Which of the following bit patterns represents the value 5 in two's complement notation?
A) 00011010
B) 11111011
C) 00000101

Question

Quizplus · Accepted Answer

In two's complement notation, the leftmost bit represents the sign of the number (0 for positive, 1 for negative). The remaining bits represent the magnitude of the number. To find the two's complement representation of a positive number, we simply write the binary representation of the number and add 0's to the left so that the number has the desired number of bits. In this case, we want a 5-bit representation, so we write 5 as 00101 and add a leading 0 to get 00000101. To find the two's complement representation of a negative number, we first take the one's complement (flip all the bits) and then add 1. Since 5 is positive, we simply use the positive representation, which is 00000101.

Which of the Following Bit Patterns Represents the Value 5