Homework Answers
a)
256 leaf nodes means the tree has total of 511 nodes
Tree with height has 2^(h+1)-1 nodes
height 0 has 1 node
height 1 has 3 nodes
.
.
.
height 7 has 2^8 - 1 = 255 nodes
So, the height here is 8
b)
Out of these 128 nodes are in last but one level
So far 255 nodes are there
In the last level we have 256 nodes which means all 128 nodes have
2 children each.
So, There is total of 511 nodes
511-256-1 = 254
Number of internal nodes are 254
--------------
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