$1-$ Discuss the relationship between the angular resolution and the number of bits. Compute the

resolution of $4-$bits gray coded disk.

$2-$ What would be the number of bits to provide a resolution of $\frac{}{512}.$

$3-$ Write the truth table of the gray code with $4$ bits.

$4-$ Deduce the truth table of the gray code decoder $($Gray bits as inputs and ordinary binary code

as outputs$).$

$5-$ Deduce the logic functions:

$,b0(g3,g2,g1,g0),b1(g3,g2,g1,g0),b2(g3,g2,g1,g0),b3(g3,g2,g1,g0).$

$6-$ Using K$-$map, simplify the functions b$0,...,$ b$3.$

$7-$ Realize the gray code decoder in EWB.