1. Draw the truth table and logic circuit for a half adder. 2. Implement the following Boolean expression using only NAND gates: (A OR B) AND (NOT A OR NOT B)
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- Draw the AND and OR gate logic diagram of the expression. X=[[K(K+L) +M] Logic diagram using AND-OR gates Redraw the circuit using positive NOR gates. Logic diagram using positive NOR gatesDetermine the truth table for the following logic circuit. Then identify the type of logic gate using Boolean algebra. O +Vcc R23 ER O O/P Q1 Q2 BOBinary Subtractors 1. What are binary subtractors? 2. How does it work? 3. Types of binary subtractors. 4. Draw the logic circuit diagram. 5. Show the truth table. (Our subject is logic circuit and switching theory, and our lesson is combination logic circuit)
- a) Write the output expression of the logic circuit shown in the figure. b) Minimize the expression using Boolean laws and theorems. c) Implement the minimized expression using 2 input NOR gates only.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 - outputA combinational logic circuit that compares between two 2-bit numbers A (A1 A0) and B(B1 B0) is designed. Output F is high when ? > ? and low when ? < ?. 1) Are there any undefined outputs? If there are any undefined outputs what are the inputs?
- Convert the following logic gate circuit into a Boolean expression, writing Boolean sub-expressions next to each gate output in the diagram: C DDDraw a logic diagram for part a and simplify the Boolean expression in part (a) using a karnaugh map for part b. The picture contains more details of the question.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?
- Draw the logic diagram corresponding to the Boolean expression: ((A'C + B') · (A'B')) + AC Draw the logic diagram corresponding to the Boolean expression: YZ + (XZ' + Y') Draw a logic diagram to show how to build an exclusive-or gate out of AND, OR, and NOT gates. Show how to build an AND gate using only NOR gates. Why is NOR considered a "universal gate"?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).2.Draw the logic diagram for the given Boolean equation using only NOR gates. Use as few gates as possible. F=A’B’+CD Write the question in copy and write in details it will be benefit for me thank you