[VA] Short & Sweet Math Challenges #23: "May the 4th Be With You !" Special

[J-F Garnier]

(05-04-2018 09:39 PM)Valentin Albillo Wrote:  Step the First:
Write a program which accepts from the user an integer N from 1 to 19 and outputs the Nth digit of Log(10), the natural logarithm of 10 (= 2.302585092994045684 to 19-digit accuracy).
...
Step the Second:
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Write a program which accepts from the user an integer N from 1 to 32 and outputs the Nth digit of Pi/2 (= 1.5707963267948966192313216916397 to 32-digit accuracy).

I don't have solutions right now for the Steps the First and Second, but the solutions will be in some way related to the LOG(10) and PI values internally known by the HP71.

PI/4 is known with 31 digits, see for instance here.
and it's easy to make the digits 13-24 of PI visible with SIN(3.14159265358).

LOG(10) is known with 20 digits (2.30...56840) within the EXP function code:



Now, how to make ALL these extra digits visible in a Basic expression?
PEEKing the nibbles from the ROM would be cheating, no?

J-F