(b) How many 3-to-8 line decoders with an enable input are needed to construct a 6-to-64 line decoder without using any other logic gates? Provide the circuit as well.
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5 (b) How many 3-to-8 line decoders with an enable input are needed to construct a 6-to-64 line decoder without using any other logic gates?
Provide the circuit as well.
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- d) 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.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).4) Draw a logic diagram of a divide-by-14 counter using IC 7493 and 2-input AND gate.
- 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.Q4(a) Adder is divided into three types which are half adder, full adder, and parallel adder. Illustrate the implementation of full adder using half adder with necessary logic gates. (i) (ii) Figure Q4(a)(ii) shows the input timing diagram for a full adder. Illustrate the timing diagrams for output S and Cout- Cin Cout Figure Q4(a)(ii)The logic circuit: (From minimum SOP) Number of gates used in the circuit: 2-Input AND gate.. 2-Input OR gate. NOT gate Number of idle gates in the chip: 2-Input AND gate 2-Input OR gate... NOT gute The logic circuit: (From minimum POS) gates gates gates gates gutes Number of gates used in the circuit: 2-Input AND gate 2-Input OR gate... NOT gate Number of idle gates in the chip: 2-Input AND gate... 2-Input OR gate, NOT gate, IC name: IC name: IC name: gates IC name: gates IC name: gates IC name: gates gates gates
- 1E. Write a VHDL code for all Logic Gates and verify Output waveforms. 2E. Write a VHDL code for Half Adder and verify Output waveforms. 3E. Write a VHDL code for Full Adder and verify Output waveforms.Q4(a) Adder is divided into three types which are half adder, full adder, and parallel adder. Illustrate the implementation of full adder using half adder with necessary logic gates. (i) (ii) Figure Q4(a)(ii) shows the input timing diagram for a full adder. Illustrate the timing diagrams for output S and Cout- B Cin Cout Figure Q4(a)(ii) (iii) Given A = 111001 and B = 100010. Construct a 6-bit parallel adder to solve for A + B.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
- (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. (a) Convert the following logic gate circuit into a Boolean expression, writing Boolean sub-expressions next to each gate output in the diagram: A C. (b) Realise Ex-OR gate using universal gate?4- Design the logic circuit of 4-to16 decoder using basic logic gates. Find its truth table and logic diagram. 5- What is the purpose of encoder circuit? 6- What is the purpose of decoder logic circuits?