Converter Tool

0 characters

Enter a hexadecimal number (0-9, A-F). The '0x' prefix is optional. Choose between unsigned and signed (two's complement) interpretation.

Bits:

0

Type:

Unsigned

Binary Representation:

About Number Systems

Hexadecimal System

The hexadecimal system is a base-16 numbering system that uses 16 distinct symbols. These symbols are 0-9 to represent values zero to nine, and A-F (or a-f) to represent values ten to fifteen.

Hexadecimal to Decimal Conversion Table

Hexadecimal Decimal Hexadecimal Decimal
0 0 8 8
1 1 9 9
2 2 A 10
3 3 B 11
4 4 C 12
5 5 D 13
6 6 E 14
7 7 F 15

Two's Complement

Two's complement is a mathematical operation used to represent negative numbers in binary systems. It is widely used in computing because it simplifies arithmetic operations such as addition and subtraction.

To convert a positive number to its negative counterpart in two's complement:

  1. Convert the number to binary.
  2. Invert all the bits (change 0 to 1 and 1 to 0).
  3. Add 1 to the result of the inversion.

To convert a negative two's complement number back to decimal:

  1. Invert all the bits.
  2. Add 1 to the result of the inversion.
  3. Convert the result to decimal and prefix it with a negative sign.

Example: 8-bit Two's Complement

Positive Number (5):

0000 0101 (binary)

Negative Number (-5):

1111 1010 (inverted bits of 5)

1111 1011 (add 1 = two's complement representation of -5)

Range for 8-bit Two's Complement:

-128 (1000 0000) to 127 (0111 1111)

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