Binary Two's Complement Converter
Use the Binary Two's Complement Converter to convert binary numbers into their decimal, one's complement, and two's complement forms.
The conversion process involves interpreting the binary input as a numerical value in base-2 and converting it to base-10.
The one's complement is obtained by flipping all the bits in the binary number (changing all 0s to 1s and all 1s to 0s).
The two's complement is calculated by taking the one's complement of the binary number and adding 1 to the least significant bit. This representation is widely used in computing to handle signed integers.
Binary Two's Complement Converter
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Calculator
- enter your binary number in the designated field. Make sure to enter a valid binary number without any fractions.
- choose the bit length for the conversion from the dropdown menu. Options include 8-bit, 16-bit, 32-bit, 64-bit, or a custom bit length.
Results
- the decimal (base-10) equivalent of the entered binary number
- the one's complement of the entered binary number
- the two's complement of the entered binary number
This tool is helpful for students, educators, and professionals who need to understand and perform binary calculations. Providing step-by-step explanations ensures a thorough grasp of the conversion process.
Example Conversions
Convert -1101 to a decimal and the one's and two's complement binary with an 8-bit representation.
Decimal Conversion: Remove the - sign and convert the binary number 1101 to decimal: 1101 = (1 * 23) + (1 * 22) + (0 * 21) + (1 * 20) = (1 * 8) + (1 * 4) + ( 0 * 2) + (1 * 1)= 8 + 4 + 0 + 1 = 13 Since the original number had a negative sign, we'll add it to the decimal equivalent, -13. The decimal representation of -1101 is -13. Original Binary: -00001101 in 8 bits representation. One's Complement: One's complement is obtained by flipping all the bits. One's Complement: 11110010 Two's Complement: To get the two's complement, we add 1 to the one's complement. One's Complement: 11110010 add 1 = 11110011 The binary number -1101 in 8-bit representation:
The decimal value: 13 One's complement binary: 11110010 Two's complement binary: 11110011
Convert 1101 to a decimal and the one's and two's complement binary with an 8-bit representation.
Decimal Conversion: 1101 = (1 * 23) + (1 * 22) + (0 * 21) + (1 * 20) = (1 * 8) + (1 * 4) + ( 0 * 2) + (1 * 1)= 8 + 4 + 0 + 1 = 13 The decimal representation of 1101 is 13 Since 0000 1101 is a positive number, both the one's complement and two's complement will be the same as the binary input. One's Complement: One's complement binary: 0000 1101, it's the same as the binary input. Two's Complement: Two's complement binary: 00001111, it's the same as the binary input. The binary number 1101 in 8-bit representation:
The decimal value: 13 One's complement binary: 00001111 Two's complement binary: 00001111