5) By using Karanough map; Find: 1- The min. SOP for X. 2- The min. POS for X. 3- Draw the logic circuit diagram of step 1 using NAND gates only. 4- Draw the logic circuit diagram of step 2 using NOR gates only. X (A, B, C, D) = E(0, 2, 3, 4, 10, 11, 13, 15), with don't care Y (A, B, C, D) = E( 8, 12, 14)
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- 5- Determine an alternative method for implement the full-adder. Hint: Write the expressions of the circuit and simplify using icarnaugh map.Then implement using AND-OR gates. 6- Design a logic cct using NAND gate and convert BCD code to Excess-3code.F(a,b,c,d)=ab'+c'd'+a'cd' Perform the function in accordance with the following styles using the Karnaugh diagram. Draw each simplification using the corresponding logic gates. a) only or not (NOR) b) and not just (NAND) c) OR-NAND d) AND-NORAn equation in reduced SOP form, is F=AB+B'C+A'C'. I need to draw a logic circuit F using NOT/AND/OR and logoc circuit F using all NAND gates. Thank you for the help. I understood the previous types of gates but I am confused on how to draw these circuits.
- Simplify the expression F = ABCD + AB’CD + A’B’C’D using Karnaugh map method and draw the corresponding simplified logic gate circuit.4. For the NOR gate function shown below a) Write the switching expression for the output, F(A,B,C,D) b) Simplify this switching function so that the only gates involved are AND, OR, and NOT gates. c) Draw the logic diagram of this simplified expression using only AND, OR, and NOT gates. am 1, S..pdf DII PrtScn F8 Home F9 End F10 F3 F4 F5 F6 F7 &We want to design a circuit to detect prime numbers.The input of the circuit is a 4-bit binary number and the output is a single bit and should show one when the number is prime and zero otherwise.B. Implement the circuit using a 4× 1 multiplexer and combinational logic gates.C. Implement the circuit using only one decoder and one OR gate. What is the size of the decoder you use?
- Given the below circuit. Determine the functionality of the circuit by performing analysis procedure. 1-A. Label all gate outputs with arbitrary symbols but with meaningful names. Determine the number of initial inputs, final outputs, and arbitrary outputs of the circuit. Exclude inverters as arbitrary output for this one. (Ex. Initial inputs = 1, Final outputs = 1, Arbitrary outputs = 3). 1-B. Obtain the Initial Boolean Function for each gate outputs. (ex. T1 = AB, T2 = ABC, F = T1T2) 1-C. Obtain the Final Boolean Function of the whole circuit. (Ex. F = A + B + C) 1-D. Obtain the truth table of the whole circuit. 1-E. By examining the truth table, determine the functionality of this circuit. What does it do?(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.Q5. Design a decoder to convert the 421 BCD codes to drive a 7-segment LEDS that displays the patterns as shown in Figure Q5. Show the design and working steps in implementing your design using NOR gate ONLY in ONE logic diagram. 1 2 3 f off = '0' on = '1' d 4 5 6
- 1) If the sum of the 2-bit "AB" numbers and the 2-bit "CD" numbers is not odd, the logic circuit (logic circuit) that outputs "0", if odd, outputs "1", using the Karnaugh Method and according to SOP (minterms) Design and draw the circuit. Leave the circuit as derived from Karnaugh, ie do not simplify any further.4. CMOS Logic Gate The PUN of a CMOS Logic Gate is shown below Vdd Q1 B- Q2 c -dPQ3 B-dCa5 Q6 D Y (a) Determine Y from the PUN. Express your answer in Sum-of-Product form. (b) Sketch the PDN of this CMOS logic gate. (c) Transistor sizing. If we set Peg = 5 for this CMOS logic gate, find W's for Q1 through Q7 if L is set at 0.25µm.1. What is the total or equivalent resistance of ten (10) nos of 10-ohm resistors connected in parallel? 2. A single logic gate in a prototype integrated circuit is found to be capable of switching from the “on” state to the “off” state in 12 ps. This corresponds to: a. 1200ns b. 1.2 ns c. 12000 ns d. 120 ns