Design a synchronous sequential circuit with two T flip-flops A and B, one input y and one output Z. When y = 0, the state of the circuit remains the same and Z= 0. When y = 1, the circuit goes through the following state transitions from 00 to 01 to 11 to 10 and back to 00, then repeats, while Z = y for states 10 and 11 and Z = y for states 00 and 01. Assume that state 00 is in the initial state. Provide a table that shows: the input and output values the states (present and next) for the two T flip-flops (i) (a) (b) (ii) (iii) Draw the resulting logic circuit. Using Karnaugh-maps, find the minimal sum-of-products (SOP) form of the equations for the inputs to the T flip-flops and the output (Z).

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Design a synchronous sequential circuit with two T flip-flops A and B, one input y and one
output Z. When y = 0, the state of the circuit remains the same and Z= 0. When y = 1, the
circuit goes through the following state transitions from 00 to 01 to 11 to 10 and back to 00,
then repeats, while Z = y for states 10 and 11 and Z = y for states 00 and 01. Assume that
state 00 is in the initial state.
Provide a table that shows:
the input and output values
the states (present and next) for the two T flip-flops
(i)
(a)
(b)
(ii)
(iii)
Draw the resulting logic circuit.
Using Karnaugh-maps, find the minimal sum-of-products (SOP) form of the
equations for the inputs to the T flip-flops and the output (Z).
Transcribed Image Text:Design a synchronous sequential circuit with two T flip-flops A and B, one input y and one output Z. When y = 0, the state of the circuit remains the same and Z= 0. When y = 1, the circuit goes through the following state transitions from 00 to 01 to 11 to 10 and back to 00, then repeats, while Z = y for states 10 and 11 and Z = y for states 00 and 01. Assume that state 00 is in the initial state. Provide a table that shows: the input and output values the states (present and next) for the two T flip-flops (i) (a) (b) (ii) (iii) Draw the resulting logic circuit. Using Karnaugh-maps, find the minimal sum-of-products (SOP) form of the equations for the inputs to the T flip-flops and the output (Z).
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