only solve the disscuission on page 3 , logic design
Objectives: To learn how to convert from a certain (given) flip flop to any other desired (required ) flip-flop. introduction after studying the four flip-flops, you have to memorize the characteristic and excitation tables for all main flip-flops , remember that we use the characteristic table for the analysis of the sequential circuits, and the excitation tables for the design of the sequential circuits. the following table represents the excitation tables for all flip-flops : Present Next SR flip flop flip flop JK fliptop T flip-flop State State inputs input inputs input Q SR J K Q 0 x 0 0 1 0 1 + 1 1 0 0 1 1 1 0 x 0 0 after studying the four flip-flops, namely SR flip-flop. D flip-flop, JK flip- flop & T flip-flop. We can convert one flip-flop into the remaining three flip-flops by including some additional logic. So, there will be total of twelve flip-flop conversions. To convert any flip flop to one of the other flip-flops use of the following steps: 1. Consider write) the characteristic table of desired(required) flip-flop. 2. Consider(write the excitation table of the given flip-flop 3- Put the outputs of the excitation table (in step 2) as outputs on the most right side of the characteristic table in step!) to get a new conversion table. 4- derive the new outputs in step 3 , according to the values of the present and next outputs in the characteristic of the desired flip-flop 5- derive the new expressions of the new outputs in step 4, and draw the new desired flip-flop. During the lab: Example.1 "Conversion of JK Flip Flop to D Flip Flop 1- write the excitation of JK Q(t) Q(t+1) K 0 0 O 0 1 1 x 1 0 * 1 . 1 1 X 0 2- write the characteristic table of D flip-flop (clk =1) Q(t) D Q(t+1) 0 0 0 0 1 1 1 0 0 1 1 1 3- write the conversion table Q(t) D Q(t-1) 0 0 0 0 1 . 0 1 K 0 1 1 1 * 1 0 1 0 0 * 1 1 1 1 1 0 4- derive the equations of J.K in the conversion table : J=D.K=D' 5- draw the new design: CLK 0 | Report and assignment: Discussion: 1- use the same procedure above to convert the S-R flip-flop to : 2- JK Flip flop -T Flip flop C-D- Flip flop