The 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.
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The 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.
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- Sometimes "bubbles" are used to indicate inverters on the input lines to a gate. What are the equivalent gates for those shown in the figure below? Hint - use DeMorgan's Law. A B C=A+B (a) D F=DE E (b)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.Exclusive OR (XOR) and Exclusive NOR (XNOR) gates can be used a. as parity generators b. as parity checkers c. as comparators d. as controlled inverters e. as all of the given answers
- Consider Lookahead Carry Generator circuit . Show how to implement this circuit using minimum number of 4x1 multiplexers and (any number of) inverters (NOT gates). Explain your solution. (you can use logic-1 and logic-0 inputs in your design, if necessary).Implement the function, W using ONE 4-to-1 multiplexer and other logic gates. b) Implement the function, X using ONE 4-to-1 multiplexer and other logic gates. Implement the function, Y using TWO 4-to-1 multiplexer and other logic gates. d) Implement the function, Z using ONE 8-to-1 multiplexer and other logic gates. Table Q1 ВCD Braille A B D W Y 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 A ololO(b) For a gated S-R latch. determine the Q output for the inputs in the following Figure. Show it in proper relation to the enable input, also draw the input waveforms on your answer script. Assume that Q starts LOW. EN S R Minimize the combinational logic circuit in the following figure using Karnaugh's map only. Inverters for the complemented variables are not shown. Q2.
- 6. F in the blanks in the truth table of the given digital circuit NOT Use fer NOT gate egX. Use paranthesis only for combining two logic gates OR and AND e ZOX+Y) er (Y+Z).OX+Y) You can use either XY or X.Y for AND gate. Write the letters in alphabetic orders: eg XY, not YX 1 5Q1. What is the difference between half and full adders? Draw and explain the circuit diagram to show the the addition of two binary numbers 1101 and 1001. Use one half adder and three full adders. Q2. Minimize the combinational logic circuit in the following figure using Karnaugh's map only. Inverters for the complemented variables are not shown. てS てっ二3. 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 + zx
- 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.)Disscussion 1- In OR gate table why 1+ 1 = 1? 2- Explain the basic logic gates, complete three and four input logic gates truth table.. 3- What is the purpose of a truth table and algebraic function? 4-What is the purpose of an inverter in a digital circuit? -5- When is the output of an OR gate HIGH? -6- When is the output of an OR gate LOW? 7- Describe the truth table for a 3-input OR gate.3. 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.