Question

Convert the following arithmetic expressions from reverse Polish notation (RPN) to infix notation :

1. A B C * + D / E F + *
2. A B C D E F G + * + * + *

Answer 1

A)infix notation:

(A+B*C)/D* (E+F)

Because

Авск + р/ EF 4 x Reading Expression Stack СВх с) В C + Сря в хо)

b ans:

(A + B + c) / ICA+B+C)/01 CATB+C) / 1 F F F ICA+B+C) / 1 + E + F Eff (A+B+C) 10 * (A+B+C) 10* (Et F) so infixi CA+B+C)/ox(E+F)

Infix:A*(B+C*(D+E*(F+G)))

Because

& & & & F G & A B C D staus reading Expression B o E

Oo oo + (fta)

& & & Ceta) sx FtG o loco & Cotex (FAG)) DSCF & cx (0 + E + CHG7) + (B+C LD + E + (F26))) [(B + C + (0+ EX (FAG)

Cote & C F * G7] so intit and ) A (B+C * (Dt & X CFAG)

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