2. (12 points) Consider a 2-dimensional sequence in base 2, {zi}=0, where 21 = (13) 1 1 2' 2 22 = 3 1 4'4. 2 = a Consider a shift A = (1/4, 2/5). a) Suppose the sequence is a rank-1 lattice sequence, compute {zi+A}}-o, where a+b denotes a + b mod 1. b) Suppose the sequence is a digital net sequence, compute {zi @ A}}-o, where denotes base 2 digitwise addition. Your answers should be written as fractions in base 10, not just base 2 expressions. i=0; 2. (12 points) Consider a 2-dimensional sequence in base 2, {zi}=0, where 21 = (13) 1 1 2' 2 22 = 3 1 4'4. 2 = a Consider a shift A = (1/4, 2/5). a) Suppose the sequence is a rank-1 lattice sequence, compute {zi+A}}-o, where a+b denotes a + b mod 1. b) Suppose the sequence is a digital net sequence, compute {zi @ A}}-o, where denotes base 2 digitwise addition. Your answers should be written as fractions in base 10, not just base 2 expressions. i=0