Either transferred use of the surname Bing or from a nickname, as was the case for American singer and actor Bing Crosby (1903-1977), who was originally called Bingo.
Derived from the Chinese characters 丙 (bǐng) meaning "third" or 冰 (bīng) meaning "ice" or 兵 (bīng) meaning "army, soldier".Other characters are also possible.