closing parenthesis tells us we can go ahead and do the addition we find that + is and when we know thiswe can evaluate * to obtain reaching the end of the expression is an anticlimax because there' nothing left to evaluate this process is shown in figure read the read the read the read the read the read the recall the discard the read the end evaluate discard + the recall the recall the recall the recall the end evaluate recall * the recall the end end recall the figure details of evaluating *( + as we've seenin evaluating an infix arithmetic expressionyou go both forward and backward through the expression you go forward (left to rightreading operands and operators when you have enough information to apply an operatoryou go backwardrecalling two operands and an operator and carrying out the arithmetic sometimes you must defer applying operators if they're followed by higher precedence operators or by parentheses when this happensyou must apply the laterhigher-precedenceoperator firstthen go backward (to the leftand apply earlier operators we could write an algorithm to carry out this kind of evaluation directly howeveras we notedit' actually easier to translate into postfix notation first