The request
“Create a binary expression tree for (a × b) + (c − (d ÷ (e + f))), with + as the root, × on the left and − on the right.”
Then tryChange the right expression to c ÷ d.Add parentheses around the full expression in the title.
What is in this drawing
Read the decisions behind it.
01Operator root
Put the outermost addition at the root.
02Binary operands
Give every operator a left and right child.
03Precedence
Group multiplication and subtraction before addition.
Use this tree to explain parsing and expression evaluation.
More like this
Other examples in this family.
FAQ
Common questions
What are the leaves in an expression tree?
Leaves are operands such as numbers, variables or constants.
Why use a binary tree for an expression?
Binary operators naturally have a left operand and a right operand.
How is the root chosen?
It is the outermost operation, performed after its two subexpressions.