Converting Date from One Calendar to Another

Question:
I doubt about my year of birth converting to its equal global year, I live in Iran and our timing is based upon Calendar Years so when My birthday is calendar day :16, calendar month :10, calendar year :1339 equal to Jan 6th but global year 1960 or 1961? In my previous passports 1960 is written but since my birth day is 6 days after beginning of global year 1961,so they should be mistaken about global year. I want to ask how should we convert calendar years to global years regarding calendar month of birth?

Answer: (Responses to questions rely on the accuracy of the name and birth date provided with the question. Typographical errors or incomplete information can result in an incorrect response.)