binary number system

- Binary numbers system
- The number system with base 2 is known as
*binary number system*. - Two symbols/digit are used in it 0 and 1, which we called
**bits.** - Binary number system is positional number system, i.e. every position in a number has assigned some weight.
- Group of four bits is known as
**nibble**and group of 8 bits is known as**byte**.

Binary numbers are shown below,

**2-bit binary number representation :**

binary numbers | decimalequivalent |

0 0 | 0 0 |

0 1 | 0 1 |

1 0 | 0 2 |

1 1 | 0 3 |

**binary number system**

**3- bit binary number representation**

binary numbers | decimalequivalent |

0 0 0 | 0 0 |

0 0 1 | 0 1 |

0 1 0 | 0 2 |

0 1 1 | 0 3 |

1 0 0 | 0 4 |

1 0 1 | 0 5 |

1 1 0 | 0 6 |

1 1 1 | 0 7 |

**4-bit binary number representation**

binary numbers | decimalequivalent |

0 0 0 0 | 0 0 |

0 0 0 1 | 0 1 |

0 0 1 0 | 0 2 |

0 0 1 1 | 0 3 |

0 1 0 0 | 0 4 |

0 1 0 1 | 0 5 |

0 1 1 0 | 0 6 |

0 1 1 1 | 0 7 |

1 0 0 0 | 0 8 |

1 0 0 1 | 0 9 |

1 0 1 0 | 1 0 |

1 0 1 1 | 1 1 |

1 1 0 0 | 1 2 |

1 1 0 1 | 1 3 |

1 1 1 0 | 1 4 |

1 1 1 1 | 1 5 |

- Left most bit is known as
right most is*Most Significant Bit (MSB)*and*Least significant bi*t(LSB). - In any number, zero can be added to left most side of the number ,which does not effects it value.

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