Making 2-input AND gate, 2-input OR gate and NOT gate using only the "SAND" gate
Let \$\text{SAND}(A,B) = \overline{A}B\$

NOT gate
\$\overline{A} = \overline{A}.1 = \text{SAND}(A,1)\$
Connect B to '1' and feed input to A.

AND gate
\$AB  = \overline{(\overline{A})}B= \overline{(\text{SAND}(A,1))}B = \text{SAND}(\text{SAND}(A,1),B)\$
Invert the 1st input (using NOT gate implemented above) before feeding to SAND. 

OR gate
\$\begin{align}A+B &amp; = \overline{(\overline{A}\ \overline{B})}\\ &amp; = \text{SAND}(\overline{A}\ \overline{B},1)\\ &amp; =     
\text{SAND}(\overline{A}. \text{SAND}(B,1),1)\\ &amp; = \text{SAND}(\text{SAND}(A,\text{SAND}(B,1)),1)\end{align}\$
Invert the 2nd input before feeding to SAND and feed its output to another inverter.