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3. Finite State Machine. Using a ROM based finite state machine (FSM), design a bi-directional repetitive...

Question:

3. Finite State Machine. Using a ROM based finite state machine (FSM), design a bi-directional repetitive 3-bit modulo-6 (0,1
3. Finite State Machine. Using a ROM based finite state machine (FSM), design a bi-directional repetitive 3-bit modulo-6 (0,1,2,3,4,5) counter (see Table 3). The design has one input named Dir and three outputs named B2, B1 and BO. The outputs (B2, B1 and BO) are dependent upon being in the present state only. After each clock pulse, when Dir is at logic "O', the outputs (B2, B1, BO) step through the count sequence in following order:- 0,1,2,3,4,5. After each clock pulse, when Dir is at logic "l'", the outputs (B2, B1, BO) step through the count sequence in following order:-5,4,3,2,1,0. Question 3 continues on the next page. 6E5Z1101_EC Page 5/8 Question 3 continued Table 3 Modulo-s Count sequence Count B2 B1 BO 0 0 0 1 1 0 0 1 2 3 4 5 OOO OO 0 0 0 1 1 (a) Draw the state diagram for the circuit described in Q3. (3 marks) (b) Create a state table for the state diagram for answer 23-la). (3 marks) (c) Update the state table for answer 03-(b) to include assigned state values and take account of any unused states. (5 marks) (d) Determine the size of the ROM required for the design. (2 marks) Determine the ROM's addresses (identify and include signal names) (2 marks) Determine the ROM's data (identify and include signal names). le) (f) 12 marks)

Answers

it Dir -0 olp sequence is 0,1,2,3,4,5. it Dir-l olp sequence is 5,4,3,2,1,0, state diagram :{p:6 :40:1 ipp:0 AP ilp:1 100 ifpb state table (unaeed states not influded present stated B2B Noutstate Bel Bit Rd D, D. Po - - 10 0 0 - - 00 - 0 Q o - 0 0 0ดูแฯ state table: (Upatutado,=3,1,- tacitation went state is made o it any present state is Unused steuta p present state nequations for D2 ID, drobeing lomap solving! Dei 0,00 то а о о | 0 Няват, во то, в,0. ГФ) о | (мо No rommon о о Tirms) , , ,Do Biro TIRL 11 - 0 - O 0 0 11 10 1 we should not do reduction, IL map is not atall needed. Because ROM used ill, Rom is ProgGine of ROM needed is 2x 3 EX 441!impets 3 is no: otolp circuit diagram Uling ROM: Bi -D > h RO 11 D 13 14 BIPLA cloeleaddresses 5,6,7,9,14,15 not used in are Our RoM.</p><p>The remaining need to realize addreeses are olpe DziDi, Do,

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