5.2 - Numbering systems Flashcards
What is base10
Decimal
What is base2
Binary
What is base8
Octal
What is base16
Hexadecimal
What are the digits of base10
0 to 9
What are digits of base2
0 and 1
What are the digits of base8
0 to 7
What are the digits of base16
0 to F
What is the LSD?
Least Significant Digit
What is the MSD?
Most Significant Digit
Where is the LSD
The digit to the far right of a number
Where is the MSD
The digit at the far left of a number
How do you write Binary Coded Decimal (BCD)
Converted digit by digit
What is a shorthand method of representing three bit binary words
The octal system
How do you convert Decimal to Binary?
Divide by two and write the remainder. Bottom never is the MSB
How do you convert Binary to Decimal?
You add the base10 values
10111 = 23
How do you convert Octal to Hexadecimal?
There is no direct conversion. You have too:
- Convert Octal to Binary
- Convert binary to Octal
How do you convert Octal to Binary
Each Octal digit is converted to a 3 bit binary equivalent
How do you convert Binary to Hexadecimal
You group the Binary bits into bits of fours starting on the right
