Algebra Examples

$10_{2}$

Step 1

Multiply each digit of $10$ by a power of $2$ . Starting from the right, it will be $2^{0}$ . Add these terms together.

$1 \cdot 2^{1} + 0 \cdot 2^{0}$

Step 2

Multiply and add terms.

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Step 2.1

Simplify each term.

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Step 2.1.1

Multiply $2^{1}$ by $1$ .

$2^{1} + 0 \cdot 2^{0}$

Step 2.1.2

Evaluate the exponent.

$2 + 0 \cdot 2^{0}$

Step 2.1.3

Anything raised to $0$ is $1$ .

$2 + 0 \cdot 1$

Step 2.1.4

Multiply $0$ by $1$ .

$2 + 0$

Step 2.2

Add $2$ and $0$ .

$2$