Question

Convert the following decimal numbers to 8-bit two's complement binary form:

2

Answer 1

The 8-bit two's complement binary representation of 2 is 00000010.

Step-by-step explanation:

To convert a decimal number to its two's complement binary form, follow these steps:

• If the decimal number is positive, convert it to binary using the standard method.
• If the decimal number is negative, take the absolute value of the decimal number and convert it to binary using the standard method. Then, add a '1' to the most significant bit (MSB) of the binary representation. Finally, reverse the binary string to get the two's complement representation.

In this case, the decimal number 2 is positive. Therefore, we can convert it to binary using the standard method. The binary representation of 2 is 10. Since the decimal number is positive, we do not need to add a '1' to the MSB or reverse the binary string. Therefore, the 8-bit two's complement binary representation of 2 is 00000010.

Decimal number Binary representation Two's complement binary representation

2 10 00000010