The half-life is the time taken for an amount of a radioactive isotope to decay to half its original value.
Because this decay is constant it can be used as a “clock” to measure elapsed time assuming the starting amount is known.
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Ox Cal is the most popular software package world-wide for calibrating and analysing dates within the carbon dating process, enabling the accurate dating of objects from the past. Christopher Bronk Ramsey, Director of the Oxford Radiocarbon Accelerator Unit (ORAU), Ox Cal is based on chronologies refined by the use of Bayesian statistical methods, and provides users with access to high-quality calibration of chronological data, now the basis for global chronologies.
It is available online and free to download, and has played a highly significant role in establishing the ORAU as one of the pre-eminent international radiocarbon dating facilities.
The carbon dioxide formed with carbon 14 is indistinguishable from the carbon dioxide with the other carbon isotopes; hence the pathway of carbon 14 into the ocean, plants, and other living organisms is the same as that of carbon 12 and carbon 13.
It is also assumed that there is equilibrium between carbon 14 formation and its decay, thus there is a constant level of carbon 14 in the atmosphere at any given time in the past up to the present.
CALIB 4.4 These figures tell you that the most likely age of your sample is between AD 13 (a 96.3% chance).