- to infix expression.
Answer:
Step-by-step conversion:
1. BC+ becomes (B + C)
2. Multiply A with (B + C), then subtract
(D / E).
The infix expression is: (A * (B + C)) - (D / E)
68. Convert the infix expression A / B + (C * D) - E to postfix expression.
Answer:
Step-by-step conversion:
1. A / B becomes AB/
2. C * D becomes CD*
3. Add AB/ and
CD*, then subtract E.
The postfix expression is: AB/CD*+E-