$X=X_1X_0 \;and\;Y=Y_1Y_0$ are 2-bit binary numbers. The Boolean function $S$ that satisfies the condition “If $X>Y$, then $S=1”$, in its minimized form, is
- $X_1Y_1+X_0Y_0$
- $X_1\overline Y_1+X_0\overline Y_0\overline Y_1+X_0\overline Y_0 X_1$
- $X_1\overline Y_1X_0Y_0$
- $X_1Y_1+X_0\overline Y_0Y_1+X_0\overline Y_0\overline X_1$