题目详情

算术表达式采用后缀式表示时不需要使用括号,使用( )就可以方便地进行求值。a-b*(c+d)的后缀式为(请作答此空)。

  • A.a b c d- * +
  • B.abcd* + -
  • C.ab-c*d +
  • D.abcd + *-

正确答案及解析

正确答案
D
解析

计算机在处理算术表达式时,首先将其转换为后缀表达式。例如,表达式“46+5*(120-37)”的后缀表达式形式为 “46512037-*+”。计算后缀表达式时,从左至右扫描后缀表达式:若遇到运算对象,则压入栈中,若遇到运算符,则从栈中弹出相关运算对象进行计算,并将运算结果压入栈中,重复以上过程,直到后缀表达式扫描结束。表达式“a-b*(b+d)”的后缀表达式形式为“abcd + * -。

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