diff --git a/java/unittests/infodynamics/measures/discrete/MutualInformationTester.java b/java/unittests/infodynamics/measures/discrete/MutualInformationTester.java
index 99a589b..f77bfd0 100755
--- a/java/unittests/infodynamics/measures/discrete/MutualInformationTester.java
+++ b/java/unittests/infodynamics/measures/discrete/MutualInformationTester.java
@@ -12,6 +12,14 @@ public class MutualInformationTester extends TestCase {
 		miCalc.addObservations(new int[] {0, 0, 1, 1}, new int[] {0, 0, 1, 1});
 		double miCopy = miCalc.computeAverageLocalOfObservations();
 		assertEquals(1.0, miCopy, 0.000001);
+		
+		// check that the number of observations doesn't cause any changes here:
+		for (int n = 1; n < 100; n++) {
+			miCalc.addObservations(new int[] {0, 0, 1, 1}, new int[] {0, 0, 1, 1});
+			assertEquals(4*(n+1), miCalc.getNumObservations());
+			miCopy = miCalc.computeAverageLocalOfObservations();
+			assertEquals(1.0, miCopy, 0.000001);
+		}
 	}
 	
 	public void testIndependent() {
@@ -43,13 +51,59 @@ public class MutualInformationTester extends TestCase {
 		double miX2Y = miCalc.computeAverageLocalOfObservations();
 		assertEquals(0.0, miX2Y, 0.000001);
 		
-		// Y is fully determined from X1, X2 - MI should be 0 bits
+		// Y is fully determined from X1, X2 - MI should be 1 bits
 		MutualInformationCalculator miCalcBase4 = new MutualInformationCalculator(4, 0);
 		int[] X12 = new int[] {0, 1, 2, 3};
 		miCalcBase4.initialise();
 		miCalcBase4.addObservations(X12, Y);
-		miCalcBase4.setDebug(true);
+		// miCalcBase4.setDebug(true);
 		double miX12Y = miCalcBase4.computeAverageLocalOfObservations();
 		assertEquals(1.0, miX12Y, 0.000001);
 	}
+	
+	public void test3Xor() {
+		MutualInformationCalculator miCalc = new MutualInformationCalculator(2, 0);
+		
+		int[] X1 = new int[] {0, 1, 0, 1, 0, 1, 0, 1};
+		int[] X2 = new int[] {0, 0, 1, 1, 0, 0, 1, 1};
+		int[] X3 = new int[] {0, 0, 0, 0, 1, 1, 1, 1};
+		int[] Y  = new int[] {0, 1, 1, 0, 1, 0, 0, 1};
+		
+		// Y is independent of X1 - MI should be 0 bits
+		miCalc.initialise();
+		miCalc.addObservations(X1, Y);
+		double miX1Y = miCalc.computeAverageLocalOfObservations();
+		assertEquals(0.0, miX1Y, 0.000001);
+
+		// Y is independent of X2 - MI should be 0 bits
+		miCalc.initialise();
+		miCalc.addObservations(X2, Y);
+		double miX2Y = miCalc.computeAverageLocalOfObservations();
+		assertEquals(0.0, miX2Y, 0.000001);
+		
+		// Y is independent of X3 - MI should be 0 bits
+		miCalc.initialise();
+		miCalc.addObservations(X3, Y);
+		double miX3Y = miCalc.computeAverageLocalOfObservations();
+		assertEquals(0.0, miX3Y, 0.000001);
+
+		// Y is independent of X1, X2 - MI should be 0 bits
+		MutualInformationCalculator miCalcBase4 = new MutualInformationCalculator(4, 0);
+		int[] X12 = new int[] {0, 1, 2, 3, 0, 1, 2, 3};
+		miCalcBase4.initialise();
+		miCalcBase4.addObservations(X12, Y);
+		// miCalcBase4.setDebug(true);
+		double miX12Y = miCalcBase4.computeAverageLocalOfObservations();
+		assertEquals(0.0, miX12Y, 0.000001);
+		
+		// Y is fully determined from X1, X2, X3 - MI should be 1 bits
+		MutualInformationCalculator miCalcBase8 = new MutualInformationCalculator(8, 0);
+		int[] X123 = new int[] {0, 1, 2, 3, 4, 5, 6, 7};
+		miCalcBase8.initialise();
+		miCalcBase8.addObservations(X123, Y);
+		// miCalcBase8.setDebug(true);
+		double miX123Y = miCalcBase8.computeAverageLocalOfObservations();
+		assertEquals(1.0, miX123Y, 0.000001);
+	}
+
 }