you know that N=nM where N is normality, M is molarity and n is a factor depending on the reaction.
In an acid-base reaction n for an acid is the number of moles of Hydrogen ions it produces per mole and for a base the number of moles of hydrogen ions it uses per mole.
HCl we have n=1 because they use and produce (respectively) only one mole of hydrogen ion per mole.
so the molarity and normality are the same.
