Now I see said the blind man.
You would need a Dolby Digital encoder that would accept the analog inputs and process them to a digital output. Not a consumer item. The only one I could find online is no longer made Dolby labs on Ebay for $160 but it takes digital inputs not analog so you would need 3 ADCs to convert the Sony outputs, Overall it would cost more than it's probably worth to you.
If you had a AV receiver, some of which have 5.1 analog inputs, you could use the Sony but not with the Bose.