Prove or disprove formally

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Question:

Prove or disprove formally:

(a) The largest even prime number is 2.

(b) The number of leaf nodes (nodes with no children) in a perfect binary tree of height h is no more than 2h.

(c) The total number of nodes in a binary tree of height h is less than 2h+1

(d) The number of 1s in the binary representation of any positive number N is less than ?log2N?.

(e) The height of any binary tree containing N nodes is less than N.

(f) The number of internal nodes in a complete binary tree of N nodes is ?N/2?.

Answer this question and show each and every step with example. 

Reference no: EM13694914

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