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Notes (1023) : Number Systems [1]

For archive (Updated on February 13, 2019)

Roman Number System

Base Numerals

They include

  • I (for representing one)
  • V (for 5)
  • X (for 10)
  • L (for 50)
  • C (for 100)
  • M (for 1000)

Rules

  • If a lesser weighted symbol appears to the left of a larger weighted symbol, the lower value is subtracted from the higher value. Examples : IV (5 -1 = 4), XC (100 – 10 = 90)
  • If a lesser weighted symbol appears to the right of a larger weighted symbol, the lower value to added to the higher value. Examples : VII (5 + 1 + 1 = 7), CXX (100 + 10 + 10 = 120)

Deficiencies

  • It is difficult to perform arithmetic operations
  • It is not easy to read large Roman numbers. Movie companies supposedly use Roman numbers in their copyright dates so that the audience could not quickly figure out if a movie is too old.

Hindu-Arabic System

Digits

There are ten digits 1, 2, 3, 4, 5, 6, 7, 8, 9 and most importantly 0.

Positional System

“The Dawn of Nothing” mphasizes the introduction of Zero thereby allowing the positional system of representing numbers.

Advantages

It has many advantages over the Roman Number System.

  • Compact representation
  • Ease of performing arithmetic operations.

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