Draw the state diagram of an FSM which accepts a binary stream and outputs a '1' whenever it detects a pattern "1111". Overlapping sequences are allowed. For example: Input Stream: 1 1 1 1 0 1 1 1 1 1 0 0 1 0 1 Output: 000100001100 000 a. Perform state encoding. Show the tabular representations of next state and output functions. b. Derive minimized Boolean equations for next state and output functions.

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Draw the state diagram of an FSM which accepts a binary stream and
outputs a '1' whenever it detects a pattern "1111". Overlapping sequences
are allowed. For example: Input Stream: 1 1 1 1 0 1 1 1 1 1 0 0 1 0 1 Output:
0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 a. Perform state encoding. Show the tabular
representations of next state and output functions. b. Derive minimized
Boolean equations for next state and output functions.
Transcribed Image Text:Draw the state diagram of an FSM which accepts a binary stream and outputs a '1' whenever it detects a pattern "1111". Overlapping sequences are allowed. For example: Input Stream: 1 1 1 1 0 1 1 1 1 1 0 0 1 0 1 Output: 0 0 0 1 0 0 0 0 1 1 0 0 0 0 0 a. Perform state encoding. Show the tabular representations of next state and output functions. b. Derive minimized Boolean equations for next state and output functions.
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