Decimal Arithmetic & Conversion

Binary :

Octal :

Hex :

0

HISTORY

# Decimal Converter & Calculator

Decimal converter & calculator to perform decimal to binary, decimal to hex & decimal to octal conversion, steps for work & all arithmetic operations between decimal, binary, hex & octal number system.

__Decimal Number :__Decimal number is the base-10 number system uses 0 to 9 to represent any values, is the most generic & commonly used number system.

__Number Conversions :__The below step by step conversions may useful to understand how to perform conversions between decimal, binary, hex & octal numbers.

Example Conversion with Work

## How to convert decimal to binary?

The decimal to binary conversion can be made through successive division of 2 or MOD-2 method. It’s a Modulo-operation by 2. Perform the successive MOD operation by 2 for the given decimal number and note down the remainder (either 0 or 1) for each operation. The last remainder is the MSD (most significant digit) and the first remainder is the LSD (least significant digit). Write the remainders from MSD to LSD provide the equivalent binary number.

The equivalent binary for decimal

Use this decimal to binary converter calculator for quick conversions, arithmetic operations and to generate the complete step by step work for such conversions

__Example :__Divisor | Decimal | Remainder | |
---|---|---|---|

2 | 5 | 1 | LSD |

2 | 2 | 0 | |

1 | MSD |

**5**is

_{10}**101**

_{2}Use this decimal to binary converter calculator for quick conversions, arithmetic operations and to generate the complete step by step work for such conversions

## How to convert decimal to hex?

The decimal to hex conversion can be made through successive division of 16 or MOD-16 method. It’s a Modulo-operation by 16. Perform the successive MOD operation by 16 for the given decimal number and note down the remainder (either 0 to 1 or A to F) for each operation. The last remainder is the MSD (most significant digit) and the first remainder is the LSD (least significant digit). Write the remainders from MSD to LSD provide the equivalent hexadecimal number.

The equivalent hexadecimal for decimal

Use this decimal to hex converter calculator for quick conversions, arithmetic operations and to generate the complete step by step work for such conversions.

__Example :__Divisor | Decimal | Remainder | |
---|---|---|---|

16 | 283 | B | LSD |

16 | 17 | 1 | |

1 | MSD |

**283**is

_{10}**11B**

_{16}Use this decimal to hex converter calculator for quick conversions, arithmetic operations and to generate the complete step by step work for such conversions.

### How to convert decimal to octal?

The decimal to octal conversion can be made through successive division of 8 or MOD 8 method. It’s a Modulo-operation by 8. Perform the successive MOD 8 operation for the given decimal number and note down the remainder (either 0 to 7) for each operation. The last remainder is the MSD (most significant digit) and the first remainder is the LSD (least significant digit). Write the remainders from MSD to LSD provide the equivalent octal number.

The equivalent octal for decimal

Use this decimal to octal converter calculator for quick conversions, arithmetic operations and to generate the complete step by step work for such conversions.

Learn how to perform addition, subtraction, multiplication & division between two or more decimal numbers from the below information.

__Example :__Divisor | Decimal | Remainder | |
---|---|---|---|

8 | 92 | 4 | LSD |

8 | 11 | 3 | |

1 | 4 | MSD |

**92**is

_{10}**134**

_{8}Use this decimal to octal converter calculator for quick conversions, arithmetic operations and to generate the complete step by step work for such conversions.

__Decimal Numbers Arithmetic__Learn how to perform addition, subtraction, multiplication & division between two or more decimal numbers from the below information.

### How to perform decimal addition?

The decimal addition is the result of corresponding place value addition between two or more decimal from right to left. The result of place value addition is more than 1 digit, the right most digit of the result of place value addition written in the answer and the remaining digits added to left adjacent place value if any, otherwise, the whole number will be written in the result.

Add the decimal numbers A = 819 and B = 909

819

+ 909

--------

---------

__Example :__Add the decimal numbers A = 819 and B = 909

__Solution :__819

+ 909

--------

**Sum**1728

---------

### How to perform decimal subtraction?

The decimal subtraction is the result of corresponding place value subtraction between two or more decimal from right to left. In general, subtraction has three basic elements as they are minuend, subtrahend and difference. The place value of subtrahend is bigger than the minuend then the value of 10 will be borrowed from the left adjacent digit of the minuend and added to the place value.

Subtract 909 from 987.

987

- 909

--------

---------

__Example :__Subtract 909 from 987.

**Solution :**987

- 909

--------

**Difference**78

---------

#### How to perform decimal multiplication?

The decimal multiplication can be achieved by performing the successive addition. In general, the multiplication has three basic elements as they are multiplicand, multiplier and product.

Multiply 15 with 12.

15

x12

---------

30

15

----------

-----------

**Example :**Multiply 15 with 12.

**Solution :**15

x12

---------

30

15

----------

**Product**180

-----------

#### How to perform decimal division?

The decimal multiplication can be achieved by performing the successive subtraction. In general, the division has four basic elements as they are dividend, divisor, quotient and remainder.

Divide 956 by 9 & find the quotient & remainder.

9)956(109

90

----------

56

54

-----------

-----------

The

Use this decimal converter calculator for quick arithmetic operations such as addition, subtraction, multiplication & division between two or more decimal numbers or within this number system.

**Example :**Divide 956 by 9 & find the quotient & remainder.

**Solution :**9)956(109

90

----------

56

54

-----------

**Remainder**2

-----------

The

**quotient**is 109 &

**remainder**is 2

Use this decimal converter calculator for quick arithmetic operations such as addition, subtraction, multiplication & division between two or more decimal numbers or within this number system.

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