converted and written as an unsigned binary (base 2) = ?

- division = quotient +
**remainder**; - 57 494 ÷ 2 = 28 747 +
**0**; - 28 747 ÷ 2 = 14 373 +
**1**; - 14 373 ÷ 2 = 7 186 +
**1**; - 7 186 ÷ 2 = 3 593 +
**0**; - 3 593 ÷ 2 = 1 796 +
**1**; - 1 796 ÷ 2 = 898 +
**0**; - 898 ÷ 2 = 449 +
**0**; - 449 ÷ 2 = 224 +
**1**; - 224 ÷ 2 = 112 +
**0**; - 112 ÷ 2 = 56 +
**0**; - 56 ÷ 2 = 28 +
**0**; - 28 ÷ 2 = 14 +
**0**; - 14 ÷ 2 = 7 +
**0**; - 7 ÷ 2 = 3 +
**1**; - 3 ÷ 2 = 1 +
**1**; - 1 ÷ 2 = 0 +
**1**;

converted from decimal system (from base 10)

and written as an unsigned binary (in base 2):

- 1. Divide repeatedly by 2 the positive integer number that has to be converted to binary, keeping track of each remainder, until we get a QUOTIENT that is equal to ZERO.
- 2. Construct the base 2 representation of the positive integer number, by taking all the remainders starting from the bottom of the list constructed above. Thus, the last remainder of the divisions becomes the first symbol (the leftmost) of the base two number, while the first remainder becomes the last symbol (the rightmost).

- 1. Divide repeatedly 55 by 2, keeping track of each remainder, until we get a quotient that is equal to zero:
- division = quotient +
**remainder**; - 55 ÷ 2 = 27 +
**1**; - 27 ÷ 2 = 13 +
**1**; - 13 ÷ 2 = 6 +
**1**; - 6 ÷ 2 = 3 +
**0**; - 3 ÷ 2 = 1 +
**1**; - 1 ÷ 2 = 0 +
**1**;

- division = quotient +
- 2. Construct the base 2 representation of the positive integer number, by taking all the remainders starting from the bottom of the list constructed above:

55_{(10)}= 11 0111_{(2)} -
#### Number 55

_{10}, positive integer (no sign), converted from decimal system (base 10) to unsigned binary (base 2) = 11 0111_{(2)}

### 1.1. Unsigned integer -> Unsigned binary

### 1.2. Signed integer -> Signed binary

### 1.3. Signed integer -> Signed binary one's complement

### 1.4. Signed integer -> Signed binary two's complement

### 2.1. Decimal -> 32bit single precision IEEE 754 binary floating point

### 2.2. Decimal -> 64bit double precision IEEE 754 binary floating point

### 3.1. Unsigned binary -> Unsigned integer

### 3.2. Signed binary -> Signed integer

### 3.3. Signed binary one's complement -> Signed integer

### 3.4. Signed binary two's complement -> Signed integer