## Task 4 - V00904

For a series of technical applications, e.g., for computing with electronic calculators, it is necessary to express numbers in the binary system (dual system), i.e., as a sum of powers of the number 2. Express the number 413 in the binary system!

Use the following guide!

$$
270=1 \cdot 2^{8}+0 \cdot 2^{7}+0 \cdot 2^{6} \quad+0 \cdot 2^{5} \quad+0 \cdot 2^{4} \quad+1 \cdot 2^{3} \quad+1 \cdot 2^{2} \quad+1 \cdot 2^{1} \quad+0
$$

| 1 | 0 | 0 | 0 | 0 | 1 | 1 | 1 | 0 |
| :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- | :--- |
| $\mathrm{~L}$ | 0 | 0 | 0 | 0 | $\mathrm{~L}$ | $\mathrm{~L}$ | $\mathrm{~L}$ | 0 |
Solution: $413=[110011101]_{2}$