perplexus.info :: Algorithms : Number of Zero Digits

Number of Zero Digits (Posted on 2024-04-07)

Derive an algorithm to calculate the total number of zeros in the decimal expansion of 2024²⁰²⁴.

See The Solution Submitted by K Sengupta

Rating: 5.0000 (1 votes)

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My algorithm

| Comment 1 of 3

1. Find a full precision calculator such as https://www.mathsisfun.com/calculator-precision.html

2. Type in 2024^2024 and set to at least 2024log(2024)=6692 digits.

3. Cut and paste into a google doc https://docs.google.com/document/d/1WeARnLfRklJOL_fNgZK1l6min9KGm9vSgfud6Ro95NU/edit?usp=sharing

4. Find and Replace type on 1 and it tells you 705

(At first glance this looks high but the other digits have similar counts so this seems accurate.)

Posted by Jer on 2024-04-07 11:58:50

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