Question

Define one's complement.

a. MSB meaning: Most Significant Bit; value: Represents the sign
b. MSB meaning: Most Special Bit; value: Represents the magnitude
c. MSB meaning: Most Subtle Bit; value: Represents the sign
d. MSB meaning: Most Stable Bit; value: Represents the magnitude

Answer 1

The one's complement of a binary number is created by flipping all the bits. The Most Significant Bit (MSB) indicates the sign of the number in signed binary notation.

Step-by-step explanation:

The one's complement of a binary number is found by changing all the 1's to 0's and all the 0's to 1's. In the context of binary numbers, the Most Significant Bit (MSB) is the bit in the far-left position of the number, which has the highest value. In a signed binary number representation, the MSB also indicates the sign of the number: if the MSB is 0, the number is positive, and if the MSB is 1, the number is negative.

For example, one's complement of the binary number 0101 (which equals 5 in decimal) is 1010, which is -5 in one's complement notation because the MSB is 1 indicating it's a negative value. This process is crucial in computing when performing operations such as subtraction and representing negative numbers.