Number Base Converter

Base Number Converter

The base converter is a tool to convert numbers from one base to another, such as decimal to binary or ternary to hexadecimal. 

The number system converter tool supports all base conversions.

How it Works?

To use this calculator, follow the below steps:

• Enter the Binary number in the given input box.
• Select the 'From' base in the dropdown list.
• Select the 'To' base in the dropdown list.
• You will see the calculated Decimal number in the output box

What is a Base System?

A base system is a mechanism of representing numbers. When we talk about base-n, the system can show a number with n characters (including 0). Numbers are represented by digits that are less than or equal to n. As a result, 3 in base-3 equals 10: because that system lacks a "3," it starts anew (1, 2, 10, 11, 12, 20, 21, 22, 100, etc.).

We commonly utilize base-10 since we have 10 (including 0) digits until we start anew (8,9,10). We only have two characters in base-2 (binary), 0 and 1, until we begin anew. In our (base-10) system, the binary number 10 is 2 in this example.
 

Base Number Calculator

Convert numbers from one base to another; for example: decimal (base 10) to hexadecimal (base 16), binary (base 2) to hexadecimal, duodecimal (base 12) to decimal, ternary (base 3) to binary, etc. It will convert between any pair of bases, 2 through 36. Base 36 (alphanumeric without case) "0123456789 ABCDEFGHIJKL MNOPQRSTUVWXYZ".

• Base 2 Number System

  Also known as binary number system. There are only 2 binary digits: 0 and 1.

• Base 8 Number System

  Octal means 8. Numbers with base 8 comes under octal number system. It is also called as octadecimal number system. To represent numbers in this number system it make use of 8 digits only they are digits from 0-7.

• Base 10 Number System

  Also known as decimal number system. The base of the decimal system is 10, there are 10 symbols, 0 to 9.

• Base 16 Number System

  Hex means 16. Numbers with base 16 comes under hex number system. It is also called as hexadecimal number system. To represent numbers in this number system it make use of 8 digits only they are digits from 0-9 and letters A-F.

Names in Base Number systems

• Base 1 - unary
• Base 2 - binary
• Base  3 - ternary / trinary
• Base  4 - quaternary
• Base  5 - quinary / quinternary
• Base  6 - senary / heximal / hexary
• Base  7 - septenary / septuary
• Base  8 - octal / octonary / octonal / octimal
• Base  9 - nonary / novary / noval
• Base 10 - decimal / denary
• Base 11 - undecimal / undenary / unodecimal
• Base 12 - dozenal / duodecimal / duodenary
• Base 13 - tridecimal / tredecimal / triodecimal
• Base 14 - tetradecimal / quadrodecimal / quattuordecimal
• Base 15 - pentadecimal / quindecimal
• Base 16 - hexadecimal / sexadecimal / sedecimal
• Base 17 - septendecimal / heptadecimal
• Base 18 - octodecimal / decennoctal
• Base 19 - nonadecimal / novodecimal / decennoval
• Base 20 - vigesimal / bigesimal / bidecimal
• Base 21 - unovigesimal / unobigesimal
• Base 22 - duovigesimal
• Base 23 - triovigesimal
• Base 24 - quadrovigesimal / quadriovigesimal
• Base 26 - hexavigesimal / sexavigesimal
• Base 27 - heptovigesimal
• Base 28 - octovigesimal
• Base 29 - novovigesimal
• Base 30 - trigesimal / triogesimal
• Base 31 - unotrigesimal
• Base 36 - hexatridecimal / sexatrigesimal

The number system helps you to represent numbers in a simple small symbol set and plays an essential role in understanding the digital system process.

10 to 7 conversion formula?

How to Convert Base 10 To Base 7 - A Simple Formula That Works!

Convert Base 10 To 7 - A Simple Formula

Calculate how many times you need to multiply by 7 to get the same result as multiplying by 10.

If you are trying to convert numbers into base 7, then you will need to use the following formula:

10 = 1 x 7 + 0
7 = 2 x 5 + 3
5 = 4 x 3 + 1

Multiply the two numbers together.

This simple formula works because each digit has a value of either one or zero. So, when multiplying two numbers, we add the values of the digits in each number. In our example, we multiply the first number by seven (1 x 7) and the second number by five (2 x 5). Then we add these two products together (1 x 7) + (2 x 5) = 10 + 20 = 30. We do the same thing with the third number (4 x 3) + (1 x 1) = 13 + 1 = 14. Finally, we add the three numbers together (30 + 14 + 13) = 57.

Divide the answer by 100.

If we divide 57 by 100, we get 0.57.

The result will be the number of times you need to add 7 to get the same results as adding 10.

So, if you want to convert 57 into base 7, you would simply multiply 57 by 0.7. This means that 57 x 0.7 = 40.5.

Base 10 To Base 3 Calculator

Convert between base 10 and base 3 quickly and easily using this handy online calculator.

Enter any number from 0 to 9 into the top box. 
Simply type in the number you wish to convert into base 3 and hit calculate. It will tell you how many times you would need to add three to reach the highest power of ten.