Construct the Finite State Machine representation for an up counter with a cycle length of 4 - i.e. a circuit that counts 0 – 1 – 2-3 (output as a binary value, obviously) with successive clock pulses, and then starts over. The external output is the 2-bit count. The only

Database System Concepts
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Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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Derive and simplify the boolean expression for bit 0
of the next state.
Transcribed Image Text:Derive and simplify the boolean expression for bit 0 of the next state.
Up Counter Finite State Machine
Construct the Finite State Machine repressentation
for an up counter with a cycle length of 4 - i.e. a
circuit that counts 0 – 1– 2 – 3 (output as a binary
value, obviously) with successive clock pulses, and
then starts over.
The external output is the 2-bit count. The only
external input is R, a reset pulse: when R = 1 it
resets the next count to 1 (not zero, as in the
practice exam), no matter what the current state;
when R = 0 it keeps counting (i.e. the system
transitions to the next state in sequence).
Transcribed Image Text:Up Counter Finite State Machine Construct the Finite State Machine repressentation for an up counter with a cycle length of 4 - i.e. a circuit that counts 0 – 1– 2 – 3 (output as a binary value, obviously) with successive clock pulses, and then starts over. The external output is the 2-bit count. The only external input is R, a reset pulse: when R = 1 it resets the next count to 1 (not zero, as in the practice exam), no matter what the current state; when R = 0 it keeps counting (i.e. the system transitions to the next state in sequence).
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