Hexadecimal System The hexadecimal system is a positional number system that uses base 16 to represent different values.Therefore,this number system is known as base-16 system. As this system uses base 16,16 symbols are available for representing the values in this system. These symbols are the digits 0-9,which are used to represent the decimal values 0 through 9,and the letters A,B,C,D,E and F,which are used to represent the decimal values 10 through 15
Hexadecimal System ◼ The hexadecimal system is a positional number system that uses base 16 to represent different values. Therefore, this number system is known as base-16 system. ◼ As this system uses base 16, 16 symbols are available for representing the values in this system. These symbols are the digits 0-9, which are used to represent the decimal values 0 through 9, and the letters A, B, C, D, E and F, which are used to represent the decimal values 10 through 15
Hexadecimal System The weight associated with each symbol in the given hexadecimal number can be determined by raising 16 to a power equivalent to the position of the digit in the number. 4A90.2BC Digit 4A 9 0 2 B C Weight 163 162 161 160 Hexadecimal Point 16-1 16-2 16-3
Hexadecimal System ◼ The weight associated with each symbol in the given hexadecimal number can be determined by raising 16 to a power equivalent to the position of the digit in the number. Digit 4 A 9 0 . 2 B C Weight 163 162 161 160 Hexadecimal Point 16-1 16-2 16-3 4A90.2BC
Octal System The octal system is the positional number system that uses base 8 to represent different values. Therefore,this number system is also known as base-8 system. As this system uses base 8,eight symbols are available for representing the values in this system. These symbols are the digits 0 to 7
Octal System ◼ The octal system is the positional number system that uses base 8 to represent different values. Therefore, this number system is also known as base-8 system. ◼ As this system uses base 8, eight symbols are available for representing the values in this system. These symbols are the digits 0 to 7
Octal System The weight associated with each digit in the given octal number can be determined by raising 8 to a power equivalent to the position of the digit in the number. 2157.075 Digit 21 5 7 0 75 Weight 83 82 81 80 Octal Point 81 8-2 8-3
Octal System ◼ The weight associated with each digit in the given octal number can be determined by raising 8 to a power equivalent to the position of the digit in the number. Digit 2 1 5 7 . 0 7 5 Weight 8 3 8 2 8 1 8 0 Octal Point 8 -1 8 -2 8 -3 2157.075
4-Bit Binary Coded Decimal (BCD)Systems The BCD system is employed by computer systems to encode the decimal number into its equivalent binary number. This is generally accomplished by encoding each digit of the decimal number into its equivalent binary sequence. ■ The main advantage of BCD system is that it is a fast and efficient system to convert the decimal numbers into binary numbers as compared to the pure binary system
◼ The BCD system is employed by computer systems to encode the decimal number into its equivalent binary number. ◼ This is generally accomplished by encoding each digit of the decimal number into its equivalent binary sequence. ◼ The main advantage of BCD system is that it is a fast and efficient system to convert the decimal numbers into binary numbers as compared to the pure binary system. 4-Bit Binary Coded Decimal (BCD) Systems