13. In this problem you are supposed to develop a state diagram for a "101" sequence detector. Thissequence detector will examine a string of 0's and l’s applied to the input x and generate an outputz=1 only when the input sequence ends in 101. The input x can change only between positive clockactive edges. The detector can be designed as either a Mealy FSM or a Moore FSM. If the sequencedetector is designed as a Mealy FSM, the output z=1 coincides with the last 1 in “101". If it isdesigned as a Moore FSM, the output z=1 coincides with the clock edge during the last 1 in "101",typically behind the Mealy output. A typical input sequence and the corresponding output sequenceare= 011 101 00 1 0 1 0 1 0 0Mealy z = 0 0 0 0 0 1 0 0 00 1 0 1 0 0Moore z = 0 0 0 0 0 0 1 0 00 0 1 0 1 0a) Design a Mealy finite state machine that will detect “101"b) Design a Moore finite state machine that will detect "101"

Answered: a) Design a Mealy finite state machine…

a) Design a Mealy finite state machine that will detect “101" b) Design a Moore finite state machine that will detect "101"

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

13. In this problem you are supposed to develop a state diagram for a "101" sequence detector. This
sequence detector will examine a string of 0's and l’s applied to the input x and generate an output
z=1 only when the input sequence ends in 101. The input x can change only between positive clock
active edges. The detector can be designed as either a Mealy FSM or a Moore FSM. If the sequence
detector is designed as a Mealy FSM, the output z=1 coincides with the last 1 in “101". If it is
designed as a Moore FSM, the output z=1 coincides with the clock edge during the last 1 in "101",
typically behind the Mealy output. A typical input sequence and the corresponding output sequence
are
= 011 101 00 1 0 1 0 1 0 0
Mealy z = 0 0 0 0 0 1 0 0 00 1 0 1 0 0
Moore z = 0 0 0 0 0 0 1 0 00 0 1 0 1 0
a) Design a Mealy finite state machine that will detect “101"
b) Design a Moore finite state machine that will detect "101"

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