Convertors. Base Conversions of Numbers: To / From Binary System From / To Decimal System. Step-by-Step Explanations.

1. Convert positive integer numbers (unsigned) from the decimal system (base ten) to binary (base two)

The latest positive (unsigned) integer numbers converted from decimal system (written in base ten) to unsigned binary (written in base two)

2. Convert signed integer numbers from the decimal system (base ten) to signed binary

The latest signed integer numbers (that are written in decimal system, in base ten) converted and written as signed binary numbers

3. Convert signed integer numbers from the decimal system (base ten) to signed binary one's complement representation

The latest signed integer numbers converted from decimal system (base ten) and written as signed binary in one's complement representation

4. Convert signed integer numbers from the decimal system (base ten) to signed binary two's complement representation

The latest signed integer numbers written in base ten converted from decimal system to binary two's complement representation

5. Convert unsigned binary numbers (base two) to positive integers in the decimal system (base ten)

The latest unsigned binary numbers converted and written as positive integers in decimal system (in base ten)

6. Convert signed binary numbers to integers in decimal system (base 10)

The latest signed binary numbers converted and written as signed integers in decimal system (in base ten)

7. Convert signed binary one's complement numbers to decimal system (base ten) integers

The latest binary numbers in one's complement representation converted to signed integers numbers written in decimal system (base ten)

8. Convert signed binary two's complement numbers to decimal system (base ten) integers

The latest binary numbers written in two\'s complement representation converted to signed integers written in decimal system (in base ten)

9. Convert decimal numbers from base ten to 32 bit single precision IEEE 754 binary floating point standard

The latest decimal numbers converted from base ten to 32 bit simple precision IEEE 754 floating point binary standard representation

10. Convert decimal numbers from base ten to 64 bit double precision IEEE 754 binary floating point standard

The latest decimal numbers converted from base ten to 64 bit double precision IEEE 754 floating point binary standard representation

11. Convert 32 bit simple precision IEEE 754 floating point standard binary numbers to base ten decimal system (float)

The latest 32 bit simple precision IEEE 754 floating point binary standard numbers converted and written as decimal system numbers (in base ten, float)

12. Convert 64 bit double precision IEEE 754 floating point standard binary numbers to base ten decimal system (double)

The latest 64 bit double precision IEEE 754 floating point binary standard numbers converted and written as decimal system numbers (in base ten, double)

Conversions Between Decimal System Numbers (Written in Base Ten) and Binary System Numbers (Base Two and Computer Representation):

1. Integer -> Binary

• 1.1. Unsigned integer -> Unsigned binary

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  1.2. Signed integer -> Signed binary

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

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

2. Decimal -> Binary

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

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

3. Binary -> Integer

• 3.1. Unsigned binary -> Unsigned integer

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  3.2. Signed binary -> Signed integer

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

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

4. Binary -> Decimal

• 4.1. 32bit single precision IEEE 754 binary floating point -> Float

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  4.2. 64bit double precision IEEE 754 binary floating point -> Double