Pt1420 Unit 5 Study Guide
UNIT-5 NUMBER SYSTEM
Number system:-writing system for expressing numbers i.e. it is a notation for representing numbers of a given set ,using digits or other symbols in a consistent manner. It will * Represent all set of numbers * Give every number a unique representation * Reflect the algebraic and arithmetic structure of numbers
It is of two types: * Non-positional * Positional
Non-positional: a number system where each number is represented with help of a unique symbol. This type of number system has limited number of symbols present to represent a number. The representation of a number is not affected by the position the symbol. Example of it is roman number system. In this type of number system we have following …show more content…
Convert the number in hexadecimal into decimal by multiplying each digit of a number with 16 raise to the power of weight of digit. 2. Convert the number obtained in decimal into binary dividing the number by 2 until the quotient is zero.
Shortcut method 1. Convert each octal digit to a 4-bit equivalent binary representation dividing by 2.
10AF16 = ?2 1 0 A F
0001 0000 1010 1111 10AF16 = 00010000101011112
HEXADECIMAL TO OCTAL Method 1. Convert the number in hexadecimal into decimal by multiplying each digit of a number with 16 raise to the power of weight of digit. 2. Convert the number obtained in decimal into binary dividing the number by 8 until the quotient is zero.
Shortcut method 1. Convert each octal digit to a 4-bit equivalent binary representation dividing by 2. 2. Convert the binary number to hexadecimal by grouping bits in threes, starting from right.
1F0C16 =?8 1 F 0 C
0001 1111 0000 1100 1F0C16=00011111000011002
0 001 111 100 001
Number system:-writing system for expressing numbers i.e. it is a notation for representing numbers of a given set ,using digits or other symbols in a consistent manner. It will * Represent all set of numbers * Give every number a unique representation * Reflect the algebraic and arithmetic structure of numbers
It is of two types: * Non-positional * Positional
Non-positional: a number system where each number is represented with help of a unique symbol. This type of number system has limited number of symbols present to represent a number. The representation of a number is not affected by the position the symbol. Example of it is roman number system. In this type of number system we have following …show more content…
Convert the number in hexadecimal into decimal by multiplying each digit of a number with 16 raise to the power of weight of digit. 2. Convert the number obtained in decimal into binary dividing the number by 2 until the quotient is zero.
Shortcut method 1. Convert each octal digit to a 4-bit equivalent binary representation dividing by 2.
10AF16 = ?2 1 0 A F
0001 0000 1010 1111 10AF16 = 00010000101011112
HEXADECIMAL TO OCTAL Method 1. Convert the number in hexadecimal into decimal by multiplying each digit of a number with 16 raise to the power of weight of digit. 2. Convert the number obtained in decimal into binary dividing the number by 8 until the quotient is zero.
Shortcut method 1. Convert each octal digit to a 4-bit equivalent binary representation dividing by 2. 2. Convert the binary number to hexadecimal by grouping bits in threes, starting from right.
1F0C16 =?8 1 F 0 C
0001 1111 0000 1100 1F0C16=00011111000011002
0 001 111 100 001