The number system is a way to represent or express numbers. You have heard of various types of number systems such as the whole numbers and the real numbers. But in the context of computers, we define other types of number systems. They are:

- The decimal number system

- The binary number system

- The octal number system and

- The hexadecimal number system

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### Decimal Number System (Base 10)

^{2}+ 8 x 10

^{1}+ 6 x 10

^{0 }

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### Binary Number System (Base 2)

_{2}in decimal is

^{5}+ 0 x 2

^{4}+ 1 x 2

^{3}+ 1 x 2

^{2}+ 0 x 2

^{1}+ 1 x 2

^{0}

_{10}

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### Units of measurement of data

### Bit

### Byte

### Octal Number System (Base 8)

_{8}in decimal is

^{1}+4×8

^{0}

_{10}

### Hexadecimal Number System (Base 16)

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### Number System Chart

## Name |
## Base |
## Symbols |
## Example |

Decimal | 10 | 0,1,2,3,4,5,6,7,8,9 | (2795)_{10} |

Binary | 2 | 0,1 | 111000010 |

Octal | 8 | 0,1,2,3,4,5,6,7 | (1576)_{8} |

Hexadecimal | 16 | 0,1,2,3,4,5,6,7,8,9,A,B,C,D,E,F | 3DB |

## Example For You

^{2}+ 5×10

^{1}+ 4 x10

^{0}. Thus the number 6 is the most significant in the sense that it contains the bulk of the value of the number. And the number 4 is the least significant bit because it contains the least bulk of the value. Hence the answer is B that is 4 and 6. We can say that in the decimal representation, the number to the left is the MSB and the number to the right is the LSB.

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## Practice Questions

Q 1: How would you represent 10111 in the decimal number system?

A) 23

B) 24

C) 25

D) 22

Ans: A) 23

Q 2: The LSB and MSB in the following number are: 1220

A) 1 & 0

B) 0 & 1

C) 10

D) 01

Ans: A) 0 & 1

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