#1,175 – An Example of an Expression Tree

You can assign a lambda expression to an instance of an expression tree so that you then have the corresponding expression represented as a data structure.  Below is an example of how an expression is represented in an expression tree.

Suppose that we have the expression for converting Fahrenheit to Celsius, as:


We create an expression tree by decomposing the expression into a left side, operator and right side.  We then further decompose for any sub-expression that can be decomposed.  The resulting tree looks as follows:


We can interpret the expression tree as follows:

  • Main expression: (f – 32) * 5 / 9
    • Left: (f – 32) * 5
      • Left: (f – 32)
        • Left: f
        • Operator: –
        • Right: 32
      • Operator: *
      • Right: 5
    • Operator: /
    • Right: 9



About Sean
Software developer in the Twin Cities area, passionate about .NET technologies. Equally passionate about my own personal projects related to family history and preservation of family stories and photos.

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