a port-town of Golconda in India, where the Dutch have a factory. It is situated on the west side of the bay of Bengal, in 83° E. long. and 18° N. lat.

**BINARY arithmetick**, that wherein unity, or 1 and 0 are only used.

This was the invention of M. Leibnitz, who shews it to be very expeditious in discovering the property of numbers, and in constructing tables: and Dangecourt, in the history of the royal academies of sciences, gives a specimen of it concerning arithmetic progressionals; where he shews, that because in binary arithmetick, only two characters are used, therefore the laws of progression may be more easily discovered by it than by common arithmetic.

All the characters used in binary arithmetick are 0 and 1, and the cipher multiplies every thing by 2, as in the common arithmetic by 10. Thus 1 is one; 10, two; 11, three; 100, four; 101, five; 110, six; 111, seven; 1000, eight; 1001, nine; 1010, ten; which is built on the same principles with common arithmetic.

The author, however, does not recommend this method for common use, because of the great number of figures required to express a number; and adds, that if the common progression were from 12 to 2, or from 16 to 16, it would be still more expeditious.

**Binary measure**, in music, is a measure which is beaten equally, or where the time of rising is equal to that of falling. This is usually called common time. See Music.

**Binary number**, that composed of two units.

**BINDBROKE**, a market-town of Lincolnshire, about twenty-five miles north-east of Lincoln; E. long. 6', and N. lat. 53° 32'.