This paper presents the modification of Linear Back Projection (LBP) algorithm for the FPGA implementation purposed. Image reconstruction process is a vital process in tomography system. In order to implement the reconstruction process on FPGA, a slight modification is needed which is digitalize all the floating number of all sensitivity maps matrix data that used in image reconstructed process. As the result of this work, we proposed a new digitalize algorithm that call Digital Linear Back Projection (DLBP) algorithm. The performance of the DLBP compare to original LBP by using MSSIM are 0.9999, 0.9998, 0,9997 and 0.9966 for phantom a, b, c and d respectively.