Q.The following postfix expression with single- digit operands is evaluated using a stack: 823^/23*+51*- (Note that ^ is the exponentiation operator.) The top two elements of the stack after the first * is evaluated, are
Correct answer: 6, 1
Explanation
Given postfix expression- 823^/23* + 51 * – To evaluate the given postfix expression step by step using a stack. Push 8, Stack : [8] Push 2, Stack : [8, 2] Push 3, Stack : [8, 2, 3] Operator ^ (exponentiation) compute 23 = 8, Stack: [8, 8] Operator/ (Division), compute 8/8 = 1, Stack : [1] Push 2, Stack : [1, 2] Push 3, Stack : [1, 2, 3] Operator * (Multiplication) compute 2× 3 = 6, Stack : [1, 6] At this point, the first * is evaluated. The top two elements are 6, 1.
Given postfix expression- 823^/23* + 51 * – To evaluate the given postfix expression step by step using a stack. Push 8, Stack : [8] Push 2, Stack : [8, 2] Push 3, Stack : [8, 2, 3] Operator ^ (exponentiation) compute 23 = 8, Stack: [8, 8] Operator/ (Division), compute 8/8 = 1, Stack : [1] Push 2, Stack : [1, 2] Push 3, Stack : [1, 2, 3] Operator * (Multiplication) compute 2× 3 = 6, Stack : [1, 6] At this point, the first * is evaluated. The top two elements are 6, 1.