Draw (a) a logic diagram using only two-input NOR gates to implement the following function: F (A, B, C, D)=(A⊕B)′(C⊕D), and (b) repeat for a NAND logic diagram.
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Draw (a) a logic diagram using only two-input NOR gates to implement the following function: F (A, B, C, D)=(A⊕B)′(C⊕D), and (b) repeat for a NAND logic diagram.
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- 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 deleteFigure Q2(e) shows a programmable logic array (PLA) unit with two inputs, four columns, and three outputs. Show the steps to implement a one-bit comparator using this PLA. Note that the output should have equal (EQ), less than (LT), and greater (GT) status. A, 02 Figure Q2(e)Convert the following logic gate circuit into a Boolean expression, writing Boolean sub-expressions next to each gate output in the diagram: C DD
- 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?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 6d) Draw the schematics of 4-bit synchronous and asynchronous MOD-8 counters and comment on their pros and cons. e) Calculate the noise margin for a logic gate with the following logic levels: VIL = 1.1 V, VIH = 3.2 V, VOL = 0.6 V, VOH = 4.0 V.
- 6. Pass-Transistor Logic Consider the following Pass Transistor Logic (PTL) circuit. (a) Determine the Boolean functions X in Sum-of- Product form. Is this a valid implementation? Give a brief explanation (b) Determine Boolean functions Y in Sum-of- Product form. Is this a valid implementation? Give a brief explanation B AQ2 A) Starting from Ex-OR (SOP) expression: a- develop Ex-NOR (SOP) expression. A O A=.... b- Find AO 1=..., B) Draw the logic circuit diagram for 4x1 Multiplexer.Derive an equivalent logic circuit of the circuit shown using only all NOR GATES. Determine the number of TTL NOR-gate ICs in the design
- Design a logic circuit to provide an odd parity bit for a 3-bit octal code. Draw the logic circuit using (1) inverter, AND, OR gates (2) Inverted Inputs and draw the block diagram.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) Design a combinational circuit that would take a 3-bit binary number and generate an output if the input value in decimal is either divisible by 2 or 3. iii) Explain and show how you would implement this circuit using a 4-to-1 Multiplexer and other appropriate logic gates. Use a block diagram for the multiplexer.