o For each of the three full-adders in Figure below, determine the outputs for the inputs shown. Σ Σ (a)
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- a. Draw a circuit which produces Sum and CarryOut from inputs A and B (this circuit is known as a half adder). You should use exactly one AND gate and one XOR (exclusive or) gate. b. Give the truth table for a full adder (which incorporates a carry-in bit to the sum of A and B):Design the simplest circuit that has three inputs, a, b, and c, which returns an output value of 1 whenever g and b are complements of each other or b and c are complements of each other, otherwise the output is 0. Realize the circuit using 4input , 3output PALCreate a 1-bit adder circuit. It has three 1-bit inputs: a, b, and carry_in, and two 1-but outputs: result and carry_out. Has the following gates: AND, OR, NOT gates
- Design a 5-input Priority Encoder with inputs D4,D3, D2, D1, D0. Derive the truth table of the priority encoder where priority is set according to the following sequence of priority from the highest to the lowest D2>D0>D3>D1>D4. Derive the Boolean expressions for outputs and draw the circuit diagram.Design a combinational circuit that accepts a 4-bit number and generates a 3-bitbinary number output that approximates the square root of the number. Round off the result. Forexample, if the square root of 2 is 1.4, give a result of 1 = 001. If the square root of 3 is 1.7, give a result of 2 = 010. Let ABCD as inputs and xyz as outputs.Design a combinational circuit that accepts a 4-bit number and generates abinary number output that approximates the square root of the number. Forexample, if the square root is 3.5 or larger, give a result of 4. If the squareroot is <3.5 and >= 2.5, give a result of 3. Use K-maps to simplify the circuit.Draw the circuit.
- Design a combinational circuit with three inputs and one output.(a) The output is 1 when the binary value of the inputs is less than B. The output is 0 otherwise.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.design an odd-parity circuit. This is a circuit that has three inputs and one output. The circuit outputs a 1 if and only if even number (0 or 2) of its inputs are a 1. Otherwise, the circuit outputs a 0. Thus, the sum of the number of 1 bits in the input and the output is always an odd number.
- Design a combinational circuit with three inputs and one output.1. (a) The output is 1 when the binary value of the inputs is less than 3. The output is 0 otherwise.2. (b) The output is 1 when the binary value of the inputs is an even number.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 MSBDesign a circuit with a 4-bit BCD input A, B, C, D that produces an output W, X, Y, Z that is equal to the input + 3 in binary. For example, 9 (1001) + 3 (0011) = 12 (1100). The outputs for invalid BCD codes are don’t-cares. Write the truth table and the Karnaugh maps used to simplify the Boolean expression!