Moore Machine

Moore Machine Visually

Explore interactive Moore machine visualization with state diagrams and transition analysis

Visual Simulation Step Execution Moore Machine Constructor Performance Analysis

What is a Moore Machine?

A Moore machine is a finite-state machine whose output values are determined only by its current state. It is defined by a 6-tuple (Q, Σ, Δ, δ, λ, q₀) where:

  • Q is a finite set of states
  • Σ is a finite set of input symbols (input alphabet)
  • Δ is a finite set of output symbols (output alphabet)
  • δ is the input transition function (δ: Q × Σ → Q)
  • λ is the output function (λ: Q → Δ)
  • q₀ is the initial state (q₀ ∈ Q)

In a Moore machine, the output is determined solely by the current state, making it particularly useful in digital circuit design where outputs need to be synchronized with clock signals.

Interactive Moore Machine Simulator

Visualize and simulate Moore machines with custom configurations.

State Diagram Visualization

Machine Configuration
Execution Control
Current State: q₀
Current Output: 0

Transition Table

State Input: 0 Input: 1 Output
q₀ q₁ q₂ 0
q₁ q₀ q₂ 1
q₂ q₁ q₀ 0

Key Characteristics

  • Output depends only on current state
  • Synchronous output changes
  • Used in digital circuit design
  • Output changes on state transitions
  • More predictable behavior

Moore Machine Applications

Binary Sequence Detector

A Moore machine that detects the sequence "101" in a binary input stream. The output is 1 when the sequence is detected, 0 otherwise.

Digital Circuits Pattern Recognition Sequential Logic

Sequence Counter

A Moore machine that counts occurrences of a specific pattern in the input sequence. The output represents the count modulo some value.

Counter Design State Encoding Synchronous Output

Protocol State Machine

Moore machines are commonly used to model communication protocols where the output (e.g., ready, busy, error signals) depends only on the current protocol state.

Communication Protocols Control Logic State Management

Digital Circuit Design

Moore machines are fundamental in designing digital circuits where outputs must be synchronized with clock signals to avoid glitches and ensure stable operation.

Clock Synchronization Glitch-Free Output Circuit Design