A synchronous counter counts through 3-bit prime numbers downwards. Assume the counter starts with initial prime value set to 010 as its first 3-bit prime number. The undesired states will go with their next state to be don't cares. (b) (i) Draw the state transition diagram of a state machine. (ii) Build the excitation table for the state machine. (iii) Find the simplest Boolean expression for the circuit using Karnaugh map. (iv) Implement the circuit diagram with implementation of JK flip flops and logic gates.
A synchronous counter counts through 3-bit prime numbers downwards. Assume the counter starts with initial prime value set to 010 as its first 3-bit prime number. The undesired states will go with their next state to be don't cares. (b) (i) Draw the state transition diagram of a state machine. (ii) Build the excitation table for the state machine. (iii) Find the simplest Boolean expression for the circuit using Karnaugh map. (iv) Implement the circuit diagram with implementation of JK flip flops and logic gates.
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Transcribed Image Text:(b) A synchronous counter counts through 3-bit prime numbers downwards. Assume the
counter starts with initial prime value set to 010 as its first 3-bit prime number. The
undesired states will go with their next state to be don't cares.
(i)
Draw the state transition diagram of a state machine.
(ii)
Build the excitation table for the state machine.
(iii)
Find the simplest Boolean expression for the circuit using Karnaugh map.
(iv)
Implement the circuit diagram with implementation of JK flip flops and logic gates.
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