(a) In a certain A/D scheme, there are 16 quantization levels. Give one possible binary code and one possible quaternary (4-ary) code. For the quaternary code, use 0, 1, 2, and 3 as the four symbols....

(a) In a certain A/D scheme, there are 16 quantization levels. Give one possible binary code and one possible quaternary (4-ary) code. For the quaternary code, use 0, 1, 2, and 3 as the four symbols. Use the minimum number of digits in your code.

(b) To represent a given number of quantization levels L, if we require a minimum of BM digits for an M-ary code, show that the ratio of the number of digits in a binary code to the number of digits in a quaternary (4-ary) code is 2, that is, B₂/B₄
= 2.