2) Trace the following program MOV BX, 708ЕН MOV AX, BX MOV CX, 4802н OR BL, BH XOR BL, AH SHL BL, 01H NOT AH AND AL, 93H SAR BH, CL ROL AL, 01H RCR AH, CL
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- Express each of the following function as a sum of minterms and as a product of maxterms F = x′z + w′xy′ + w(x′y + xy′) F = ACD’ + C’D + AB’ + ABCDexplain clearly 3. Express the following function as a sum of minterms and as a product of maxterms: (a)F(A,B,C,D)=B′D+A′D+BD (b)x′+x(x+y′)(y+z′)Define upper bound. If f(n) = 3n * 5 for what values of C and n this function is said to be upper bounded.
- Please use my syn.sin.m code to answer 4.2.3. Also, please answer the explanation for the last part function [xx, tt] = syn_sin(fk, Xk, fs, dur, tstart) %SYN_SIN - Function to synthesize a sum of cosine waves % usage: [xx, tt] = syn_sin(fk, Xk, fs, dur, tstart) % fk = vector of frequencies % Xk = vector of complex amplitudes: Amp*e^(j*phase) % fs = number of samples per second for the time axis % dur = total time duration of the signal % tstart = starting time (default is zero if not provided) % xx = vector of sinusoidal values % tt = vector of times for the time axis % Check if tstart is provided, otherwise set it to zero if nargin < 5 tstart = 0; end % Check if fk and Xk have the same length if length(fk) ~= length(Xk) error('Length of frequencies (fk) and amplitudes (Xk) must be the same.'); end % Generate time vector tt = linspace(tstart, tstart + dur, dur * fs); xx = zeros(size(tt)); % Loop through frequencies and add sinusoidal components for k = 1:length(fk) xx =…Express the following function as a sum of minterms and as a product of maxterms:F(A, B, C, D) = BD + AD + BDSimplify the following Boolean functions by first finding the essential prime implicants (Please indicate the essential prime implicants and prime implicants): (a) F(w, x, y, z) = S(0, 1, 2, 4, 5, 6, 8, 10, 13, 15) (b) F(w, x, y, z) = wy’ + xy + y’z + w’xz
- Create the Kmaps and then simplify for the following functions:a) F(x,y,z) = x'y'z' + x'yz + x'yz'b) F(x,y,z) = x'y'z' + x'yz' + xy'z' + xyz'c) F(x,y,z) = y'z' + y'z + xyz'Compute the weakest precondition for each of the following assignmentstatements and postconditions:1. a = 2 * (b - 1) - 1 {a > 0}2. b = (c + 10) / 3 {b > 6}3. a = a + 2 * b - 1 {a > 1}4. x = 2 * y + x - 1 {x > 11}∑ = {C,A,G,T}, L = { w : w = CAjGnTmC, m = j + n }. For example, CAGTTC ∈ L; CTAGTC ∉ L because the symbols are not in the order specified by the characteristic function; CAGTT ∉ L because it does not end with C; and CAGGTTC ∉ L because the number of T's do not equal the number of A's plus the number of G's. Prove that L ∉ RLs using the RL pumping theorem.
- Let f : B 3 → B where f(x, y, z) = (x + z)y.(a) Provide a truth table for the function.(b) Derive the canonical DNF for the function using the truth table.(c) Derive the canonical CNF for the function using the truth table.4. Simplify the following Boolean expressions, using four-variable K-maps: (a) A′B′C′D′+AC′D′+B′CD′+A′BCD+BC′D (b) w′z+xz+x′y+wx′z(Growth of function) Express the following in the terms of Θ notation: (n + a)^ b for any real constants a and b, where b > 0. Please show your work by giving the constants c1, c2, and n0.