Answer:
The answer is 2AF₁₆ = 687₁₀ = 1010101111₂.
Step-by-step explanation:
To convert from hexadecimal base system to binary base system, first you can do an intermediate conversion from hexadecimal to decimal using this formula:

, where position of the x₁ is the rightmost digit of the number and:
- A = 10.
- B = 11.
- C = 12.
- D = 13.
- E = 14.
- F = 15.
2AF₁₆ = 2*16²+A*16¹+F*16⁰ = 512 + 160 + 15 = 687₁₀
Now, transform from decimal to binary the number 687. Divide the number repeatedly by 2, keeping track of each remainder, until we get a quotient that is equal to 0:
Now, construct the integer part base 2 representation, by taking the remainders starting from the bottom of the list:
687₁₀ = 1010101111₂