8. Given f(w, x, y, z) = II(0, 1, 3,5, 13), a) Write the complete truth table for Y = f(w, x, y, z). b) Draw the POS logic circuit. c) Write Y f(w, x, y, z) in POS Standard form. %3D
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- 8. Given f (w,x, y, z) a) Write the complete truth table for Y = f(w, x, y, z). b) Draw the POS logic circuit. c) Write Y = f(w, x, y, z) in POS Standard form. d) Write Y = f(w, x, y, z) in SOP form. e) Draw the SOP logic circuit. f) Write Y = f(w, x, y, z) in SOP Standard form. = II(0, 1, 3, 5, 13), %3D8. Given f (w, x, y, z) a) Write the complete truth table for Y = f(w, x, y, z). b) Draw the POS logic circuit. c) Write Y = f(w, x, y, z) in POS Standard form. d) Write Y = f(w, x, y, z) in SOP form. e) Draw the SOP logic circuit. f) Write Y = f(w, x, y, z) in SOP Standard form. = [I(0, 1,3, 5, 13),8. Given f (w, x, y, z) TI(0, 1, 3, 5, 13), al late ---- d) Write Y = f(w, x, y, z) in SOP form. e) Draw the SOP logic circuit. f) Write Y = f(w, x, y, z) in SOP Standard form.
- 8. Given f (w, x, y, z) TI(0, 1, 3, 5, 13), a H truth to1 Comal orm. d) Write Y = f(w, x, y, z) in SOP form. e) Draw the SOP logic circuit. f) Write Y = f(w, x, y, z) in SOP Standard form.Boolean Function F(A,B,C,D) = { m (1,2,5,8,11,15), don't cares d(A,B,C,D) = { m (3,10) a. Using a K-map simply F in S.O.P. form b. Draw the logic circuit c. Using a K-map simply F in P.O.S. form d. Draw the logic circuit e. Which form has a lower gate input cost?8. Given f (w, x, y, 2) = I(0, 1,3,5, 13), a) Write the complete truth table for Y f(w, x, y, z). b) Draw the POS logic circuit. c) Write Y = f(w, x, y, z) in POS Standard form. d) Write Y f(w, x, y, z) in SOP form. e) Draw the SOP logic circuit. f) Write Y f(w, x, y, z) in SOP Standard form.
- Design circuit that has an input w and an output z. The circuit is a sequence detector that produces z = 1 when the previous two values of w were 00 or 11; otherwise z = 0. Use W=0101100010101110101011100010 a) For this problem design the circuit using JK flipflops, draw the state diagram, true table, logic circuit.A majority gate is a digital circuit whose output is 1 only if the majority of inputs are 1 otherwise the output is 0 for all other cases. Design a combinational logic circuit for 4-input majority gate. a. Construct the Truth table. b. Minimize POS Expression using K MAP c. Draw the combinational circuit for minimize POSGiven the below terms of the logic expression. F(A, B, C, D) = (2,4,7,10,12); d(A, B, C, D) = (0,6,8) 1. Obtain the KMAP to get minterms and maxterms. 2. Provide the Simplified Boolean Function. (Example: F = A) 3. Generate the Logic Diagram of the Simplified Boolean Function.
- 1. Given the Boolean expression (b + d)(a’+ b’ + c),a. Convert the expression to the other standard form. What do you call this standard form?b. Derive its canonical form. What do you call this canonical form?c. Derive the other canonical form. What do you call this canonical form?d. Provide the truth table of the expressione. Draw the logic circuit diagrams of the 2 standard formsWe need a logic circuit that gives a high output if a given hexadecimal digit is 4, 6, C, or E. The inputs to the logic circuit are the bits B 8, B 4, B 2 and B 1 of the binary equivalent for the hexadecimal digit. (The MSB is B 8 and the LSB is B 1 ) .Construct the Karnaugh map and write the minimized SOP and POS expressions for X.4. A combinational logic circuit that compares between two 2-bit numbers A (AI A0) and B (B1 B0) is designed. Output F is high when A > B and low when A < B. a. Are there any conditions which cause none of the outputs to be asserted? If the conditions exist, what are the inputs? b. Derive the truth table and obtain the maxterm notation for the output. c. Obtain the minimized POS expression of the logic circuit. d. Draw the logic circuit using basic gates.