Logic 2: Number Systems Flashcards
Are based in unit, numbers, and base
Number Systems
The base of the number
Radix
The digit with the highest weight in the number
Most Significant Bit (MSB)
The digit with the lowest weight in the number
Least Significant Bit (LSB)
The most commonly used number system
Decimal
The number system used in digital information representation
Binary
What are the radix and digits used in Decimal?
Radix: 10, Digits: 0-9
What are the radix and digits used in Binary?
Radix: 2, Digits: 0-1
What are the radix and digits used in Octal?
Radix: 8, Digits: 0-7
What are the radix and digits used in Hexadecimal?
Radix: 16, Digits: 0-9 and A-F
What method is used to convert Octal to Binary
421 Method
What method is used to convert Hexadecimal to Binary
8421 Method
Derived by changing the binary digits from 1 to 0 and 0 to 1
1’s Complement
Derived by adding 1 to the 1’s complement of the binary number
2’s Complement
The use of addition process to perform subtraction of numbers
Complement Subtraction
Derived by subtracting each digit of a decimal number from 9
9’s Complement
Derived by adding 1 to the 9’s complement of a decimal number
10’s Complement
The adding of two values like adding an ordinary binary number
Binary-Coded Decimal (BCD) Addition
What do you add to each set of digits that are invalid BCD values in BCD Addition
0110B
Is 1010B a valid BCD value?
No (1010B = 10D)
