Question

Convert the following signed binary number to a decimal value: 1111 0000 0001 1001

A) -4857

B) -33223

C) 633

D) -633

Answer 1

To convert the signed binary number 1111 0000 0001 1001 to decimal, invert the bits, add one to get the magnitude in binary, convert that to decimal to get 3847, and add a negative sign since the original number is negative. The correct decimal representation is -3847, which is not one of the provided options.

Step-by-step explanation:

The question asks to convert the signed binary number 1111 0000 0001 1001 to its decimal equivalent. To determine the decimal value, we first note that this is a 16-bit signed binary number where the most significant bit (MSB) represents the sign bit. Since the MSB is 1, the number is negative. To find its magnitude, we take the two's complement of the binary number.