How to convert Quaternary to QuinaryQuaternary is the base-4 numeral system. It uses the digits 0, 1, 2 and 3 to represent any real number. Four is the largest number within the subitizing range and one of two numbers that is both a square and a highly composite number, making quaternary a convenient choice for a base at this scale. Despite being twice as large, its radix economy is equal to that of binary.
Quinary is a numeral system with five as the base. A possible origination of a quinary system is that there are five fingers on either hand. In the quinary place system, five numerals, from 0 to 4, are used to represent any real number. According to this method, five is written as 10, twenty-five is written as 100 and sixty is written as 220.
Follow these steps to convert a quaternary number into quinary form:
The simplest way is to convert the quaternary number into decimal, then the decimal into quinary form.
- Write the powers of 4 (1, 4, 16, 64, 256, and so on) beside the quaternary digits from bottom to top.
- Multiply each digit by it's power.
- Add up the answers. This is the decimal solution.
- Divide the decimal number by 5.
- Get the integer quotient for the next iteration (if the number will not divide equally by 5, then round down the result to the nearest whole number).
- Keep a note of the remainder, it should be between 0 and 4.
- Repeat the steps from step 4. until the quotient is equal to 0.
- Write out all the remainders, from bottom to top. This is the quinary solution.
|143 / 5||28||3|
|28 / 5||5||3|
|5 / 5||1||0|
|1 / 5||0||1|