Question

Write 43 as a sum of powers of 2.
(2 Has to be the Base not the exponent)

Answer 1

2⁰ + 2¹+ 2⁵ +2³ = 43

Explanation:

since 43 is odd, we know 2⁰ or 1 must be one of the sums

43 - 2⁰ = 42

42 - 2¹ = 40

16 = 2⁴

40-2(16) = 40 - 2⁵ = 8

8 = 2³

adding this all together

2⁰ + 2¹+ 2⁵ +2³ = 43