Simple method to make ternary full adder

My fresh invention is ternary full adder design. First of it’s kind in the World. Very much all search result from Internet are wrong and doesn’t work. This is first known design which truth table is right. And design uses simple MOSFET transistors. Not any nano carbon tube or other weird futuristic materials seen on Internet search result.

Ternary half adder truth table

SUM  A B C | S C
0+0  0 0 0   0 0
0+1  0 1 0   1 0
0+2  0 2 0   2 0
1+0  1 0 0   1 0
1+1  1 1 0   2 0
1+2  1 2 0   0 1
2+0  2 0 0   2 0
2+1  2 1 0   0 1
2+2  2 2 0   1 1

New method

Ternary full adder is possible to construct from one half adder. If carry-in is 1 then invert inputs and outputs. Result is rest of the full adder truth table below. This is tested with simulation software and it’s works!

SUM  A B C | S C
0+1  0 0 1   1 0
1+1  0 1 1   2 0
2+1  0 2 1   0 1
1+1  1 0 1   2 0
2+1  1 1 1   0 1
3+1  1 2 1   1 1
2+1  2 0 1   0 1
3+1  2 1 1   1 1
4+1  2 2 1   2 1

There is no need for C=2 condition because it’s not newer two.