Muhammad and certain Jewish Prisoners of War

Arguing that a Jewish tribe called the Banu Qurayza had violated a treaty with the Muslims, Muhammad had several hundred Jewish prisoner-of-war executed, as we read in the following Sahih Bukhari hadith:  "Narrated Abu Said Al-Khudri: The people of (Banu) Quraiza agreed to accept the verdict of Sad bin Muadh. So the Prophet sent for Saad, and the latter came (riding) a donkey and when he approached the Mosque, the Prophet said to the Ansar, 'Get up for your chief or for the best among you.' Then the Prophet said (to Sad).' These have agreed to accept your verdict.' Sad said, 'Kill their (men) warriors and take their offspring as captives, ' On that the Prophet said, 'You have judged according to Allah's Judgment.'
Recalling that not even Hitler chose to have nonescaping prisoners-of-war executed, our Debate Question is then;  "Was the execution of these Jewish prisoners-of-war proper and moral?"