Provided a system in discrete domain as, x(n)= {4,5,6,7,7,6,5,4} Determine the DIF using FFT. Answer choices: a. X(k)= {50,-5.28 - j2.404,0, 0.716 - j0.414,0, –0.716+ j0.414, 0, -5.28+ j2.404} b. X(k)= {40,-5.83- j2.414,0, -0.716 – j0.414,0,-0.716 + j0.414,0, -5.83 + j2.414} c. X(k)= {50.-7.82 + j2.414.0, –0.716- j0.414,0, –0.716+ j0.414, 0, –7.82 + j2.414} d. X(k)= {40, –5.82 j2.404.0,-0.716 – j0.144,0,-0.716+ j0.144,0, –5.8284+ j2.404,

What is 5ED4 07A4 when these values represent signed 16- bit hexadecimal numbers stored in sign-magnitude format? Th e result should be written in hexadecimal. Show your work.

O Design a 5-input circuit, that produces a one when numbers (4,5,6,7,12,13,14,15) are detected. Make use of the SOP technique to write the Boolean equation. Simplify the resulting Boolean equation using the laws and theorems of Boolean algebra. Translate the simplified equation into a Circuit Diagram.