TM-312

We are aiming to convert roman numerals to binary. We want to start my recognizing is a roman numeral is valid.

Rules

Numeral	Value
I	1
V	5
X	10
L	50
C	100
D	500
M	1000

Additivity

• When a numeral is followed by one of equal or lesser value you add
  • VI = 5 + 1 = 6

Subtractivity

• When a numeral is followed by one of greater value you subtract
  • IV = 5 - 1 = 4
• V, L, D cannot subtract
  • [Wrong] - VC
• Subtraction must happen between within two numeral levels
  • [Valid] - XC
  • [Wrong] - XD

Repitition

• A numeral can only repeat up to 3 times
  • III = 3
  • [Wrong] - IIII
• V, L, D should never be repeated