# Base-5 Calculator

The Base 5 number system is also known as the quinary system. In this system, we only use 5 numerical digits (0, 1, 2, 3, and 4) unlike the commonly used decimal system which include 10 numerical digits ( 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9).

## What is a Base-5 Calculator?

'Cuemath's Base-5 Calculator' is an online tool that helps to represent any given number in the Base-5 or quinary system equivalent. Cuemath's online Base-5 calculator assists you to calculate the Base-5 equivalent of a number in a few seconds.

NOTE: Enter the values only up to four digits.

## How to Use Base-5 Calculator?

Please follow the below steps to find the Base-5 equivalent:

**Step 1:**Enter the desired decimal number in the given input box.**Step 2:**Click on the**"Calculate"**button to find Base-5 of the given number.**Step 3:**Click on the**"Reset"**button to clear the fields and enter the different values.

## How to Find a Base-5?

To find the Base-5 or quinary equivalent of a number is repeatedly divided by 5 and on every step, the remainder is used to write the number in the Base-5 form.

**Solved Example:**

What will be the Base-5 equivalent of the number 69?

**Solution:**

Division by 5 | Quotient | Remanider | Bit # |

69/5 | 13 | 4 | 0 |

13/5 | 2 | 3 | 1 |

2/5 | 0 | 2 | 2 |

Therefore, the number 69_{10} in Base-5 is written as 234_{5}

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