Question

Convert the given base ten numeral to the indicated base. 4090 to base two

Answer 1

Notice that 2^12 = 4096 = 4090 + 6. So you can find the base 2 representation of 4090 by subtracting 6 (in base 2) from 4096.

`4096_(10)=1\,0000\,0000\,0000_2`

`6_(10)=110_2`

`\implies4090_(10)=1111\,1111\,1010_2`