Operations if implemented in a straightforward manner as sequential circuits with. AND the multiplier bit with the entire multiplicand, add the result to the. The new bit-serial and bit-parallel architectures proposed have the same throughput and latency but smaller hardware cost and shorter critical path delay than the best comparable architectures.
In this paper, we reformulated the conventional iterative division algorithm by substituting the pre-defined variable and then updating its initial value accordingly. The reformulated division algorithm allows a restructuring of the divider architecture to further improve its operating speed without increasing latency and area cost.
Using the proposed fast algorithm, we developed a high-speed bit-serial GF(2 m) divider. Analytical results show that the cost of the initial value update and variable transformation in the reformulated algorithm is almost negligible in the hardware implementation. Our divider reduces the critical path delay. Compared with related divider designs, the proposed design has time and area advantages. Abstract = 'In this paper, we reformulated the conventional iterative division algorithm by substituting the pre-defined variable and then updating its initial value accordingly. The reformulated division algorithm allows a restructuring of the divider architecture to further improve its operating speed without increasing latency and area cost. Using the proposed fast algorithm, we developed a high-speed bit-serial GF(2m) divider.
Analytical results show that the cost of the initial value update and variable transformation in the reformulated algorithm is almost negligible in the hardware implementation. Our divider reduces the critical path delay.
Compared with related divider designs, the proposed design has time and area advantages.' TY - GEN T1 - Design of high-speed bit-serial divider in GF(2m) AU - Lin, Wen Ching AU - Shieh, Ming-Der AU - Wu, Chien Ming PY - 2010 Y1 - 2010 N2 - In this paper, we reformulated the conventional iterative division algorithm by substituting the pre-defined variable and then updating its initial value accordingly. The reformulated division algorithm allows a restructuring of the divider architecture to further improve its operating speed without increasing latency and area cost.
Using the proposed fast algorithm, we developed a high-speed bit-serial GF(2m) divider. Analytical results show that the cost of the initial value update and variable transformation in the reformulated algorithm is almost negligible in the hardware implementation. Our divider reduces the critical path delay. Compared with related divider designs, the proposed design has time and area advantages. AB - In this paper, we reformulated the conventional iterative division algorithm by substituting the pre-defined variable and then updating its initial value accordingly. The reformulated division algorithm allows a restructuring of the divider architecture to further improve its operating speed without increasing latency and area cost. Using the proposed fast algorithm, we developed a high-speed bit-serial GF(2m) divider.
Analytical results show that the cost of the initial value update and variable transformation in the reformulated algorithm is almost negligible in the hardware implementation. Our divider reduces the critical path delay. Compared with related divider designs, the proposed design has time and area advantages. UR - UR - U2 - 10.1109/ISCAS.20 DO - 10.1109/ISCAS.20 M3 - Conference contribution SN - 085 SP - 713 EP - 716 BT - ISCAS 2010 - 2010 IEEE International Symposium on Circuits and Systems ER.
It can be easily solved using its truth table and K-map. As far as I understand the question only asks for the quotient.So in order to write the truth table you need only two output variables.This is because the maximum number that can be represented using 4 bits is 15 (1111), which when divided by 5 yields quotient 3 (0011).
Here is the truth table required. A3 to A0 represent the input in binary.F1 and F0 represents the output in binary. This table is easily obtained since numbers 0 to 4 upon division with 5 gives 0 quotient.
5 to 9 yields 1. 10 to 14 yields 2 and so on. Now you can draw K-maps for F1 and F0. If you need you can form expression for remainder also in a similar manner.Just remember that,in that case you require 3 output bits, as maximum remainder upon division by 5 is 4 (100).