Noel –
Yes: most digital calipers and micrometers offer readings in both inches and mm, selected by a button; and some (not all) also give fractional-inch readings.
I have one of those Tracy Tools poster-sized conversion-charts in my workshop, hanging from a dress-hanger so I can turn it easily to read the tapping-drill charts on its reverse.
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The problem I have is not Imperial / Metric as such. It's with these blasted centimetres insisted on by the schools, rag-trade and natural-history radio programmes!
I know the cm is slightly more anthropocentric hence perhaps more comprehensible for everyday use like shopping, than those tiddly little millimetres; but I am used to both Imperial and proper metric units, at work and in my hobbies, so find it rather hard to grasp.
Usually I convert them to mm, knowing 200 of those is about 8" and a 19mm A/F spanner fits a 3/4" A/F nut.
The use of Inches and two-s scale fractions thereof in model-engineering is convenient for scaling from prototype, but does lead to awkward things like 17/64".
There are good and points in all measurements system, which are all artificial anyway; but if we are to work to metric units then yes, we should use sensible conversions, not always the arithmetical ones; and with due consideration of the consequences.
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I don't know that 256 factor. .That is new to me. I use 1 inch = 25.4mm then round if and as necessary; but let's think about that 17/64" fraction I gave, quite randomly.
17/64" = 0.265" = 6.75mm: so 6.5mm or 7mm.
Not much difference there, no; insignificant on many components. However even that tiny change like might have a significant effect on something like a wall thickness, the overall sizes of available ball-bearings, or the meshing of gears (or choice between imperial and metric gears).
Straight conversion and rounding might not always be as simple as first appears.
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Incidentally, the BA system is not "pseudo-metric" as Noel says, but is metric though inch-described; with its full range by geometrical progression. Whilst not matching completely and none interchangeably, some of the common BA sizes do have M-series equivalents close enough for direct replacement without major re-designing. The accepted tapping-drill diameters for BA threads are quoted in mm to 0.1mm steps too, so are easily obtainable.