The cast of Sati Pingala - 1928 includes: Bhaurao Datar Gangubai Mohite
300 BC
A man called Pingala from India.
This is generally attributed to Pingala, an Indian mathematician who lived in the 2nd - 4th century BCE. His work contained the basic ideas of Fibonacci numbers.
It appears to have been first used by the Indian scholar Pingala, some time between the 5th and 2nd centuries BCE. See link for more.
He discovered the Fibonacci Sequence (although long after an Indian named Pingala did), and he brought the current Arabic number system into popularity through his publication of "Liber Abbaci".
His name was Pingala, and he was Indian, not German. He lived sometime between the 5th and 2nd century BCE. Germany didn't exist until around 1 to 9CE. You are probably thinking of Gottfried Wilhelm von Leibniz (July 1, 1646 - November 14, 1716) but he didn't discover binary. He developed the modern binary system while studying the Chinese I-Ching hexagrams, which are themselves intrinsically binary, and were developed around the same time as Pingala's binary.
Gangubai Mohite has: Performed in "Draupadi Vastraharan" in 1927. Performed in "Rukamangada Mohini" in 1927. Performed in "Nala Damayanti" in 1927. Performed in "Daksha Yagna" in 1927. Performed in "Sati Pingala" in 1928.
Pascal's triangle appeared in some work by the Indian mathematician Pingala in the 2nd Century BC. Although details of Pingala's work are lost, the idea was subsequently expanded upon by Halayudha in the tenth Century. At around the same time, it was discussed by the Persian mathematician, Al-Karaji. It was also known to the Chinese mathematician Jia Xian in the eleventh Century. It is quite possible that the underlying combinatorial mathematics was known to earlier mathematicians but in any case, it is abundantly clear that Pascal was too late by over 3.5 Centuries. It says something about the Eurocentric writers that it is called Pascal's triangle, doesn't it?
It was ARYABHATTAR, an Indian mathematician. Ancient Egyptians and Mayans also understood the concepts of nothing and negativity, but the western world got the idea from Aryabhattar's writing.
The Fibonacci sequence was well known in ancient India, where it was applied to the metrical sciences (prosody), long before it was known in Europe. Developments have been attributed to Pingala (200 BC), Virahanka (6th century AD), Gopāla (c.1135 AD), and Hemachandra (c.1150 AD
One main Indian innovation that is used throughout the world is the number zero. Indian mathematicians were the first to recognise and use zero as a real number. About 500BCE Indian scholar Pingala used the sanskrit word śūnya to represent zero. In 498CE Aryabhata developed a ten digit decimal notation system that is the basis of our 0,1,2,3,4,5,6,7,8,9, system today.