Which of the following representations in two's complement notation represents the smallest value?
A) 00000010
B) 11110000
C) 00000001
D) 11111111

Question

Quizplus · Accepted Answer

In two's complement notation, the leftmost bit represents the sign of the number, with 0 indicating a positive number and 1 indicating a negative number. In D, all bits are 1, indicating a negative number. In two's complement notation, the smallest (most negative) number is represented by having a 1 in the leftmost bit and all other bits are 0, which is exactly what D represents. Therefore, D represents the smallest value.

Which of the Following Representations in Two's Complement Notation Represents