Convert the following binary numbers to decimal:10001

Given :

The given binary number is 10001.

To do :

We have to convert the given binary number to a decimal number.

Solution : 

Conversion of binary number to decimals:

10001 in decimals is,

1. Write down the binary number

10001.

2. Multiply each digit of the binary number by the corresponding power of two

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

3. Solve the powers

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

4: Add up the numbers written above

$16 + 0 + 0 + 0 + 1 = 17$.

Therefore, 10001 in decimals is 17.

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Updated on: 10-Oct-2022

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