=> from the above circuit, we can observe that output production is a NAND GATE so, the output will be in a form of minterm
=> the symbol for minterm is
====>
and we can observe that there are two more gates of NOR GATES
the first NOR gate input pin is = (0,5)
and the second NOR GATE input pin is = (2,7)
=> so the output will be =
What is the function F(X,Y,Z) implemented by the decoder below note: The decoder produces minterms aaaaaaaa...
The following logic function is given as a sum of minterms F(W,X,Y,Z) = ∑W,X,Y,Z(2,7,10,13,14) + d(5,6,15) a) Draw the K-map for the given function F. b) What is the minimized SOP equation? c) Give all input pairs in the form of WXYZ where a transition between them would create a timing hazard. d) Draw the timing diagram showing the hazard for one of the cases. Assume ALL gate delays are equal. e) Provide the expression of an equivalent logic function...
What is the Boolean function of B(x,y,z) that implemented by the following PAL diagram? | x x y y z z റാംമ്മ L All fuses intact always = 0 X Fuse intact + Fuse blown x x y y z z 0 (y'+z') (x'+z)-(x+z') 0 y'z'+x'z+Xz' 0 (y'+z)-(x'+z)-(x+z') 0 y'z+x'z+xz'
Q31 For the figure shown below W is an input, (X, Y and Z) are connected to (S2, S and So), find the Boolean function F (W, X, Y, Z) in SOP and implement it use: 1. Multiplexer: One-piece (4 to 1) and external gates (W, X are selectors). 2. Decoder: Five (2 to 4) with AND gate. 0 1 8 to 1 MUX Do D, F OP D, S S S 35 Marks] X Y Z
Q31 For the...
1. (8 points) Obtain a minimal SOP form for the boolean function f(x,y,z,w) implemented by logic network below. Compare the gate count and number of gate inputs in your minimal SOP expression with those for the network below. f(x,y,z,w)
3. f[x,y,z] = minterms [0,1,5,6] a. show on a Venn Diagram b. show on a truth table c. draw a circuit for it
Consider the function below. y z= 2+x+ (a) Match the function with its graph (labeled A-F). (b) Match the function with its contour map (labeled 1-VI). O V VI Give reasons for your choices. Select- Also, the values of z approach 0 as we use This function is not periodic, ruling out the graphs in (b) Match the function with its contour map (labeled I-VI) II III IV V VI Give reasons for your choices. This function is not periodic,...
Problem 1 Let gi(x, y, z)-y, 92(x, y, z)z and f(x, y, z) is a differential function We introduce F(x, y, z, A, )-f(x, y, z) - Xgi(x, y, z) - Hg2(x, y, 2). ·Show that the Lagrange system for the critical points off with constraints gi (x, y, z) = 92(x,y, z)0: F(zo, yo, 20, λο, μο)-(0, 0, 0, 0, 0) is equivalent to the one-dimensional critical point equation: df dr(ro, 0, 0) = 0, 30 = 20 =...
Show how to implement a 5x32 decoder using smaller 3x8 and 2x4 decoders shown below. Label the minterms the resulting 5x32 decoder generates given that the inputs are (x, y, z, t, w) in this order. 0 0 1 1 2x4 lo lo 2 3 2 3 1 11 3x8 4 12 5 6 7
The joint probability density function of the random variables X, Y, and Z is (e-(x+y+z) f(x, y, z) 0 < x, 0 < y, 0 <z elsewhere (a) (3 pts) Verify that the joint density function is a valid density function. (b) (3 pts) Find the joint marginal density function of X and Y alone (by integrating over 2). (C) (4 pts) Find the marginal density functions for X and Y. (d) (3 pts) What are P(1 < X <...
using discrete structures
3. Consider the function F(x, y, z) for x, y, z z 0 defined as follows: a. F(x, y, 0)-y+1 b. F(x, 0, 1)-x c, F(x, 0, 2) = 0 d. F(x, 0, z+ 3)-1 e. F(x, y, z)-F(x, F(x, y-1, z), z-1) Using Induction, prove the following a. F(x, y, 1)-x +y b, F(x, y, 2) = xy c. F(x, y, 3)-xy
3. Consider the function F(x, y, z) for x, y, z z 0 defined...