-1/4, n = -2 -1/2, n = -1 Q1: Find the DTFT of x(n) 1/2, n = 1 Graph the magnitude and the phase of the transform. 1/4, n = 2 0, otherwise

A digital circuit accepts four inputs, A, B, C, and D, that together represent a month in binary. The circuit has three outputs, X, Y, and Z, each represents the number of days in a month, 28 days, 30 days, and 31 days. For other invalid months, the circuit should output zero. Show the truth table, the simplification process using Karnaugh map, and the circuit!

A. Find the Laplace Transform of the following: 1. t3 – 3t2 + 5t – 8 2. sin 2t +cos 3t 3. 2e3t sin 2t - 3e3t cos 2t 4. e-t cos 3t + e6t – 1 5. 2t?e-t – t + cos 4t

6. For the truth table below, write its Boolean expression in canonical SOP form, then draw the circuit. Using the Boolean algebra rules, simplify the circuit (do NOT use a K-map) to a simpler SOP form and draw that SOP circuit. X 1 1 1 1 1 1 1 1 1 1 1 1 1 1

Perform the analysis of the following circuit and complete the following truth-table. ov U1A 7U1B /U1c L1 U2A U3C U3A 7u1D U2D U2B U3B U3D U20 A B C L1 L2 1 1 1 1 1 1 1 1 1 1 1 1

Find the complement of the Boolean function F = A ′ B C ′ + A ′ B ′ C .

matlab code please

PLEASE HELP

Use boolean algebra to simplify this expression

Use Boolean algebra to find the simplified circuit below: F (A, B, C) = AB+A΄B΄C΄+A΄BC΄ Use a Karnaugh map to find the minimum (SOP) form for the expression: F (A, B, C) = AB+A΄B΄C΄+A΄BC΄