Question

What is the value of (10101)2 in decimal number system?

Answer 1

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Answer 2

Answer:

$(10101)_2=(21)_{10}$

Step-by-step explanation:

Given : Number  $(10101)_2$

To find : What is the value of  $(10101)_2$ in decimal number system?

Solution :

Decimal number system is a positional numeral system employing 10 as the base.

Now, to convert it into base 10

Multiply each digit of the following binary by the corresponding power of 2:

$(10101)_2$

$=1\times 2^4+0\times 2^3+1\times 2^2+0\times 2^1+1\times 2^0$

$=1\times 16+0\times 8+1\times 4+0\times 2+1\times 1$

$=16+0+4+0+1$

$=21$

Therefore,  $(10101)_2=(21)_{10}$