I just weighed my gear, sort of.
rod 2.2 oz - 4wt 8 foot two piece sage graphite w cork handle.
reel with full floating line backing and tippets 5.75 oz
If I was generous with flies in a small plastic case with some miniature pliers and a small mostly empty bottle of float-ant I'd be at around one pound.
If you need a rod case thats another thing - my metal case for the 4 foot rod sections weighs 1.5 pounds, but you can back over it, use it as a wading staff, hang a deer with its legs spread, use it as a snow anchor, staub a pirrou, bean gaters, use it as a tent pole, fire pusher, food hanger, etc.
Jim