How to Calculate BC Years?
Calculating BC (Before Christ) years can be confusing at first, BC years count backwards from the year 1 BC, which is immediately followed by 1 AD (Anno Domini).
To calculate BC years, you need to:
- Identify the reference point (usually 1 BC/AD)
- Count backwards from that point
- Remember that there is no year zero
Let’s calculate how many years passed between 753 BC (the traditional founding of Rome) and 44 BC (the assassination of Julius Caesar):
Start with 753 BC
Count backwards to 44 BC
753 – 44 = 709 years
When calculating across the BC/AD boundary, you need to subtract one year to account for the lack of a year zero. For instance, to calculate the years between 100 BC and 100 AD:
- 100 years BC + 100 years AD = 200 years
- Subtract 1 year (no year zero)
- Final result: 199 years
BC to AD Conversion Chart
BC Year | AD Year |
---|---|
10 BC | 9 AD |
9 BC | 10 AD |
8 BC | 11 AD |
7 BC | 12 AD |
6 BC | 13 AD |
5 BC | 14 AD |
4 BC | 15 AD |
3 BC | 16 AD |
2 BC | 17 AD |
1 BC | 18 AD |
1 AD | 1 AD |
2 AD | 2 AD |
3 AD | 3 AD |
4 AD | 4 AD |
5 AD | 5 AD |
6 AD | 6 AD |
7 AD | 7 AD |
8 AD | 8 AD |
9 AD | 9 AD |
10 AD | 10 AD |
BC to AD Conversion Formula
The formula for converting BC years to AD years is:
AD year = (BC year × -1) + 1
This formula works because it:
- Reverses the BC year (multiplying by -1)
- Adjusts for the lack of a year zero (adding 1)
Examples:
Convert 753 BC to AD: AD year = (753 × -1) + 1 = -752 + 1 = -751 AD (This means 753 BC is equivalent to 751 AD in the opposite direction)
Convert 44 BC to AD: AD year = (44 × -1) + 1 = -43 + 1 = -42 AD
Remember that negative AD years are equivalent to BC years, so -42 AD is the same as 42 BC.
1 BC is Equal To How Many Years
1 BC is equal to 1 year before the start of the AD era. 1 BC is immediately followed by 1 AD, with no year zero in between.
This can be visualized as a number line where 1 BC is -1, and 1 AD is 1, with 0 omitted.
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