Question

aflati baza de numerati x daca 105(x)=110110(2)​

Answer 1

$1\cdot x^2+0\cdot x^1+5\cdot x^0 = 1\cdot 2^5+1\cdot 2^4+0\cdot 2^3+1\cdot 2^2+1\cdot 2^1+0\cdot 2^0\\ \\ \Leftrightarrow\,x^2+5 = 54\\ \\ \Leftrightarrow\,x^2 = 49\\ \\ \Rightarrow\,\boxed{x = 7}\\ \\ \\ 105_{(7)} = 110110_{(2)}$