[Doctor Stochastic]

...I continue to assert the Champernowne binary constant cannot be successfully concatenated to a readable character representation of Shakespeare.

Then you haven't understood the proof behind Champernowne's number.

Any finite segment of Chaitin's Omega is in the sequence.

[Alamo-Girl]

Thank you for your post!

Any finite segment of Chaitin's Omega is in the sequence.

A finite segment of a few digits, sure. A finite segment of 1,000 digits, not likely. The entire Omega, no.

Likewise, a word or phrase out of Shakespeare, sure. An entire act, not likely. The entire manuscript, no.

The bottom line to me is that Champernowne’s binary constant produces in such a distinctive pattern, it cannot overcome, by 8 bit alphanumeric ASCII concatenation, unreadable characters.