what is the base of Decimal, Binary, Octal and Hexadecimal number system?
Answers
Answer:
Decimal Number System have base 10 ( digits 0 to 9 ) .
Binary Number System have base 2
( digits 0 and 1 ) .
Octal Number System have base 8 ( digits 0 to 7 ) .
Hexadecimal Number System have base 16 ( digits 0 to 9 and alphabets A to F which are represented as 11 to 16 ) .
Answer:
Base 10 (Decimal) — Represent any number using 10 digits [0–9]
Base 2 (Binary) — Represent any number using 2 digits [0–1]
Base 8 (Octal) — Represent any number using 8 digits [0–7]
Base 16(Hexadecimal) — Represent any number using 10 digits and 6 characters [0–9, A, B, C, D, E, F]
In any of the number systems mentioned above, zero is very important as a place-holding value. Take the number 1005. How do we write that number so that we know that there are no tens and hundreds in the number? We can’t write it as 15 because that’s a different number and how do we write a million (1,000,000) or a billion (1,000,000,000) without zeros? Do you realize it’s significance?
First, we will see how the decimal number system is been built, and then we will use the same rules on the other number systems as well.