Tire size conversion from 700 x 23c
You're asking a question that cannot be answered.  Sorry - the plethora of tyre size measuring systems means there is no good answer. 

Diameter could be 29 inches, it could be 28 inches, it could even be 27 inches.  But the bead seat IS 622 millimetres without exception.

The width likewise varies - there are fractional inch measurements that do not line up with the decimal inch of the same size - IE 1 1/2 inches is not the same width of tyre as 1.5 inches.  But 23mm is 23mm without exception.

This is why the ETRTO measurement system is simply superior to all that went before.  Not that its based on metric, but ETRTO is consistent and accurate.

A "700c" tyre in a width of 23 is a ETRTO measurement of 622-23, which is sometimes written as 23-622.

You might glean some more information from How do I know what size tyres can I fit on my rims? and from How do I determine my wheel size 

Or consider asking about what you're trying to achieve - this sounds like an XY problem.