Well Goku dies since the battle take place in space near earth where Goku can't breath XD lol jk Although I think wins, Binary actually busted a planet too, now I know Goku can do that easily too but she also has energy absorption leaving Goku with limited options in this fight. He is here absorbing energy and busting a planet:
Binary is capable of absorbing several types of energy including magic, so I see no reason ki would be any different. Keep in mind she flew through White Holes and was at one point above Silver surfer too I believe. But I think if Goku can use IT and keep close he can win, but she had some other impressive feats too, but she hasn't done much lately.