We want to design a combinational circuit that computes the function: F(x) = 4r +1 r <3 2-1 r23 Assuming a 3-bit unsigned number x, the number of bits that we need for the output is: a. 8 Ob. 3 O c.5 Qd. 1 f6 9.7 h. 2
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- Design a circuit that takes three bits, X2, X1, X0 as input and produces one output, F. F is 1 if and only if 2<=X<=5 when X = (X2, X1, X0) is read as an unsigned integer. For example, if X2=1, X1=0, and X0=0, then the unsigned binary value is 100, which is 4, so the output would be 1. Your Assignment For This Problem Includes the Following Design the necessary circuit using Logisim to implement the situation described above. Use Kmaps for simplification. Be VERY careful to get the correct functions for your output before simplifying and designing the circuit with Logisim. You should minimize the circuit. Your circuit should have three inputs and one LED output. All inputs (X2, X1, X0) and output (F) should be labeled (in Logisim, not by hand). Please use these names to indicate the inputs and output so all projects are consistent. You should also include your name as a label on the circuit. Test your circuit to be sure it is working correctly.We want to design a circuit that counts the number of 1s present on 3 binary inputs a, b, c and outputs that number in binary using 2 outputs y and z. For example an input of a=1, b=1, c=0 has two ones, so the output would be 210 = 102 i.e., y=1, z=0. a) Express y and z as sum of min‐terms of variables a, b and cb) Simplify the expressions for y and z using K maps.c) Draw the logical circuits for y and z using gates.Build a circuit that takes four bits as input: W, X, Y, Z. Treat WX as a 2-bit unsigned binary number, and treat YZ as a second 2-bit unsigned binary number. Your circuit should generate the output corresponding to the product of WX and YZ. You will need 4 bits of output for this problem.For example, if your input was 1011, your inputs correspond to 2 and 3. That product is 6, so your output will be 0110.Create a truth table for this problem, show all k-maps and minimizations, and build the corresponding (minimized) circuit. Use XOR, XNOR, NAND, and NOR as appropriate if it reduces the number of gates used.
- In this problem, you should design a two-bit comparator. This circuit should have three outputs named l, g, and eq. The circuit should get two digits binary numbers (00, 01, 10, 11), and the output should change based on these rules:• If first number > second number then g = 1, l = 0, and eq = 0• If first number < second number then g = 0, l = 1, and eq = 0• If first number = second number then g = 0, l = 0, and eq = 1Your circuit will have 4 input (2 bit for the first number, and 2 bits for the second number)a. Draw the truth table for the comparator for unsigned numbers b. Show the circuit.Design a circuit that compares two 3-bit numbers A and B to check if they are equal and less than. The circuit has two outputs X and Y, So that X=1 if A==B and X=0 if A!=B and Y=1 if A<B and Y=0 if A>BDesign a combinational circuit that uses 4-bit adders and 2-to-1 MUXes. Given two 8-input signed 2s-complement numbers A and B and a binary input signal M, your circuit should produce an 8-bit signed 2s-complement result R, as follows: if (M == 0) R = A + 7; else R = B + 15;
- Design a circuit that uses 4-bit full adders and AND gates. Given two 8-bit signed 2s-complement numbers A and B and a binary input signal M, your circuit should produce an 8-bit signed 2s-complement result R, as follows: if (M == 0) R = A; else R = A + B + 1;Design a digital circuit that performs the sum of two ASCII-encoded numbers A and B standard in 7 bits. Both operand A and operand B contain two digits, that is, the ones and tens. Each digit is represented individually using ASCII encoding standard in 7 bits. For its part, the result will have 3 digits, that is, units, tens and hundreds, this for avoid overflow. These 3 digits will also be encoded in standard ASCII code in 7 bits. As an additional restriction, the sum of the two operands must be done in natural binary, A and are always psoitiveDesign a digital circuit that performs the sum of two ASCII-encoded numbers A and B standard in 7 bits. Both operand A and operand B contain two digits, that is, the ones and tens. Each digit is represented individually using ASCII encoding standard in 7 bits. For its part, the result will have 3 digits, that is, units, tens and hundreds, this for avoid overflow. These 3 digits will also be encoded in standard ASCII code in 7 bits
- Write a C++ program that calculates the XOR gate of binary, use the XOR() – a function that performs bitwise operation XOR Sample Output Enter First Number: 10111 Enter Second Number:11111 THE RESULT IS: 1000Draw a 4-input adder for single-bit values: that is, a set of logic gates with 4 input wires each representing a number between 0 and 1 and a multi-bit output z, composed of wires z0 through z... (where z0 is the low-order bit, z1 the next, etc., up to the number of wires needed for this task). The gates should ensure that z = the sum of all four inputs.Design a circuit that has two inputs X, and S, where X represents an 8-bit BCD number, S is a sign bit. The circuit has one output Y, which is the Binary representation of the signed-magnitude BCD number. A negative output is represented in the Binary 2’s- complement form. You need to think of two design alternatives. Submission guidelines: 1. You should write a report that at least contains the following sections: 1. Problem definition. 2. Design alternatives : 2.1. Alternative 1 block diagram 2.2. Alternative 2 block diagram 3. Design selection criteria 4. Detailed circuit design of the selected alternative. 5. Verilog modules, and simulation results for all modules, and for the whole circuit of the selected alternative .