Asian American Pacific Islander Month DDSD 2024.pptx
Acevedo algorithm
1. Acevedo’s Algorithm
The Acevedo's Algorithm is named after José Acevedo Jiménez
who developed it. This is expressed as follows:
𝐴1 =
𝑎
𝑏 𝑥0
𝐴2 =
(
𝑎
𝑏 𝑥0
)
𝐵
𝑏 𝑥1
𝐴3 =
(
(
𝑎
𝑏 𝑥0
)
𝐵
𝑏 𝑥1
)
𝐵
𝑏 𝑥2
𝐴 𝑛+1 = ((
(
(
𝑎
𝑏 𝑥0
)
𝐵
𝑏 𝑥1
)
𝑏 𝑥2
⋮
𝐵
)
⋰
)
𝐵
𝑏 𝑥 𝑛
2. if
1 ≤ 𝐴 𝑛+1 < 𝑏
then
log 𝑏 𝑎 = 𝑥0 + ∑ 𝑥𝑖 𝐵−𝑖
𝑛
𝑖=1
Where:
𝑎 ∈ ℝ ≥ 1.
𝐵 = number system base, 𝐵 > 1.
𝑏 = logarithm base.
Original sequence of the algorithm developed by Acevedo to calculate logarithms.