Question

A reverse polish notation (RPN) calculator uses a stack. The calculator works as follows: Entering a number puts it on top of the stack and entering an operation op causes the topmost number \(x\) and second topmost number \(y\) to be popped off the stack and the number \(y\) op \(x\) to be pushed on the stack. Thus an operation copy is entered as xyop. For example \(1 + 2\) is computed with \(\"1\ 2 +\"\) and \((2 * 3) - 4\) is computed with \(\"2\ 3 * 4 -\"\). How do you calculate the following expressions with a RPN calculator ? a) \(1 + 3 + 5 - 7\) d) \((3 + 4) * (20 - (3 * 4 + 2))\) b) \((6 - 3) * 2 + 1\) e) \(5 * (3 + 4) - (2 * (2 + 2 * (1 + 2)))\) c) \(3 * (2 + 4 * 3)\)

          A reverse polish notation (RPN) calculator uses a stack. The calculator works as follows: Entering a number puts it on top of the stack and entering an operation op causes the topmost number \(x\) and second topmost number \(y\) to be popped off the stack and the number \(y\) op \(x\) to be pushed on the stack. Thus an operation copy is entered as xyop. For example \(1 + 2\) is computed with \(\"1\ 2 +\"\) and \((2 * 3) - 4\) is computed with \(\"2\ 3 * 4 -\"\). How do you calculate the following expressions with a RPN calculator ?
a) \(1 + 3 + 5 - 7\)
d) \((3 + 4) * (20 - (3 * 4 + 2))\)
b) \((6 - 3) * 2 + 1\)
e) \(5 * (3 + 4) - (2 * (2 + 2 * (1 + 2)))\)
c) \(3 * (2 + 4 * 3)\)

A reverse polish notation (RPN) calculator uses a stack. The calculator works as follows: Entering a number puts it on top of the stack and entering an operation op causes the topmost number x and second topmost number y to be popped off the stack and the number y op x to be pushed on the stack. Thus an operation copy is entered as xyop. For example 1 + 2 is computed with 1̈ 2 + and (2 * 3) - 4 is computed with 2̈ 3 * 4 -. How do you calculate the following expressions with a RPN calculator ?
a) 1 + 3 + 5 - 7
d) (3 + 4) * (20 - (3 * 4 + 2))
b) (6 - 3) * 2 + 1
e) 5 * (3 + 4) - (2 * (2 + 2 * (1 + 2)))
c) 3 * (2 + 4 * 3)

Added by Angela A.

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