I use a monocular instead of binoculars--less than half the weight! However, for longer trips I use the zoom lens on my camera, which is close to the same power (6x; the monocular is 7x). I discovered that when I forgot to bring the monocular on a birding expedition!
Anyway, Bunny, this gives you two possible substitutes for the heavier binoculars.
Have you discovered the articles on the home page of this site
, left hand column? The 7-day list shown gives you some possible guidelines for gear weight. I used that one for a model when I started lightening up my gear 7 years ago. I've now gotten three pounds lighter than the total on the list, but the last two pounds may not have been worth the considerable $$$ involved. There are lots of excellent articles there about lightening up and gear selection. I agree that Mark Verber's site is downright encyclopedic; it's another source I always recommend.
Once you've tweaked your list, I suggest you post it here--with weights--so we can make recommendations for specific items, see what's missing, etc.