Binary Representation
Posted: Wed Apr 05, 2017 1:37 pm
Let for any positive integer $n$,$B(n)$ be the number of 1's in it's binary representation.Prove that $$B(nm) \geq \max{B(n),B(m)}$$ ,where $n,m \in N$ .
The Official Online Forum of BdMO
https://matholympiad.org.bd/forum/