Which of the following is NOT true of the Hindu-Arabic system of numeration ?

Correct Option: It follows the base 2 system.

Explanation:

To understand why this statement is NOT true, let us analyze the key properties of the Hindu-Arabic system of numeration:

1. Base System (Base 10 / Decimal System):
The Hindu-Arabic numeration system is a positional base 10 (decimal) system, using ten distinct symbols/digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. It does not follow the base 2 (binary) system, which uses only two digits (0 and 1) primarily in digital computing. Therefore, saying that it follows the base 2 system is incorrect (NOT true).

2. Positional Value:
In this system, the position (or place value) of a digit determines its actual value within a number. For instance, in 540, the digit 5 represents 5 hundreds (500).

3. Multiplicative and Additive Nature:
The Hindu-Arabic system is both multiplicative and additive in nature. The value of any number is determined by multiplying each digit by its place value (multiplicative aspect) and adding these products together (additive aspect).
For example, the expanded form of 542 is expressed as:

$542=(5\×100)+(4\×10)+(2\×1)$

Thus, among the given options, "It follows the base 2 system." is the statement that is NOT true regarding the Hindu-Arabic system of numeration.