Bit-wise unequal error protection for variable length blockcodes with feedback

Bit-wise unequal error protection problem with two layers is considered for variable length block-codes with feedback. Inner and outer bounds are derived for achievable performance for finite expected decoding time. These bounds completely characterize the error exponent of the special bits as a function of overall rate R, overall error exponent E and the rate of the special bits R
_s
. Single message Message-wise unequal protection problem is also solved as a step on the way.