From 1901 to 2001, this century was called the Twentieth century. This is because the first century did not begin in the year of Zero. It began at the year of one. Thus the first century ended on January 1, the century of one.
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The 1900s. a century is 100 years, so 1963 falls in the 19th century.
You may be referring to the way the 1900s were called the 20th century for example. First, the 1900s are slightly out of alignment with the 20th century which is why people confuse them. You are not referring to the same years. So the 1900s refers to 1900 to 1999 whereas the 20th century refers to 1901 to 2000. Both are correct in their own right in talking about the 1900s or talking about the 20th century, but they do not refer to the same years. The 19th century and the 1900s are completely different, as the 19th century was 1801 to 1900, so had only one year in common with the 1900s, namely the year 1900. The 20th century is the 20th group of 100 years, so it ended at 2000. If the century and the the digits they start with were the same, I.E. the 19th Century was the years 1900 to 1999, then by default the 1st Century would have to be the years 100 to 199. If that were the case, then what would the year 1 to 99 be called, the Zero Century? Also, it would only be 99 years, as there was no year zero. The first century was year 1 to year 100. It didn't start with year 100 or the mythical year zero. The 2nd century was the second group of 100 years, so from 101 to 200. We are now in the 21st century, which is the 21st group of 100 years, so it runs from 2001 to 2100. People will refer to 2000 to 2099 as the 2000s.
There are 100 years in a century. A century is defined as 100 consecutive years. When you say the 1900s, you mean the 100 years that start with in 1900. The 1990s is a decade.
Sixteenth century.
The 11th century 0-99 is 1st century 100-199 2nd century 200-299 3rd century .. .. .. .. 900-999 10th century 1000-1099 11th century .. .. .. .. 1900-1999 20th century 2000-2099 21st century