What word widths does the visualizer support?

The visualizer supports word widths from 2 bits (values 0–3) up to 6 bits (values 0–63).

Why do Gray and thermometer codes prevent multi-bit switching hazards?

Adjacent values in Gray and thermometer codes differ by only one bit per step (Hamming distance of 1), preventing intermediate sampling errors at counter boundaries.

How is binary converted to Gray code?

Binary values are converted to Gray code using the standard bitwise equation G = B XOR (B >> 1).

What is the difference between one-hot and thermometer encoding?

One-hot sets exactly one active high bit across 2ⁿ bit positions, while thermometer code fills an MSB-aligned continuous run of 1s across 2ⁿ−1 bits.

What HDL code templates are provided?

The tool outputs parameterized Verilog and VHDL modules for binary-to-Gray, binary-to-one-hot, binary-to-thermometer encoders, and cascading XOR Gray-to-binary decoders.

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Gray Code and Thermometer BCD Encoder Visualizer

Convert an N-bit value to binary, Gray, one-hot and thermometer codes with a counting truth table, Hamming-distance chart and Verilog/VHDL encoder stubs.

Details

What this tool helps you do

A digital-design visualizer for binary-code alternatives on words of 2–6 bits.

Encodings produced simultaneously for the chosen value: plain binary; Gray/reflected code (G = B XOR (B >> 1), the unit-distance code whose adjacent values — including the wrap — differ in exactly one bit); one-hot (2ⁿ bits, a single 1); and thermometer/unary (2ⁿ−1 bits, MSB-aligned, the native flash-ADC comparator output).

The Hamming-distance chart walks every counting transition and shows the hazard directly: binary flips up to all n bits at carry boundaries (0111→1000), Gray and thermometer never flip more than one bit, one-hot always flips exactly two. A full counting truth table doubles as the Karnaugh-map axis order and rotary-encoder disc pattern.

Ready-to-paste HDL stubs: parameterized Verilog and VHDL modules with binary→Gray (XOR), binary→one-hot (sized shift), binary→thermometer (MSB-aligned unary shift), and the Gray→binary cascading-XOR decoder.

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Samples

Gray Code and Thermometer BCD Encoder Visualizer

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Key facts

Overview

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Use cases

Examples

1. 4-Bit Value 11 Multi-Encoding Inspection

2. Carry Boundary Hazard Analysis at 7 to 8

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