Do two numbers contain unique powers of 2

Actually, 2 bytes

&Y

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Explanation:

&Y
&   bitwise AND
 Y  boolean negation

x86 Machine Code, 5 bytes

20 C8 0F 95 C0

takes inputs in al and cl, and returns output in al, and is equivalent to:

and al, cl
setnz al

Jelly, 2 bytes

&¬

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Explanation:

&¬
&   bitwise AND
 ¬  logical negation