6. (10 pts) Write down the truth table for the following 2-bit binary to seven segment decoder. The decoder has a 2-bit input x - xixo to represent the decimal values 0,1,2,3, respectively. The corresponding outputs are 'A', 'b' d'. Write down the simplified Boolean expressions (SOP form) for sa, sb, sc, sd, se, sf, and sg to imple ment the code conversion