Construct a code for the characters A, B, C, and D using bit patterns of length five so that the Hamming distance between any two patterns is at least three.

COMBINATIONAL LOGIC CIRCUITS AB 00 01 11 10 0011 111|1 01 | 11 AB0001 11 10 001 111|1 0101 6 1 B B 12 11 11 10 D (a) Original function F and cover F CD AB0001 11. 10 00 11a D (b) After EXPAND CD AB0001 11, 10 001 a 01 01 ald d d B B 12 121 11 11 A 10 10 D D (c) After ESSENTIAL AB0001 11 10 00 d 11d (d) After IRREDUNDANT_COVER CD C 01 11 10 00 d AB 00 1 d 01 d d d d 01 d B B 12 151 15 11 11 10 101 dla D (1) After EXPAND D (e) After REDUCE AB 00 01 11 10 001 111 01DT 11 11 A 101 1 B 12 13 D (2) After IRREDUNDANT_COVER, LAST_GASP, and QUIT COMBINATIONAL LOGIC CIRCUITS AB 00 01 11 10 0011 111|1 01 | 11 AB0001 11 10 001 111|1 0101 6 1 B B 12 11 11 10 D (a) Original function F and cover F CD AB0001 11. 10 00 11a D (b) After EXPAND CD AB0001 11, 10 001 a 01 01 ald d d B B 12 121 11 11 A 10 10 D D (c) After ESSENTIAL AB0001 11 10 00 d 11d (d) After IRREDUNDANT_COVER CD C 01 11 10 00 d AB 00 1 d 01 d d d d 01 d B B 12 151 15 11 11 10 101 dla D (1) After EXPAND D (e) After REDUCE AB 00 01 11 10 001 111 01DT 11 11 A 101 1 B 12 13 D (2) After IRREDUNDANT_COVER, LAST_GASP, and QUIT