Recurring Decimals

The number of digits after the decimal point is infinite, but reasonable iteration The number of digits after the decimal point is different. In other words, mathematicians have been fascinated by these special figures for more than 2000 years. The system of India-Arabia Foundation 10 we are using today was inspired by Chinese fractional law, and in fact it has a history of about 10,000 years. The decimal part may have been used for a long time, but how about repeating the decimal part? In fact, the ancient Greeks were one of the first people to deal with the fraction.

All rational numbers that can be strictly expressed in hexadecimal can also be expressed finitely in decimal, 10 bin, hexadecimal. In other words, hexadecimal numbers with a finite number of bits are restricted by other radix expressions. The number of digits In other words, only a very small part of the latter can be expressed as hexadecimal representation possible. For example, a decimal number of 0.1 corresponds to 0.199999999999 of an infinite loop of hexadecimal representation. However, hexadecimal numbers are more efficient than cardinal numbers 12 and 60. The hexadecimal number is 0.1, the hexadecimal number is 0.09, the hexadecimal number is 0, 3, the hexadecimal number is 45, and the decimal number is 0.0625.

Explanation of the hexadecimal number of the hexadecimal digital system. That is, before we add a new location with the next number we will describe a numbering system that contains 16 consecutive numbers (including 0) as the base unit. (Note that to interpret the number "10" in hexadecimal, use "16" as the decimal number.) Hexadecimal numbers are 0 to 9, after which the letters A to F are used . The following table shows binary, decimal, and hexadecimal equivalent. Hexadecimal numbers are a convenient way to express binary numbers on modern computers. Bytes are defined in most cases to contain 8 binary numbers. When displaying content stored on a computer (for example, to retrieve a core dump saved for debugging a new computer program, express a text string or a string of binary values ​​when creating a program or HTML page Placing numbers

It is troublesome to write long numbers in binary numbers, it is troublesome to convert from decimal to binary. This is the source of "hexadecimal". A hexadecimal number is a radix of 16 and is convenient for storing with a maximum of 4 nibbles. That is, each hexadecimal digit represents one nibble, and conversion from hexadecimal to binary is straightforward.