Binding Text & Radio Buttons to a List

I've successfully bound two strings to a list, but am having trouble figuring out how to bind text with 2 radio buttons properly.

I have a zone array of 8 bytes, that holds On/Off values of the zone. There are 64 zones, thus the 8 bytes. So, bit 0 of byte 0 is '1', if the zone is ON, '0' if OFF.

I have limited space in a Grid, so I want to use a List or some other control that has automatic scrolling.

Something like:

Zone 1 ON<RB> OFF<RB>
Zone 2 ON<RB> OFF<RB>
.
.
Zone 63 ON<RB> OFF<RB>
Zone 64 ON<RB> OFF<RB>

I don't need any NotifyPropertyChanges, because when the user clicks on the SAVE button, the 8 bytes get resaved with the current settings.

I tried some things as I did before with string binding (see code), but this syntax isn't correct, and I don't know if I'm doing it correctly for Radio Buttons. Or maybe a list isn't the correct control.

List<ZoneEntry> zentry = new List<ZoneEntry>();

public class ZoneEntry
{
public string ZoneNum { get; set; }
public RadioButton ZoneOff;
public RadioButton ZoneOn;
}

void CreateZoneTable()
{
for (byte i = 0; i < 64; i++)
{
zentry.Add(new ZoneEntry()
{
ZoneNum = "Zone " + (i + 1),
ZoneOff = ???
ZoneOn = ???
});
}
ZoneTable.ItemsSource = zentry;
}

<DataGrid Grid.Column="0" Grid.Row="1" Height="150" Width="300"
CanUserAddRows="false"
AutoGenerateColumns ="false"
HorizontalAlignment="Left"
RowHeight ="20"
Margin="15,10,0,0"
VerticalAlignment="Top"
Name="ZoneTable"
CanUserSortColumns="False"
CanUserResizeColumns="False"
CanUserReorderColumns="False"
CanUserResizeRows="False"
SelectionUnit="Cell">

<DataGrid.Columns>
<DataGridTextColumn Header = "Zone #"
Width = "SizeToHeader"
Binding = "{Binding ZoneNum}"
IsReadOnly="true"/>

<DataGridTextColumn Header = "Zone Setting"
Binding = "{Binding ZoneOn}"
Binding = "{Binding ZoneOff}"
Width="*"/>
</DataGrid.Columns>
</DataGrid>

What I want to do is set the RB to checked, if the proper zone[i] byte and bit is set to '1' when the table loads. When the user clicks SAVE, the values from zentry are converted back into the zone[i] array.

The WPF binding isn't right, because I don't know how to bind 2 RB under the same column.

Any help on the simplest approach or corrections/additions to the above?

Thanks.

Sutton