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Sigma DG lenses and focal length


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I'm sure this has been asked 1000 times but i was wondering if someone could

clarify it for me.

 

Is it correct that regardless of DG, DC or EF-S that these lenses being used

with a 400D or any other DSLR sensor that is not full frame there will be a

multiplication factor on the focal length?

 

So say 24-70mm on a 400D @ 1.6x will be equivilent to 38.4-112mm on 35mm?

 

Thank for any replies.

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