## 1.7 Converting Decimal Numbers into Binary

1.7 Converting Decimal Numbers into Binary

To convert a decimal number into binary, divide the number repeatedly by 2 and take the remainders. The first remainder is the least significant digit (LSD), and the last remainder is the most significant digit (MSD).

### Example 1.3

Convert decimal number 2810 into binary.

### Solution 1.3

Divide the number into 2 repeatedly and take the remainders:

```28/2 ? 14 Remainder 0 (LSD) 14/2 ? 7  Remainder 0 7/2  ? 3  Remainder 1 3/2  ? 1  Remainder 1 1/2  ? 0  Remainder 1 (MSD)```

The binary number is 111002.

### Example 1.4

Convert decimal number 6510 into binary.

### Solution 1.4

Divide the number into 2 repeatedly and take the remainders:

```65/2 ? 32 Remainder 1 (LSD) 32/2 ? 16 Remainder 0 16/2 ? 8  Remainder 0 8/2  ? 4  Remainder 0 4/2  ? 2  Remainder 0 2/2  ? 1  Remainder 0 1/2  ? 0  Remainder 1 (MSD)```

The binary number is 10000012.

### Example 1.5

Convert decimal number 12210 into binary.

### Solution 1.5

Divide the number into 2 repeatedly and take the remainders:

```122/2 ? 61 Remainder 0 (LSD) 61/2  ? 30 Remainder 1 30/2  ? 15 Remainder 0 15/2  ? 7  Remainder 1 7/2   ? 3  Remainder 1 3/2   ? 1  Remainder 1 1/2   ? 0  Remainder 1 (MSD)```

The binary number is 11110102.

Оглавление книги

Генерация: 0.547. Запросов К БД/Cache: 2 / 0
поделиться
Вверх Вниз