5.2 Numbering systems Flashcards
(16 cards)
What are the common number systems and there bases?
Decimal - base10
Binary - base2
Octal - base8
Hexadecimal - base16
What is a base?
A base is equal to the number of values a digit can have
The value of the smallest digit of a numbering system is zero, true or false?
True
how many digits does the decimal system have?
10 which are 0-9
what does LSD and MSD stand for and where are they located?
Least significant digit is on the far right
Most significant digit is on the far left
how many digits does the binary system use?
they use two digits which are 0-1
What is the binary system used for?
Its used in digital electronics
What digit represents “ON”?
1
What digit represents “OFF”?
0
What Values are used in the Hexadecimal numbering system?
0-9 and then first six letters of the alphabet
What are the numbers of the six letters of the Hexadecimal system?
A to F is 10-15
What might Gray codes be used for?
Rotary and optical encoders, Karnaugh maps and error detection
Why may Gray code be used instead of binary?
It is more efficient with rapidly changing values as errors could occur due to hardware and interface constraints
What is the hamming distance for Gray codes?
The hammering distance for Gray codes are always 1
What is the name given to the hammering distance of Gray codes?
Cyclic codes
how many bits are there per word in an Octal system?
3
