(a) Upon receipt, not later than the thirtieth day next preceding any primary or election, of a signed removal notice properly filled out, or signed request containing the required information and setting forth a removal of residence to another location in the territory, the board shall cause the signature thereon to be compared with the signature on the registration card of the elector from whom the removal notice purports to come, and, if the signature shall appear authentic, shall enter the change of residence in the general and district registers, and, if the removal shall have been from one polling district to another in the same election district, shall transfer the registration card of the elector from the district register of the polling district of his previous residence, to the district register of the polling district of his new residence, and if the removal shall have been from one election district to another, shall remove the registration cards of the elector from the general and district registers and transmit them to the board of the election district in which the elector resides for insertion in the general register and appropriate district register of that district.
(b) Every elector who is recorded as having voted at a primary election shall be entitled to vote at the succeeding general election at the same polling place (or within the same polling district if such polling place shall have been changed between the time of the primary and the election) where he voted in such primary, notwithstanding any other provision of this Code; provided, however, that an elector may voluntarily transfer his registration pursuant to the provisions of this section.