H.W:- 1) A four logic-signal A,B,C,D are being used to represent a 4-bit binary number with A as the LSB and D as the MSB. The binary inputs are fed to a logic circuit that produces a logic 1 (HIGH) output only when the binary number is greater than 01102-610. Design this circuit.
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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?Draw logic diagram for half adder and full adder circuit using Logisim SoftwareIn this assignment, you are required to design a circuit that counts and displays the sequence of the number 010430011092 . The number will then be displayed on a 7-segment display and changed every 1 second. The block diagram is as shown in Figure 1. Construct your design as follow: - (a) Design a combinational logic circuit that converts binary number to a sequence of the number 010430011092 and to be displayed on a single common anode 7-segment display. The logic circuit must be designed using 2-input NAND gate
- Using T-type flipflops, design a counter by counting the binary sequence of 7, 5, 3, 1, 0, 2, and then back to 7 by creating Karnaugh diagrams, and draw the logic circuit. If there is a situation that prevents the counter from working properly in binary situations (such as the two states constantly looping over each other), what solution should be made to overcome this situation? If there is such a case, correct the counter design according to your suggestion and show the design that will enable it to count correctly by correcting the status table. If this is not the case, do not make any changes. NOTE: The state variables are A, B, and C. Flip flop inputs are TA, TB and TC. Q(t+1) =Qn+1= Qn ⨁ TTFull Screen Reader for a T-type FFConsider two binary numbers where the first is made of three bits whichcan be represented by X, Y, and Z, while the second is two bits and isrepresented by A and B. Design a logic circuit that multiplies X Y Z timesA B, using two half adders, one full adder in addition to AND gates.1-Using the Karnaugh Method, design and draw the circuit of the logic circuit that gives the result of the multiplication of the two-bit numbers "AB" and "CD" according to minterms (SOP). Do not make any further simplifications before or after the Karnaugh Method. In tables and Karnaugh, ensure that the least significant bit is on the far right and the entries are sorted alphabetically. Make sure that the circuit you have drawn is understandable, the function you have written and the truth table are readable.
- DIGITAL LOGIC DESIGN Are the following addition results Overflow or underflow and why?Design a binary multiplier that multiplies two 8-bit binary number by following design rules thatshown in class. The Q and B are the two separate 8-bit binary inputs, C is the 3-bit sequence counterand R is the 16-bit result. (Note: Explain the registers that you will use to establish given process.) The steps are writing algorithm Drawing circuit undetailed (Just use the box, which have only writin under that their functions) Draw logic circuits one by one showing the internal structure of the boxes. Mahe flow chards for registersDesign a 4-bit arithmetic circuit, with two selection variables S1 and S0, that generates the arithmetic operations in the following table. Draw the logic diagram for a single bit stage. Note that B’ represents “Not B”. Draw the logic diagram for a single bit stag
- Using a K-map, simplify the output expression for the circuit in the figure. Draw the logic diagram for the simplified logic expression derived in the previous procedure. Construct the simplified circuit in the previous procedure. Use a DIP switch for each input.1. Assuming the full adder drives a load L=1.5, determine the critical path and its corresponding delay.2. Using this full adder to create an 8-bit ripple carry adder, what is the critical path delay of this 8-bit adder? (Assume unconnected ports are driving L=1.5 load)logic circuit diagram for fabinaaci counter that gives output in fabinaaci sequence.upto 2 digits please mentions the gates and ics used in circuit.