Question 13 of 17intermediate💡 UnderstandShort Answer2 marks

Let X be a number system having B symbols only. Write down the base value of this number system.

Correct Answer

The base value of number system X is B.

Every number system has a set of unique characters or literals. The count of these literals is called the radix or base of the number system. Since the number system X has exactly B symbols, the count of literals is B, making the base value equal to B.

This is similar to how the hexadecimal number system has 16 literals (0-9, A-F), and therefore its base value is 16.

Exercise: EXERCISE | Q: 13 | (Page 18)
For More Understanding

Explanation

The textbook explicitly defines the base (radix) of a number system as 'the count of these literals.' Since number system X has B symbols, its base value is B. This is a direct application of the definition provided in the context.

Solution Steps

  1. Step 1: Recall that the base of a number system equals the count of its unique symbols/literals.

  2. Step 2: Since number system X has B symbols, its base value is B.

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