The objective of Video/image compression is to reduce irrelevance and redundancy of the Video/image data in order to be able to store or transmit data in an efficient form. Video/image compression may be lossy or lossless. Lossless compression is preferred for archival purposes and often for medical imaging, technical drawings, clip art, or comics. Lossy compression methods, especially when used at low bit rates, introduce compression artifacts. Lossy methods are especially suitable for natural Video/images such as photographs in applications where minor (sometimes imperceptible) loss of fidelity is acceptable to achieve a substantial reduction in bit rate. The lossy compression that produces imperceptible differences may be called visually lossless. A fast algorithm for discrete cosine transforms (DCT)-domain Video/image resizing is presented. To reduce computations, fast Wino grad DCTs are applied to a recently reported Video/image resizing scheme that uses DCT low-pass truncated approximation. Our fast algorithm yields significant improvement in computational complexity over the fast algorithm of the reported method. We proposed modified carry look-ahead adder based fixed point DCT architecture. To optimize the adder operator delay time and this architecture consumes less circuit complexity and high speed performance and also satisfy the Video/image compression process. In this phase-2 work, we introduce a novel 8-point DCT approximation that requires only 14 addition operations and no multiplications. The proposed DCT approximation that possesses an extremely low arithmetic complexity, requiring only 14 additions. This novel transform was obtained by means of solving a tailored optimization problem aiming at minimizing the transform computational time.