During an internship in 1986 I wrote C code for a machine with 10-bit bytes, the BBN C/70. It was a horrible experience, and the existence of the machine in the first place was due to a cosmic accident of the negative kind.
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I don't think there is a C++ compiler for the PDP-10. One of the C compiler does have a 36-bit char type.
Basically, loading a 0-bit byte from memory gets you a 0. Depositing a 0-bit byte will not alter memory, but may do an ineffective read-modify-write cycle. Incrementing a 0-bit byte pointer will leave it unchanged.