down, starting at fifteen and ending at zero. Also, implement a reset that allows you to place it in its initial value wh
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Implement a 4-bit counter that counts down, starting at fifteen and ending at zero. Also, implement a reset that allows you to place it in its initial value which would be 15. For this make use of FF JK and logic gates.
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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.A. Construct the truth tableB. 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?Design and implement a circuit that operates as a gated binary counter. When the counter is enabled, it should increment from 000, 001, ..., 111, and finally roll over back to 000 and repeat the sequence. When disabled, the counter should hold its present value. Choose the flipflop that allows you to minimize the number of additional gates needed to realize this functionality.Design a combinational circuit that increments the 4-bit binary input. The output of the circuit is also represented as 4 bits. For example, if the input is 0011 then the output is 0100. Note: the increment of 1111 is 0000. Let the input variables be A, B, C, and D, while the output variables be W, X, Y, and Z. What is the boolean function (in sum of minterm format) of output W? What is the boolean function (in sum of minterm format) of output X? What is the boolean function (in sum of minterm format) of output Y? What is the boolean function (in sum of minterm format) of output Z?
- Create a logic circuit using only basic gates such as AND, OR, NOR, NAND, NOT, etc. to implement a Subtractor that is capable of subtracting the second number from the first, by converting the second number into its 2's complement form and then adding the resulting number to the first number. You do not need to worry about accomodating the addition or subtraction of negative numbers. Also, create a limited ALU (Arithmetic logic unit) circuit using Logism that implements a Full Adder circuit capable of adding 2 – 4 bit binary numbers and subtracting 2- 4 bit binary numbers. Also, implement the ability to select a bitwise AND operation and a bitwise OR operation. For the ALU it is acceptable to use the Adder and Subtractor circuits that are listed under the "Arithmetic" folder in Logism. (Logism tips and tricks are useful here for multi-bit pins, and how to set up different gates to support more than 1 bit. If using YOUR adder or subtractor circuit in your ALU that is not only acceptable…Draw a circuit that implements a 3-bit Adder that takes two 3-bit numbers as input, each on 3 input lines and outputs a 4 bit number on 4 output lines. You may use the Half Adder, the Full Adder and the following gates: NOT, AND, OR, XOR. Make sure to clearly label the interface wires on your diagram and the types of gates you use.00 A-00 11 c=10 01 10 Z-0 Z-0 Too 01 01 10 11 01 10 00 10, В-01 D-11 Z-1 00 Z-1 1. Draw the state table of the circuit. 2. Implement the sequential circuit that will provide this state diagram using D-Flip-Flops, 8x1 MUX. 3. The design will be made as a mealy model. Draw the new state diagram according to the Mealy model. 10
- Draw the logic circuit of the full adder circuit block. the circuit that will perform the operation given below. Implement using a minimum number of full adder circuit blocks and a minimum number of logic gates. Here a1a0, b1b0 and c1c0 are two-bit binary numbers.Q2/A/ Implement the logic circuit that has the expression below Using only NOR and NAND gates. Then determine the output level if A=B=C=1 and D=0 * X = AB . (C + D) 1 Add fileDraw unsimplified circuits to implement the following Boolean expressions. Use many-input AND, OR, NOR, or NAND gates where they are useful (instead of using only 2-input gates).
- Implement using Multiplexer 8:1 with residual variable. Please draw it using the logic gates, the circuit diagram. Do not draw the multiplexer chip per se. F=min(1,4,5,13,14,15)Create an implementation using 2-input NAND gates only for the following equation. You may use inverter symbols internally and/or inversion symbols ( ) on the inputs as has been done in the example with the understanding that these would be replaced with 2-input NAND gates with inputs tied together. Be sure to minimize your SOP equations before conversion the NAND-only. f(a, b, c, d) = c'd + c(b' + d)First, you must create a logic circuit using only basic gates such as AND, OR, NOR, NAND, NOT, etc. to implement an ADDER capable of adding two 4 bit binary numbers. Second, you must create a logic circuit using only basic gates such as AND, OR, NOR, NAND, NOT, etc. to implement a Subtractor that is capable of subtracting the second number from the first, by converting the second number into its 2's complement form and then adding the resulting number to the first number. You do not need to worry about accomodating the addition or subtraction of negative numbers. Finally, create a limited ALU (Arithmetic logic unit) circuit using Logism that implements a Full Adder circuit capable of adding 2 – 4 bit binary numbers and subtracting 2- 4 bit binary numbers. Also, implement the ability to select a bitwise AND operation and a bitwise OR operation. For the ALU it is acceptable to use the Adder and Subtractor circuits that are listed under the "Arithmetic" folder in Logism. (Logism tips and…