Question

Digital Logic - Can someone help me with creating a binary tree? Digital Logic - Can someone help me with creating a binary tree? @Mathematics

Answer 1

Use structural induction to show that `(T), the number of leaves of a
complete binary tree T, satises the following inequality
l(T) <=2^h(T):

Answer 2

Here's the entire question

Answer 3

You have to understand that a binary tree is a tree whose nodes have at most two children.

Answer 4

It's easy to see that the number of leaves for a tree of height h will be at most 2^h.

Answer 5

If you do a little math, you will also see that a tree of height h will have at least 2^(h-1) leaves.

Answer 6

? Sorry I don't see how it's 2^h?

Answer 7

I get that each node can have two branches max