A Very Important Fraction

The gemara says that a Talmid Chochom should have  שמינית שבשמינית - an 8th of an 8th gyveh [pride]. Why an 8th of an 8th??

The Chasam Sofer zugt: This is an allusion to the 8th mitzva of Bris Milah which follows after the 7 mitzvos of Noach and is done on the 8th day. The pride a Talmid Chochom should feel is when he is careful about his Bris Milah. He watches what he thinks, what he sees, what he feels and certainly he is careful with whom he comes into physical contact.

He is vigilant regarding the 8th of the 8th. Truly something about which to feel proud.