Question

Base 10 gets me so confused. How to convert 40 to base 2

Answer 1

With base 10 we have (for example)

(10,000) (1,000) (1000) (10) (1)

so 40 is 4 in the 10s and 0 in the 1s

So for base 2 start with the equivalent

(128)(64)(32)(16)(8)(4)(2)(1)

and look for the largest that is below 40, so here 32.

(32)(16)(8)(4)(2)(1)
1 0 0 0 0 0

is 32
8 remains. So the next hightest is 8

(32)(16)(8)(4)(2)(1)
1 0 1 0 0 0

and zero remains

so 101000

Does this help?