How Can You Calculate the First 50 Digits of the Golden Ratio in Hexadecimal?

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Discussion Overview

The discussion revolves around the calculation of the first 50 digits of the golden ratio in hexadecimal representation. Participants explore methods and tools for obtaining these digits, including programming approaches and conversion techniques.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant requests assistance in finding a program or method to compute the first 50 hexadecimal digits of the golden ratio.
  • Several participants question the initial use of the term "golden ration," clarifying that it should be "golden ratio" and asking for links or definitions.
  • Another participant mentions having found the golden ratio to 1,000 decimal digits but notes the need for a custom program to convert these to hexadecimal, as existing online converters may not support such precision.
  • One participant suggests converting the golden ratio to binary first and then to hexadecimal, indicating that a custom program may be necessary for this process.
  • Participants express curiosity about the purpose of the request, with one stating it is for a personal project and mentioning limitations of built-in methods in Python and Mathematica.

Areas of Agreement / Disagreement

Participants generally agree on the need for a custom program to achieve the desired conversion, but there is no consensus on specific methods or tools to use. The discussion remains unresolved regarding the best approach to calculate the hexadecimal digits.

Contextual Notes

Some limitations include the potential inaccuracy of online converters for high precision and the need for custom programming to achieve the desired results.

Malamala
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I am not sure if this is the right section for this, but i didn't find it anywhere and I really need it. Can someone point me towards a place/tell me a program where I can get/compute the first (at least) 50 digits in the hexadecimal representation of the golden ratio? Thank you!
 
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Ration or ratio? You typed it twice (once in the title and once in your post), so it seems like it's not a typo. But what is the Golden Ration? Can you post a link?
 
berkeman said:
Ration or ratio? You typed it twice (once in the title and once in your post), so it seems like it's not a typo. But what is the Golden Ration? Can you post a link?
Oh sorry I meant ratio: ##(1+\sqrt{5})/2##. (It actually appears ratio in the title for me)
 
Malamala said:
I am not sure if this is the right section for this, but i didn't find it anywhere and I really need it. Can someone point me towards a place/tell me a program where I can get/compute the first (at least) 50 digits in the hexadecimal representation of the golden ration? Thank you!
I have found the golden ratio up to 1,000 digits, however, decimal. I guess you will have to write your own program to convert it. I don't think converters on the internet allow so many digits.

Btw., why do you want to know this?

Edit: In order to forget the link again, here are the decimal digits:
6180339887498948482045868343656381177203091798057628621354486227052604628189024497072072041893911374847540880753868917521266338622235369317931800607667263544333890865959395829056383226613199282902678806752087668925017116962070322210432162695486262963136144381497587012203408058879544547492461856953648644492410443207713449470495658467885098743394422125448770664780915884607499887124007652170575179788341662562494075890697040002812104276217711177780531531714101170466659914669798731761356006708748071013179523689427521948435305678300228785699782977834784587822891109762500302696156170025046433824377648610283831268330372429267526311653392473167111211588186385133162038400522216579128667529465490681131715993432359734949850904094762132229810172610705961164562990981629055520852479035240602017279974717534277759277862561943208275051312181562855122248093947123414517022373580577278616008688382952304592647878017889921990270776903895321968198615143780314997411069260886742962267575605231727775203536139362
 
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fresh_42 said:
I have found the golden ratio up to 1,000 digits, however, decimal. I guess you will have to write your own program to convert it. I don't think converters on the internet allow so many digits.

Btw., why do you want to know this?
It's just for a personal project. I tried with Python and Mathematica, but they don't give me enough digits (the built in methods, i mean)
 
You could convert it into binary and then into hex. But you probably have to write your own program.
 
Malamala said:
(It actually appears ratio in the title for me)
Yes, it looks like one of the other very helpful Mentors has fixed the typo in your title now 😉
 
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