21. File " users . avro " will contain the schema in JSON and a compact binary representation of the data: 22. Where i \ cdot j is the bitwise dot product of the binary representations of the numbers i and j. 23. Therefore, even financial software today usually stores values in binary representation and only converts to decimal for input and output. 24. In computing, " human-readable " data is often encoded as ASCII or Unicode text, rather than presented in a binary representation . 25. The notational system directly and logically encodes the binary representations of the digits in a hexadecimal ( base sixteen ) numeral. 26. The phenomenon that the binary representation of any rational is either terminating or recurring also occurs in other radix-based numeral systems. 27. In 1997, he discovered a new, faster formula to calculate single digits of pi in binary representation , known as Bellard's formula. 28. I was editing redundant binary representation , which was full of a mixture of " a RBR " and " an RBR ". 29. Equivalently, the nth number of this sequence is the number n written in binary representation , inversed, and written after the decimal point. 30. As in conventional binary representation , the integer value of a given representation is a weighted sum of the values of the digits.