Here is few from ancient times: * Brahmagupta (c. 598-c. 670) * Govindaswami (c. 800-850) * Mahavira (Mahaviracharya) (850) * Pruthudakaswami (850) * Sridhara (900) * Manjula (930) * Aryabhata II (950) * Prashastidhara (958) * Halayudha (975) * Jayadeva (1000) * Sripathi (1039) * Hemachandra Suri (b. 1089) * Bhaskara (1114-c. 1185) * Cangadeva (1205) * Madhava of Sangamagramma (c. 1340-1425) * Narayama Pandit (1350) * Paramesvara (1360-1455) * Nilakantha Somayaji (1455-1555) * Sankara Variar (c. 1500-1560) * Narayana (c. 1500-1575) * Jyesthadeva (550) * Acyuta Pisarati (c. 1550-1621) * Putumana Somayaji (c. 1660-1740) * Jaganath Pandit (1700) * Sankara Varman (1800)

The concept of binary systems was developed by ancient Indian mathematicians for various reasons. One reason was the need for a concise and efficient way to represent numbers. Binary systems with only two digits (0 and 1) offered a simple method for this purpose. Additionally, understanding binary systems was crucial for calculations in astronomy, which played a significant role in ancient Indian mathematics.