Answer
116 in decimal is 1110100 in binary.
Work Step by Step
Check for the largest power of 2 that is smaller than or equal to 116. That is $2^6=64$. There is a “1” in that place.
Subtracting 64 from 116 leaves 52. Repeat, concluding that the largest power of 2 that is smaller than or equal to 52 is $2^5=32$. There is a “1” in that place too.
Subtracting 32 from 52, we are left with 20. Repeat, concluding that the largest power of 2 that is smaller than or equal to 20 is $2^4=16$. There is a “1” in that place too.
Subtracting 16 from 20, we are left with 4. Repeat, concluding that the largest power of 2 that is smaller than or equal to 4 is $2^2=4$. There is a “1” in that place too.
Note that there is a zero in the “8”, “2”, and “1” place.
In other words:
116 = 1(64)+1(32)+1(16)+0(8)+1(4)+0(2)+0(1)
116 in decimal is 1110100 in binary.
