Binary number 1197. Note that the first Prior Value of 0 is simply an initial decimal value. This method is an application of the Horner scheme. The fractional parts of a number are converted with similar methods. They are again based on the equivalence of shifting with doubling or halving. In a fractional binary number such as 0.11010110101, the first digit is formula_7, the second formula_8, etc. So if there is a 1 in the first place after the decimal, then the number is at least formula_7, and vice versa. Double that number is at least 1. This suggests the algorithm: Repeatedly
Binary number the corresponding binary digits: To convert a binary number into its hexadecimal equivalent, divide it into groups of four bits. If the number of bits isn't a multiple of four, simply insert extra 0 bits at the left (called padding). For example: To convert a hexadecimal number into its decimal equivalent, multiply the decimal equivalent of each hexadecimal digit by the corresponding power of 16 and add the resulting values: Binary is also easily converted to the octal numeral system, since octal uses a radix of 8, which is a power of two (namely, 2, so it takes exactly three