Question

The number system which uses alphabets as well as numbers is:
(a) Binary Number System
(b) Octal Number System
(c) Decimal Number System
(d) Hexadecimal Number System

Answer 1

Hint: First, before proceeding for this, we must know the number system mentioned in the options to get the idea of the number systems. Then, we will get the definitions and conditions of all the number systems mentioned in the options. Then, by using those conditions, we get the desired number system.

Complete step-by-step answer:
In this question, we are supposed to find the name of the number system which uses alphabets as well as numbers.
So, before proceeding for this, we must know the number system mentioned in the options to get the idea of the number systems.
So, starting with the first option which is Binary number system whose names suggest that it contains only two numbers which gives its base or radix as 2 and the two numbers represented by Binary number system is 0 and 1.
Then, we move towards the next option which is the octal number system in which the base or radix is 8 and it contains 8 numbers from the range 0 to 7 as (0, 1, 2, 3, 4, 5, 6, 7).
Then, next option gives the number system as decimal number which is most commonly used number system in our daily life which has the base or radix of 10 which means it contains 10 numbers from the range 0 to 9 as (0, 1, 2, 3, 4, 5, 6, 7, 8, 9).
Then, at last we have a hexadecimal number system which is mostly used in computers and has the base or radix as 16 which means that it contains 16 numbers which has two different ranges, as one from 0-9 and then A-F. Here, we know in the hexadecimal number system, 10 is represented by A, 11 by B, 12 by C and so on.
So, we get the number system which uses alphabets as well as numbers as the Hexadecimal Number System.
So, the correct answer is “Option d”.

Note: Now, to solve these types of questions we need to know basic information about base or radix which is the number of unique digits, including the digit zero, used to represent the numbers.
Moreover, these four are the basic types of number system, but we can construct a number system with any base of our choice.