I'm trying to compute the following expression: $10101011 \cdot 1025$ in a simple, easy way without using a calculator, or an elementary school way. I realized that $1025=2^{10}+1$ so I need to compute now $10101011 \cdot 2^{10}+10101011$, How should I proceed?
Computing $10101011 \cdot 1025$
1
$\begingroup$
arithmetic
1 Answers
8
Forget binary and use base $10$ !
$10101011\cdot 1000= 10101011000$ $10101011\cdot 25=10101011\cdot 100 / 4=505050550/2=252525275$
Add...