CODE EXAMPLE FOR CSHARP

RadioButton IsChecked mapped to ENum xmal

<StackPanel>
    <StackPanel.Resources>          
        <local:ComparisonConverter x:Key="ComparisonConverter" />          
    </StackPanel.Resources>
    <RadioButton IsChecked="{Binding Path=YourEnumProperty, Converter={StaticResource ComparisonConverter}, ConverterParameter={x:Static local:YourEnumType.Enum1}}" />
    <RadioButton IsChecked="{Binding Path=YourEnumProperty, Converter={StaticResource ComparisonConverter}, ConverterParameter={x:Static local:YourEnumType.Enum2}}" />
</StackPanel>