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Step 12 8.081E Consider the truth table for the input and output sequence sequence detector Table 1 X0001111111 Y0000100110 Draw state 0/0 1/0 0/0 1/1 1/0 0/0 Figure Step state assignment table the sequential Table 2 Present state Next state Output B,=0 X 00 00 0 0 01 01 10 0 - 10 00 C1 0 0 11 XX Step 12 Apply maps The map for 00 01 11 10 0 0 0 X 0 1 0 0 expression Step 12 The following haugh's map fo 00 01 11 10 0 0 0 110X1 expression Find the expression from truth table The following the state detecting consecutives Reset 1/0 0/0 0/0 0/0 S2 Figure 2 Step 7 of 12 Tabulate the state assignment table the sequential Table 3 Present state Next state Output B,=0 Y Y 00 00 C1 0 0 01 00 10 0 - 10 00 10 0 1 11 XX XX X Apply maugh's maps The following the Kamaugh map 00 01 11 10 B, 0 0 0 0 1 0 1 Find expression Step The following Karnaugh 00 01 11 10 B, 0 0 0 0 1 0 0 Find expression Step 10 of 12 The following Y. 00 01 11 10 0 0 0 0 1 0 1 expression for Y. Step 11 of 12 Use equations design the logic diagram Clr Clk B, - D2 D2 Y D, Figure 3 Step 12 of 12 Observe from the logic diagram Figure that asserts there appear two ones and the output appear two consecutive ones