Design and draw the logic circuit of the Boolean functions using only NAND gates. Show the simplification process to arrive at the implementable form if necessary. a. f= (X'Y +Z')' b. f= (X+Y)'Z
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- 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?1. Design a logic circuit with four inputs A,B,C,D as shown in figure1 and one output Y and whose output will be high if only the input is evenly divisible by 3. A B LY D Figure1 I. Find the SOP Boolean expression of the output Y. I. Draw logic circuit using basic gate and verify the result by using any simulation tools. II. Draw a logic circuit by using NAND gate only. |6. i) For the circuit shown in Figure Q16, Find the logic functions of X and Y Figure Q1 ii) Simplify X and Y using Boolean algebra. hp ort delete
- 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 &Design a 3-bit counter that counts the following sequence: 7,5, 3. 1.0.7, 5. 3, 1, 0, 7. etc. Using the sequential design technique that starts from a state diagram, draw the state table. minimize the logic. and draw the final circuit. The outputs of logic circuit are 2 = Qo Q1. I, = Qo.Qi + Qo.Qi, Io = Qo.Q2, Cont2 = Qj Q2 Cont1 = Qu Q2. Cont0 = Q2 Qo.Q1. h = Qo.Qi + Qo.Q1, Io = Qo Qz Cont2 = Q, Q2 Contl = Qo Q2 Cont0 = Q2 Qo Qı Ij = Qo.Q, + Q».Qı, Io = Qo. Q2. Cont2 = Qj Q2. Contl = Qo.Q2. Cont) = Q2 L = Qo.Qı. I¡ = Q. Qj + Qu Q Io = Qv.Qz Comt2 = Q, Q, Contl = Q Q2 Cont0 = Q2 !! fefsto How much will be per-product cost and th5) below is the accuracy table showing the output values for two separate binary number entries (W and Y) with a length of two bits. Get the simplest form of output functions with the Karnaugh diagram. Draw a logic diagram of the circuit that performs the function of these functions.Describe in detail which functions a, b and C perform for 2-bit binary numbers in the input.
- Write the expression for the logic circuit given in the figure as the sum of products. Simplify the expression obtained by applying Boolean Algebra theorems and axioms. Retrieve the capitalized expression using AND NOT (NAND) gates, with no restrictions on the number of entries.parity generator design, construct and test a circuit that generates an even parity bit ffrom four messages bits . use XOR gates. adding one more XOR gate, expand the circuit so that it generates an odd parity bit also.An X-input exclusive-OR gate and a Y-input exclusive-OR gate (where X=3, Y=4 have their outputs connected to a 2-input exclusive-NORgate. Do the following:a) Draw the logic diagram and analyze the logic expression of the output (in standard SOPform).b) List out all essential prime implicants.
- A d. B Figure 1 3. Referring to the logic circuit in Figure 1, determine: a. The simplified Boolean expression. b. The output waveform. C H c. Due to fabrication errors, lines d and f were shorted to the supply voltage. What happens to the output of the circuit? d. Your hardware resources are limited to 2-input NOR gate only. Draw the gate schematic of the simplified Boolean expression in 3(a).Problem #04] Using AND and OR gates develop the logic circuit for the Boolean equation shown below. Y =AB(C + DEF) + CE(A + B +F) Problem #05] Using AND and OR gates develop the logic circuit for the Boolean equation shown below. X-A(CD+B)F4 Using two flip-flops and basic gates, construct the circuit of the given state diagram below. Provide the following: State Table, Flip-flop equations, Circuit Diagram. Follow correct label names: Q0, Q1 – prev/present states D0, D1 – D-FF names X – input Y - output