What is Binary Number System in Computer?

In binary number system, there are only two number available to represent the numeric values says 0 and 1.

There are 2 symbol (i.e. 0 and 1) used in binary number system, so it is also called base-2 numerical system.

Example of Binary Number:

011, 1110, 101001, 111001011

Before we start that how to add binary numbers, first of all you should know that what will be values of decimal in binary, so below tables give you reference or cross check that binary number addition is correct or incorrect.

How to add binary number in computer?

It is simple as we add the decimal number. keep in mind the following trick to addition of binary numbers as:

Let's we understand the how to add binary number in computer through an example as:

Let's we want to add two decimal number 8+4=12.

When we convert these number decimal to binary, we get:

8 in Binary 1 0 0 0 and,

4 in Binary 1 0 0

Below figure shows the step by step with explanation that how to add these binary numbers:

You can cross check the your answer, through convert the binary value to decimal and add them as we are doing in daily life, after that compare the both values if both are equal, thump's up friend, you done it, Cheers!!

Four your practice, add the following binary numbers:

(for your cross check binary addition result, i also write down answer.)

1 0 1 0 0 0 0 1 1 1 0 1 1 0 1 1 0 0 1 1 1

+ 0 1 1 0 1 + 1 0 0 1 1 0 + 1 1 0 + 1 0 1 1 0 1 1

------------------ -------------------- ------------ ---------------------

1 0 0 0 0 1 1 0 1 1 0 0 1 1 0 0 1 1 0 0 0 0 1 0

------------------ -------------------- ------------ --------------------

In binary number system, there are only two number available to represent the numeric values says 0 and 1.

There are 2 symbol (i.e. 0 and 1) used in binary number system, so it is also called base-2 numerical system.

Example of Binary Number:

011, 1110, 101001, 111001011

Before we start that how to add binary numbers, first of all you should know that what will be values of decimal in binary, so below tables give you reference or cross check that binary number addition is correct or incorrect.

S.No. | Decimal | Binary |

1. | 0 | 0 |

2. | 1 | 1 |

3. | 2 | 10 |

4. | 3 | 11 |

5. | 4 | 100 |

6. | 5 | 101 |

7. | 6 | 110 |

8. | 7 | 111 |

9. | 8 | 1000 |

10. | 9 | 1001 |

11. | 10 | 1010 |

*Comparison of Decimal and Binary Numbers*

**Table:**How to add binary number in computer?

It is simple as we add the decimal number. keep in mind the following trick to addition of binary numbers as:

Rules No. | Condition | Result | Remark |

1. | 0 + 0 | 0 | - |

2. | 0 + 1 | 1 | - |

3. | 1 + 0 | 1 | - |

4. | 1 + 1 | 0 | carry 1 to next column |

5. | 1 + 1 + 1 | 1 | carry 1 to next column |

*Binary number addition rules*

**Table:**Let's we understand the how to add binary number in computer through an example as:

Let's we want to add two decimal number 8+4=12.

When we convert these number decimal to binary, we get:

8 in Binary 1 0 0 0 and,

4 in Binary 1 0 0

Below figure shows the step by step with explanation that how to add these binary numbers:

How to add two binary numbers in computerFigure: |

Four your practice, add the following binary numbers:

(for your cross check binary addition result, i also write down answer.)

1 0 1 0 0 0 0 1 1 1 0 1 1 0 1 1 0 0 1 1 1

+ 0 1 1 0 1 + 1 0 0 1 1 0 + 1 1 0 + 1 0 1 1 0 1 1

------------------ -------------------- ------------ ---------------------

1 0 0 0 0 1 1 0 1 1 0 0 1 1 0 0 1 1 0 0 0 0 1 0

------------------ -------------------- ------------ --------------------

*You might also like:*- How to convert Decimal number to Binary numbers in Computer?

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