Question

21. Each position of decimal number system represents a specific power of the
(a) Base 2 (b) Base 8 (c) Base 10 (d) Base 16
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Answer 1

Answer:

● Each position of decimal number system represents a specific power of the Base 10.

Answer 2

Each position of decimal number system represents a specific power of the (c) Base 10.

Explanation:

• The value of a number with a base is called number system.
• A number can be represented uniquely based on the base value.
• Decimal number system, Binary number system, Octal number system and Hexadecimal number system are the different kinds of number system.
• The standard system that represents integer and non-integer numbers are called decimal number system.
• Decimal number system uses the numbers from 0 to 9, that is it uses 10 digits and hence it has base 10.
• In decimal number system, it represents the position of a number.
• From the left of the decimal point, the position is represented as units, tens, hundreds etc..
• Thus, each position has a power of base 10.
• For example, the decimal number 123.0 has 3 in the units place, 2 in the tens place and 1 in the hundreds place.
• Thus it can be written as, (1×100)+(2×10)+(3×1).
• Hence, when simplified it gives, 100+20+3=123.