Decimal to One's and Two's Complement Binary

Decimal to One's and Two's Complement Binary

Convert decimal numbers into binary representations, focusing on the one's complement and two's complement representations.

One's Complement: For positive decimal numbers, the one's complement is identical to the binary representation of the number. Negative numbers involve flipping all the bits of the positive binary representation.

Two's Complement: For positive decimal numbers, the two's complement is identical to the binary representation of the number. For a negative decimal input it involves adding 1 to the least significant bit of the one's complement

Decimal to One's and Two's Complement Binary Converter

Enter a decimal number
Number of Bits:

Results:

Decimal to Binary
One's Complement Binary
Two's Complement Binary

Calculator

  • input the decimal number you want to convert.
  • choose the number of bits for the binary representation

Results

  • the base 10 number converted to a binary number
  • the one's complement binary representations of the decimal number
  • the two's complement binary representations of the decimal number

For the decimal number 3, the one's complement and two's complement representations will be 0000 0011.
For the decimal number -3, the one's complement is 1111 1100, and the two's complement representations will be 1111 1101.

Example Conversion

Convert -15 to one's complement and two's complement binary representations with an 8-bit representation.

Converting to Binary:
Decimal input: -15
Binary representation of |15| = 00001111 (8 bits)
One's Complement:
For one's complement, we flip all the bits of the binary representation.
Flipped bits: 11110000
One's complement binary: 11110000
Two's Complement:
We add 1 to the one's complement binary representation to get the two's complement.
One's complement binary: 11110000
Add 1: 11110000 + 1 = 11110001
Two's complement binary: 11110001
For the decimal number -15 in 8-bit representation:

One's complement binary: 11110000
Two's complement binary: 11110001


Convert 15 to one's complement and two's complement binary representations . (8 bits)
Converting to Binary:
Decimal input: 15
Binary representation: 00001111 (8 bits)
Since 15 is a positive number, both the one's complement and two's complement will be the same as the binary representation.
One's Complement:
One's complement binary: 00001111, it's the same as the binary representation for positive numbers
Two's Complement:
Two's complement binary: 00001111, it's the same as the binary representation for positive numbers.
The decimal number 15 in 8-bit representation:

One's complement binary: 00001111
Two's complement binary: 00001111

Decimal System (Base-10) Calculators

Base Conversions:

Fraction and Mixed Number Operations:

Math Operations:

Number Theory:


Decimal (Base-10) Binary (Base-2) Octal (Base-8) Hexadecimal (Base-16)
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