Question

Show that (1 0 base two)^4 =(1 0 0 base two)^2​

Answer 1

10 base 2 converts to 2 base 10. We have this interesting symmetry going on.

100 base 2 converts to 4 base 10.

2^4 = 16

4^2 = 16

This means 2^4 = 4^2 turns into 16 = 16 which is true

This means the equation (10 base 2)^4 = (100 base 2)^2 is also true