Preheat your oven to 350 degrees F. Spray three 8-inch or four 6-inch round cake pans with non-stick spray and then line with parchment. Spray again.
Place the graham crackers in a food processor or blender and pulse until the cookies are finely ground and resemble flour.
In a medium-size bowl, combine the graham cracker crumbs, flour, baking powder, baking soda, cinnamon and salt. Whisk until the ingredients are well-blended. Set aside.
In the bowl of a stand mixer fitted the paddle attachment, beat the butter and sugar on medium speed until light and fluffy. Add the eggs, one at a time, beating well after each addition and making sure to scrape down the sides of the bowl between each addition.
With the mixer on low speed, add 1/3 of the dry ingredients and mix until combined. Slowly add half of the buttermilk and mix until incorporated. Continue alternating the flour and buttermilk until it has all been incorporated. Scrape down the sides of the bowl and slowly mix for another 20-30 seconds.
Divide the batter evenly among your pans and bake for about 25 to 30 minutes, or until a toothpick inserted in the center comes out with a few moist crumbs on it. Cool 10 minutes on a wire rack before inverting onto cooling racks to cool completely.