Implement the Boolean function F = x z + x ′ z ′ + x ′ y with (a) NAND and inverter gates, and (b) NOR and inverter gates.
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Implement the Boolean function F = x z + x ′ z ′ + x ′ y with (a) NAND and inverter gates, and (b) NOR and inverter gates.
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- QI: Design a circuit using a distributed connection that will implement the following function using open collector NAND gates. Assume normal Inverters are available. F(A,B,C) = (Ā+B).C+ (B+C).A %3D Signal list F, A, B[NL], C[NL] Q2: Obtain the Boolean function in SOP form and the signal list for the following logic diagram when each of the data book symbol for the NOR gates in the given circuit was replaced by its DeMorgan equivalent symbol. B[NL] C A D- C- 2F A С- A B[NL]Implement the Boolean function F = xy + x’ y’ + y’z (a) With AND, OR, and inverter gates (b) With OR and inverter gates (c) With NOR and inverter gatesThe operation F(W, X, Y, Z) = (!W * !X * !Y * !Z) can be implemented with a single _______________ gate with four input signals and one output signal without an inverter.
- implement the following boolean function with OR and inverter gates F = xy' + x'y + y'zTrue/False A NAND device has two inputs A, B. The output of that NAND device goes through an Inverter, and the result is called R1. In another part of the design, the same two inputs A, B are first input to Inverters, and their inverted logic is then fed into the inputs of a NAND gate, whose output is R2. Question: Will R1 = R2?Study the circuit and determine the need for the 74LS04 inverters at the output of the XOR gates. What are the purposes of these inverters? 5W4 (LSB) DATA SW3 SWITCHES SW2 SWI FROM LOGIC SWITCH A A LSB B 6 13 2 UP A B C COUNT CLR FROM LOGIC 14 SWITCH B 21 4 91 10 12 74193 13 7 D 74L586 9+ 5V 74LS049 +5 V 3 15 142 D 16 31 DIBID ¹8 18 51 > I ill 9 L4 16 41 KS L3 L2 C Da +5V ܬܬܬܬ 14 Dala GND 16 +4 +4 14 12 4 +5V 1/2-74L$20 1/6-74LS04 --- 10 DC VOLTMETER V
- With the following functions use a 4:1 multiplexer(mux) and minimum number of extra gates. Remember that to create the inverse of an input variable (i.e., A’, B’, etc.), you need to use an inverter. Hint:remember that you may need to try different variables on the select lines (i.e., A and B, or B and C, or A and C) to find the solution with the minimum number of extra gates. Implement each of the functions from from the above question using a 2:1 multiplexer(mux) and a minimumnumber of extra gates. Hint:remember that you may need to try different variables (i.e., A or B or C) on the select line to find the solutionwith the minimum number of extra gates. please explain in detail with a truth table as well as the schematics using a MUX.Simplify the following Boolean Function using K-map: F(a, b, c) = E(0,1,5,6,7) and implement the above function (a) With logic gates (AND, OR, Inverters) (b) With NAND gates (c) With NOR gatesProblem #2: Consider the given design below: A D₂ B D₁ C-Do m7 m6 m5 3-to-8 m4 Decoder m3 m₂ m₁ mo F 1. Re-implement function F(A,B,C) using the minimum number of 4-to-1 MUX. Other gates (inverter, OR, etc) are not allowed. Complemented inputs (A’, B', C') are also not allowed, and will have to be implemented using MUX.
- 3. Logic Design a. Create the truth table of a 3-input AND gate. Realize the 3-input AND operation using only 2-input NOR gates. b. Create the truth table of a 3-input OR gate. Realize the 3-input OR operation using only 2- input NAND gates. c. Using AND and OR logic gates, implement the logic function: F(x, y, z) = xy + yz + zx d. Using NAND logic gates, implement the logic function: F(x, y, z) = xy + yz + zx3. Implement switching function F (A, B, C) = A'B C' + B'C + AB' with a 4-to-1 multiplexer: show your assignment A, B, C. to data inputs (D3, D2, D1, DO) and select inputs (S1, SO) of the 4-to-1 multiplexer. A single inverter is available if needed. Obtain the circuit schematic using the 4-to-1 mux and an inverter as building blocks.1. Floating Point Numbersa. Show the difference between IEEE 16, 32, 64, 128-bit floating-point numbers.b. Express the following numbers in hexadecimal IEEE 32-bit floating-pointformat. i. 320ii. -622. Design a circuit that implements function p below using AND, OR, and NOT gates.DO NOT change the form of the equation. ?(?0, ?1, ?2, ) = {?2(?0?1 + ?̅0?̅1)}. (?̅2 + ?̅1)4. Show how the unsigned serial multiplication method would compute M × Q where M = 10110and Q = 01101. M and Q are unsigned numbers. For each step, describe in words what is happening (shift left, shift right, add/subtract M or Q into product, set a bit, etc.), and showthe product (or partial product) for that step. (Note: Q is the multiplier and M is themultiplicand.)