Q2 4-7. A four-bit binary number is represented as A3A2A1A0, where A3, Az, A1, and Ao represent the individual bits and Ao is equal to the LSB. Design a logic circuit that will produce a HIGH output whenever the binary number is greater than 0010 and less than 1001 and from 1010 to 1100 Q3
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- Design a logic circuit that compares 2 5-bit numbers. Inputs : Q(n) ---- 5 bits B --- 5 bits but always constant value 10000 I need to draw a circuit that compares the values from Q(n) with 10000. Please send an explanatory and detailed solution.Design a combinational logic circuit that takes a 3–bit input and has one output P. The P output should be active high only when the inputs corresponds to a prime number Note: the prime numbers: Prime numbers are 2, 3, 5, 7… Select one: a. P= AC+B b. P= A'C+A'B c. P= AC+A'B d. P= AC+A'B'Design 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”. Please write down an optimized equation for Xi and Yi,
- Design a 2-bit comparator. The comparator input has two 2-bit numbers A and B. A consists of 2 bits a1 and a0. B consists of 2 bits b1 and b0. The comparator has three outputs Z2, Z1, Z0. a. Show the truth table for this comparator. b. Write the logic equation for Z2 that are true if only if A < B c. Write the logic equation for Z1 that are true if only if A > B d. Write the logic equation for Z0 that are true if only if A = B e. Show the logic design for this comparator using the minimum number of AND, OR, and Inverters. f. Verify your design using Logisim.Design combinational logic for outputting the wait time associated with each state. For example, state 000 has the main street green light on for 15 seconds. The combinational logic for the input 000 would have an output 1111 corresponding to decimal 15. Let the outputs W3, W2, W1 and W0 represent a binary number corresponding to the wait time.Answer this question, part (1), (2) & (3). Design a combinational logic circuit that converts a three-bit binary number from code A to code B, according to the table on the right. Answer the following questions: Code A Code B 000 000 001 001 011 010 010 011 110 100 111 101 101 110 100 111 Construct the truth table for the circuit. Derive the Sum-of-Products (SoPs) Boolean expression for each of the circuit outputs. Using Boolean algebra, simplify the expression you obtained in Part 2 above.
- (a) Perform the following binary additions. (i) 110111 + 11010 (ii) 101101.101 + 101011.011 (iii) 1101101.101 + 110110.01 (b) Design a logic circuit that allows a signal to pass to the output only when one, but not both, of the control inputs are HIGH; otherwise, the output will stay HIGH.28. Design a 2-bit comparator. The comparator input has two 2-bit numbers A and B. A consists of 2 bits a1 and a0. B consists of 2 bits b1 and b0. The comparator has three outputs Z2, Z1, Z0. a) Show the truth table for this comparator b) Write the logic equation for Z2 that are true if only if A < B c) Write the logic equation for Z1 that are true if only if A > B d) Write the logic equation for Z0 that are true if only if A = B e) Show the logic design for this comparator using the minimum number of AND, OR, and Inverters. f) Use Logisim to verify your design1. Design a 16*1 MUX using 4 *1 MUXs. 2. Design a 4-bit ALU to perform the following functions:A + B, A - B, A + 1, A’ . B’ ,A OR B, A XOR B, A AND B 3. Design a combinational logic that compares X and Y, where X = X1X0 and Y = Y1Y0; the output of combinational logic is 1, when X < Y; otherwise the output is 0.(a) Show truth table.(b) Find output function using K-map. 4. Design a logic circuit with three inputs and one output; the output generates even parity bit of the inputs.(a) Show the truth table. (b) Find output function. (c) Draw logic circuit.
- 6. For the showa device, determine the output for the inputs 0110 , \[ \$ 1=1, S 0=1 \text {, and Enable }=0 . \] A. 1 . B. 0. C. Hj-Z. D. Don't Care. 7. Implement the Half-Adder circuit (S and C) with a decoder (use a block diagram for the Decoder) and the minimum number of gates. 8. Design a combinational circuit with three inputs and the output is 1 when the binary value of the inputs is greater than 4 . The output is 0 otherwise In yowr design, you have to do the three steps of the design procedures as follows: - Derive the truth table - Reduce the circuit using K-map - Draw the resultant logic circuit. 9. Use the dawa 8-to-1 multiplexer w implewest the functionfrepersented by the following truth wable. Please give proper explanation and typed answer only.Identify the state diagram operation and find its output sequence for the following input sequence X=0101-1100-101-0000 the circuit accepts input bits from LSB to MSBFirst, 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…