Question

The 16-bit hexadecimal numbers representing signed integers are to be converted to decimal. What is the decimal equivalent of 0x7FF?

a) 2047
b) 1023
c) -2048
d) -1024

Answer 1

To convert a signed 16-bit hexadecimal number to decimal, we determine if the number is positive or negative. In the case of 0x7FF, the number is positive and the magnitude is 2047.

Step-by-step explanation:

To convert a signed 16-bit hexadecimal number to decimal, we need to determine if the number is positive or negative.

In a signed 16-bit representation, the leftmost bit is the sign bit. If it is 0, the number is positive, and if it is 1, the number is negative.

The remaining bits represent the magnitude of the number.

In the case of the hexadecimal number 0x7FF, the sign bit is 0, indicating that the number is positive.

The remaining bits, 7FF, represent the magnitude.

To convert the magnitude to decimal, we can simply convert the hexadecimal number to its decimal equivalent. 0x7FF is equivalent to 2047 in decimal.

Therefore, the decimal equivalent of 0x7FF is a) 2047.