Writing n in the form 2^α + ℓ
Open answerJustify that for every integer n ≥ 1, there exist a unique integer α and a unique integer ℓ between 0 and 2^α − 1 such that n = 2^α + ℓ. (Question III.4 of the assignment.)
Justify that for every integer n ≥ 1, there exist a unique integer α and a unique integer ℓ between 0 and 2^α − 1 such that n = 2^α + ℓ. (Question III.4 of the assignment.)