GATE | GATE-CS-2006 | Question 40

Consider numbers represented in 4-bit gray code. Let h3h2h1h0 be the gray code representation of a number n and let g3g2g1g0 be the gray code of (n + 1) (modulo 16) value of the number. Which one of the following functions is correct? A: [Tex]g_{0}(h_{3},h_{2},h_{1},h_{0})=\\sum (1,2,3,6,10,13,14,15)[/Tex] B: [Tex]g_{1}(h_{3},h_{2},h_{1},h_{0})=\\sum (4,9,10,11,12,13,14,15)[/Tex] C: [Tex]g_{2}(h_{3},h_{2},h_{1},h_{0})=\\sum (2,4,5,6,7,12,13,15)[/Tex] D: [Tex]g_{3}(h_{3},h_{2},h_{1},h_{0})=\\sum (0,1,6,7,10,11,12,13)[/Tex]

(A)

(B)

(C)

(D)