**NUMBER SYSTEM IN DIGITAL ELECTRONICS**

** **Number System in Digital Electronics and Computer Hardware is simply a method of on behalf of numeric values. **It** uses symbols called numerals to signify numeric numbers.

- It relates to amounts and symbols. In the number system, there is an ordered set of symbols known as digits with rules defined for the execution of arithmetic operations like addition, subtraction, multiplication and division. The base of a system represents a number digit in that specific number system.
- The table below describes Number System in Digital Electronics and Computer Hardware and four number system, their base, and their separate symbols:

Number System | Base | Distinct Symbols |

Binary Number | 2 | 0 or 1 |

Octal Number | 8 | 0 to 7 |

Decimal Number | 10 | 0 to 9 |

Hexadecimal Number | 16 | 0 to 9, A, B, C, D, E, F |

- In hexadecimal format, A=>10,B=>11,C=>12,D=>13,E=>14,F=>15.

Number system in numerical electronics

**Explanation **Number System in Digital Electronics and Computer Hardware

**1.Binary Number System**

- The number system with base two is recognized as binary.
- Only two symbols are used to signify numbers in this system i.e.,0 and 1, which are known as bits.
- A binary number contains of a sequence of bits, respectively bit of which is either 0 or 1.

**2. Octal Number System**

- The number system with base eight is recognized as octal.
- In this scheme, eight symbols i.e.,0,1,2,…..7 are used to represent the number.
- Since its base is, 8=2
^{3 }every 3-bit group of binary can be represented by an octal digit. - An octal number is thus,1/3rd the distance of the consistent binary number.

**3.** **Decimal Number System**

- It uses base 10. It contains digits from 0 to 9.
- It is a positional weighted system.
- In this system, any number of any scale can be represented by the use of these ten signs.
- Each symbol in the number is called a digit.

**4.** **Hexadecimal Number System**

- This system is very general in computer cases.
- The base for hexadecimal number system is 16 which requires 16 different symbols to signify the number.
- There are numerals numbers which contain 0 to 9 and alphabets A to F.
- This is a alphanumeric number system as it uses both alphabets and numerical to represent a hexadecimal number.

**Related questions and answers in Number system:**

**Q1. What is a number system in Digital Electronics, Computer Hardware and DLD?**

**Ans.** It is simply a way of on behalf of numeric values. It uses symbols called numerals to represent numeric amounts. It relates quantities and symbols. In number system there is an ordered set of symbols known as digits with rules for clear for performing arithmetic operations like addition, subtraction,multiplication and division.

**Q2. Write the number system with their base and distinct symbols in digital electronics and DLD**.

**Ans**.

Number System | Base | Distinct Symbols |

Binary | 2 | 0 or 1 |

Octal | 8 | 0 to 7 |

Decimal | 10 | 0 to 9 |

Hexadecimal | 16 | 0 to 9, A, B, C, D, E, F |

**Q3. Explain the binary number system in digital electronics.**

Ans. The number scheme with base two is known as binary number system. One two symbols are used to represent numbers in this system i.e.,0 and 1, which are known as bits.

**Q4. What is octal and hexadecimal number system in digital electronics?**

**Ans**. Octal number system: The number system with base eight is known as octal amount system. In this scheme, eight symbols i.e.,0,1,2,…..7 are used to represent the number.

Hexadecimal number system: This number system is very very popular in computer Science cases. The base for the hexadecimal number scheme is 16 which requires 16 distinct symbols to represent the number. There are numerals from 0 to 9 and alphabets from A to F.