roman numerals
What is the largest Roman Numeral that can be created using two letters?
MM, 2000
What game uses binary?
2048
Sukia game is also correct, you can see why here: https://youtu.be/kmK9iTuwaGc
What is 9ε in decimal?
9x12+11
108+11
117
Give me the hexcode of a shade of blue
#0000ff
(ill allow it if the values of r and g are both similar and smaller than the value of b)
What is a highly composite number?
Numbers that have a lot of divisors/factors, there are no smaller numbers with more or an equal number of factors.
1, 2, 4, 6, 12, 24, 36, 48, 60, 120, 180, 240, 360, 720, 840, 1260, 1680, 2520, 5040...
What is today's year (2025) in Roman Numerals?
MMXXV
Convert 100 in decimal to binary.
100-64=36, 36-32=4
1100100
9x8+7 in duodecimal
bad answer: 79 in base-10 = 67 in duodecimal
It's a bad answer because a true duodecimaler with solve it without converting it to decimal first.
9x8 = 3x3x4x2 = 3x10x2 = 6x10 = 60
60+7 = 67
Give me the hexcode of a shade of yellow
#ffff00
(ill allow it if both the values of r and g are similar and both larger than b)
Most cultures use base 10. Some ancient cultures once used base-5 and base-20. Why is that?
Five fingers on a hand --> base 5
Ten fingers on both hands --> base 10
Twenty appendages (fingers & toes) --> base 20
M is 1000. There is no letter for 5000, so it can't be created. 4000 also cant be created since is 5000-1000, or M minus the letter for 5000, given 3999 or MMMCMXCIX
Convert 0.11 in binary to decimal.
1/2+1/4 = 3/4 or 0.75
What is 2/3 in duodecimal?
1/3 = 0.4
2/3 = 0.8
3/3 = 1
Convert 100 in hexadecimal to decimal.
256
Why did the Ancient Sumerians and Babylonians use base-60?
It is a highly composite number.
Now im wondering why there's no base-5040 in all the history of ancient civilisations :(
Why was roman numerals eventually fell out of use and replaced by arabic numerals?
it was too hard to do calculations in, calculations involved converting it to arabic numerals, solving calculations, then converting it back into roman numberals
Where is binary commonly used and why?
Binary is used in computers; 0 represents off, 1 represents on. While you can use, say, base 3 instead, 0, 1, 2, the computer will need to use more complex and larger detectors to see the difference between 1 and 2. Base 2 is the most efficient.
Why do many people (including nathan) like duodecimal?
It has a high number of divisors, making it more practical in daily life (to divide by 3)
Why is hexadecimal commonly used in digital colourization compared to binary?
It's a more compact and easier for us humans to read version of binary
Are there any limits to bases? (think: can there be fractional bases? negative bases? irrational bases? complex bases?)
base-0 and base-1 (base-0 can only express 0 and base-1 can only express positive integers)
Amy and Bob are looking at the same Roman Numeral; however, Bob is reading it upside down. The upside-down Roman Numeral is still valid, though. What is the non-zero difference between the Roman Numerals (one right way up and the other upside down)?
The only reversible Roman Numerals are I and X, the others, when viewed upside down, are not valid letters.
XI = 11, IX = 9, the difference is 2.
XXI or XII won't work since IIX and IXX aren't valid.
What is today's year (2025) in binary?
1111110101
Convert 0.1 from duodecimal to decimal.
0.083333...
(Correct to two or more significant answers count as correct)
Convert 0.1 from hexadecimal to decimal
0.0625
Nathan, having a lot of fun tormenting, er i mean, teaching his mentees, adds up the numerical values of the volumes of a line, a circle, a sphere, a 4D hypersphere, a 5D hypersphere, and so on, all with the same radius. What base should Nathan express the value in to prevent an irrational number if the digits of the base can only be non-negative integers, but can be bigger than n?
base-pi