finding the index of first zero entry in a binary string:Input: binary string ($0$'s and $1$'s)Output: index of first zero entryCan you give a circuit for finding the index of first zero entry in a binary string with minimum depth and polynomial many processors? 1) Is this problem in $AC_0$?2) Is this problem in $NC_1$?Can point me at references?  
circuit for finding the index of first zero entry in a binary string
circuits;digital circuits;sequential circuit