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

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The discussion revolves around the need to calculate the first 50 digits of the golden ratio in hexadecimal. The original poster initially confused the term "golden ratio" with "golden ration," which was clarified by other participants. While some users have found the golden ratio in decimal up to 1,000 digits, they noted that existing online converters may not support such precision for hexadecimal. Suggestions included writing a custom program or converting from binary to hexadecimal. The inquiry was motivated by a personal project, highlighting the challenges of obtaining high-precision digits in the desired format.
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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