Answer:
1000000000000
Explanation:
You keep dividing by 2 until you get to 0 and keep track of the remainder.
There will either be a remainder of 1, or no remainder. When there is no remainder, write 0.
4096 ÷ 2 = 2048 r 0
2048 ÷ 2 = 1024 r 0
1024 ÷ 2 = 512 r 0
512 ÷ 2 = 256 r 0
256 ÷ 2 = 128 r 0
128 ÷ 2 = 64 r 0
64 ÷ 2 = 32 r 0
32 ÷ 2 = 16 r 0
16 ÷ 2 = 8 r 0
8 ÷ 2 = 4 r 0
4 ÷ 2 = 2 r 0
2 ÷ 2 = 1 r 0
1 ÷ 2 = 0 r 1
Answer is read from bottom to top, so 4096 converted to binary is 1000000000000.