diff --git a/csharp/Platform.Data.Doublets.Tests/UnaryNumberToAddressAddOperationConverterTests.cs b/csharp/Platform.Data.Doublets.Tests/UnaryNumberToAddressAddOperationConverterTests.cs
new file mode 100644
index 000000000..9d13f0424
--- /dev/null
+++ b/csharp/Platform.Data.Doublets.Tests/UnaryNumberToAddressAddOperationConverterTests.cs
@@ -0,0 +1,127 @@
+using System;
+using System.IO;
+using System.Numerics;
+using Platform.Data.Doublets.Converters;
+using Platform.Data.Doublets.Decorators;
+using Platform.Data.Doublets.Memory.United.Generic;
+using Platform.Memory;
+using Xunit;
+
+namespace Platform.Data.Doublets.Tests
+{
+    public static class UnaryNumberToAddressAddOperationConverterTests
+    {
+        [Fact]
+        public static void BasicConversionTest()
+        {
+            Using<ulong>(links =>
+            {
+                var converter = new UnaryNumberToAddressAddOperationConverter<ulong>(links);
+                
+                // Test null/default conversion
+                var result = converter.Convert(links.Constants.Null);
+                Assert.Equal(0UL, result);
+            });
+        }
+
+        [Fact]
+        public static void UnaryOneConversionTest()
+        {
+            Using<ulong>(links =>
+            {
+                var converter = new UnaryNumberToAddressAddOperationConverter<ulong>(links);
+                
+                // Create unary "one" (self-referencing link)
+                var unaryOne = links.GetOrCreate(links.Constants.Itself, links.Constants.Itself);
+                var result = converter.Convert(unaryOne);
+                
+                Assert.Equal(1UL, result);
+            });
+        }
+
+        [Fact]
+        public static void PowerOfTwoValidationTest()
+        {
+            Using<ulong>(links =>
+            {
+                var converter = new UnaryNumberToAddressAddOperationConverter<ulong>(links);
+                
+                // Create a more complex unary number structure that would trigger traversal
+                var unaryOne = links.GetOrCreate(links.Constants.Itself, links.Constants.Itself);
+                var two = links.GetOrCreate(unaryOne, unaryOne);
+                
+                // Create an invalid link structure where source != target
+                // and target is not a power of two (using an odd number)
+                var oddTarget = links.GetOrCreate(links.Constants.Itself, two); // Create link 3
+                var invalidUnaryNumber = links.GetOrCreate(unaryOne, oddTarget);
+                
+                // This should throw an InvalidOperationException due to power-of-two check
+                Assert.Throws<InvalidOperationException>(() => converter.Convert(invalidUnaryNumber));
+            });
+        }
+
+        [Fact]
+        public static void NonCachedBehaviorTest()
+        {
+            Using<ulong>(links =>
+            {
+                var converter = new UnaryNumberToAddressAddOperationConverter<ulong>(links);
+                
+                // Verify that converter creates links on-demand
+                var initialCount = links.Count();
+                
+                // Create unary "one" should create a new link
+                var unaryOne = links.GetOrCreate(links.Constants.Itself, links.Constants.Itself);
+                var result = converter.Convert(unaryOne);
+                
+                // Verify no additional links were pre-created by the converter itself
+                var finalCount = links.Count();
+                
+                Assert.Equal(1UL, result);
+                // The count should only increase by the links we explicitly created
+                Assert.True(finalCount >= initialCount);
+            });
+        }
+
+        [Fact]
+        public static void MultipleTypeTest()
+        {
+            // Test with different numeric types
+            Using<byte>(links =>
+            {
+                var converter = new UnaryNumberToAddressAddOperationConverter<byte>(links);
+                var result = converter.Convert(links.Constants.Null);
+                Assert.Equal((byte)0, result);
+            });
+            
+            Using<ushort>(links =>
+            {
+                var converter = new UnaryNumberToAddressAddOperationConverter<ushort>(links);
+                var result = converter.Convert(links.Constants.Null);
+                Assert.Equal((ushort)0, result);
+            });
+            
+            Using<uint>(links =>
+            {
+                var converter = new UnaryNumberToAddressAddOperationConverter<uint>(links);
+                var result = converter.Convert(links.Constants.Null);
+                Assert.Equal(0U, result);
+            });
+        }
+
+        private static void Using<TLinkAddress>(Action<ILinks<TLinkAddress>> action) 
+            where TLinkAddress : IUnsignedNumber<TLinkAddress>, 
+                                IShiftOperators<TLinkAddress, int, TLinkAddress>, 
+                                IBitwiseOperators<TLinkAddress, TLinkAddress, TLinkAddress>, 
+                                IMinMaxValue<TLinkAddress>, 
+                                IComparisonOperators<TLinkAddress, TLinkAddress, bool>
+        {
+            var unitedMemoryLinks = new UnitedMemoryLinks<TLinkAddress>(new HeapResizableDirectMemory());
+            using (var logFile = File.Open($"converterTest_{typeof(TLinkAddress).Name}.txt", FileMode.Create, FileAccess.Write))
+            {
+                LoggingDecorator<TLinkAddress> decoratedStorage = new(unitedMemoryLinks, logFile);
+                action(decoratedStorage);
+            }
+        }
+    }
+}
\ No newline at end of file
diff --git a/csharp/Platform.Data.Doublets/Converters/UnaryNumberToAddressAddOperationConverter.cs b/csharp/Platform.Data.Doublets/Converters/UnaryNumberToAddressAddOperationConverter.cs
new file mode 100644
index 000000000..4be1bdc95
--- /dev/null
+++ b/csharp/Platform.Data.Doublets/Converters/UnaryNumberToAddressAddOperationConverter.cs
@@ -0,0 +1,179 @@
+using System;
+using System.Numerics;
+using System.Runtime.CompilerServices;
+using Platform.Delegates;
+using Platform.Numbers;
+using Platform.Converters;
+
+#pragma warning disable CS1591 // Missing XML comment for publicly visible type or member
+
+namespace Platform.Data.Doublets.Converters;
+
+/// <summary>
+/// <para>
+/// Represents a converter that transforms unary numbers to address add operations without caching.
+/// This implementation creates links on-demand only, without precreation.
+/// </para>
+/// <para></para>
+/// </summary>
+/// <typeparam name="TLinkAddress">
+/// <para>The link address type.</para>
+/// <para></para>
+/// </typeparam>
+public class UnaryNumberToAddressAddOperationConverter<TLinkAddress> : IConverter<TLinkAddress>
+    where TLinkAddress : IUnsignedNumber<TLinkAddress>, IComparisonOperators<TLinkAddress, TLinkAddress, bool>
+{
+    /// <summary>
+    /// <para>
+    /// The links storage.
+    /// </para>
+    /// <para></para>
+    /// </summary>
+    protected readonly ILinks<TLinkAddress> _links;
+
+    /// <summary>
+    /// <para>
+    /// The constants.
+    /// </para>
+    /// <para></para>
+    /// </summary>
+    protected readonly LinksConstants<TLinkAddress> _constants;
+
+    /// <summary>
+    /// <para>
+    /// Initializes a new <see cref="UnaryNumberToAddressAddOperationConverter{TLinkAddress}"/> instance.
+    /// </para>
+    /// <para></para>
+    /// </summary>
+    /// <param name="links">
+    /// <para>The links storage.</para>
+    /// <para></para>
+    /// </param>
+    [MethodImpl(MethodImplOptions.AggressiveInlining)]
+    public UnaryNumberToAddressAddOperationConverter(ILinks<TLinkAddress> links)
+    {
+        _links = links;
+        _constants = links.Constants;
+    }
+
+    /// <summary>
+    /// <para>
+    /// Converts a unary number to its address representation without using a cache.
+    /// Creates links on-demand only.
+    /// </para>
+    /// <para></para>
+    /// </summary>
+    /// <param name="unaryNumber">
+    /// <para>The unary number representation to convert.</para>
+    /// <para></para>
+    /// </param>
+    /// <returns>
+    /// <para>The address representation of the unary number.</para>
+    /// <para></para>
+    /// </returns>
+    [MethodImpl(MethodImplOptions.AggressiveInlining)]
+    public TLinkAddress Convert(TLinkAddress unaryNumber)
+    {
+        // Handle null/default case
+        if (unaryNumber == _constants.Null)
+        {
+            return TLinkAddress.Zero;
+        }
+
+        // Create the unary "one" (self-referencing link) on-demand
+        var unaryOne = _links.GetOrCreate(_constants.Itself, _constants.Itself);
+        if (unaryNumber == unaryOne)
+        {
+            return TLinkAddress.One;
+        }
+
+        // Get the source and target of the unary number
+        var source = _links.GetSource(unaryNumber);
+        var target = _links.GetTarget(unaryNumber);
+
+        // If source equals target, this is a simple power of two case
+        if (source == target)
+        {
+            // Calculate the power of two value on-demand instead of using cache
+            return CalculatePowerOfTwoValue(unaryNumber, unaryOne);
+        }
+        else
+        {
+            // More complex case: accumulate result by traversing the structure
+            var result = CalculatePowerOfTwoValue(source, unaryOne);
+            
+            // Traverse the target structure and accumulate values
+            while (target != unaryOne && target != _constants.Null)
+            {
+                // Check if target is a power of two (as mentioned in the issue)
+                if (!Platform.Numbers.Math.IsPowerOfTwo(ulong.CreateTruncating(target)))
+                {
+                    throw new InvalidOperationException($"Target {target} is not a power of two.");
+                }
+                
+                source = _links.GetSource(target);
+                result = result + CalculatePowerOfTwoValue(source, unaryOne);
+                target = _links.GetTarget(target);
+            }
+            
+            return result;
+        }
+    }
+
+    /// <summary>
+    /// <para>
+    /// Calculates the power of two value for a unary number without using cache.
+    /// </para>
+    /// <para></para>
+    /// </summary>
+    /// <param name="unary">
+    /// <para>The unary number.</para>
+    /// <para></para>
+    /// </param>
+    /// <param name="unaryOne">
+    /// <para>The unary "one" value.</para>
+    /// <para></para>
+    /// </param>
+    /// <returns>
+    /// <para>The power of two value.</para>
+    /// <para></para>
+    /// </returns>
+    [MethodImpl(MethodImplOptions.AggressiveInlining)]
+    private TLinkAddress CalculatePowerOfTwoValue(TLinkAddress unary, TLinkAddress unaryOne)
+    {
+        if (unary == unaryOne)
+        {
+            return TLinkAddress.One;
+        }
+
+        // Count the depth to determine the power of two
+        var depth = 0;
+        var current = unary;
+        
+        while (current != unaryOne && current != _constants.Null)
+        {
+            var source = _links.GetSource(current);
+            var target = _links.GetTarget(current);
+            
+            if (source == target) // This means it's a power-of-two link
+            {
+                depth++;
+                current = source;
+            }
+            else
+            {
+                break;
+            }
+        }
+        
+        // Calculate 2^depth
+        var result = TLinkAddress.One;
+        for (int i = 0; i < depth; i++)
+        {
+            result += result; // Double the value (multiply by 2)
+        }
+        
+        return result;
+    }
+
+}
\ No newline at end of file