Were children hanged back in the old days? What kind of crime did they commit to be executed?

In eighth century England children over 10 to 12 (depending on kingdom) were seen as responsible in law and could, and were hung..

The above answers are absolutely correct, but how many know that in the Old Testament, Deut. 21:18-21 state the following about rebellious children: If a man have a stubborn and rebellious son, which will not obey the voice of his father, or the voice of his mother, and that, when they have chastened him, will not hearken unto them:

19 Then shall his father and his mother lay hold on him, and bring him out unto the elders of his city, and unto the gate of his place;

20 And they shall say unto the elders of his city, This our son is stubborn and rebellious, he will not obey our voice; he is a glutton, and a drunkard.

21 And all the men of his city shall stone him with stones, that he die: so shalt thou put evil away from among you; and all Israel shall hear, and fear.

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A crime committed by a child was still a crime, punishable by the same means as adults were punished. An adult crime, like treaon, punishable by hanging, was also a "short drop with a quick stop " for a child.

Even the smallest crime could earn you prison time.

It was not uncommon for a child to be hanged for something as minor as stealing bread.

Yes.

They could be hanged for stealing. Even something as small as a handkerchief.

(Basically, anything that anyone could be hanged for they would also hang children for.)

They were illegal immigrants. ( I am not joking ) . Chinese children were killed in riots in California back in the XIX century