The following figure shows the four-bit Adder-Subtractor. Your inputs for this combinational circuit are A = 5, B = 3 and M = 1. What is the outputs S3, S2, S1, and So? You have to show how to get the outputs by indicating each carry bit. (Note: You should show all the steps) A3 B3 A2 B2 A, B1 A. B, M C3 C2 Co FA FA FA FA
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- 4. The following figure shows the four-bit Adder-Subtractor. Your inputs for this combinational circuit are A = 5, B = 6 and M = 1. What is the outputs S3, S2, S1, and S0? You have to show how to get the outputs by indicating each carry bit. (Note: You should show all the steps to receive full credits)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.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.
- What is the size of my adder and subtractor if I want a maximum output of 6-bits? DRAW A DIAGRAM !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 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 .
- Q1.Write a Verilog code for the 16 bit ripple carry adder. The hierarchy of 16 bit ripple carry adder is shown in figure below. The ripple carry adder is made up of four 4 bit full adder, each 4-bit full adder is made up of four full adders which in turn made up of two half adders and OR gate. Finally each half adder is made of xor, nand and nor gate.Design 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;4 bit 2’s Complement Multiplier INPUT A: 4 bit 2’s Complement numberINPUT B: 4 bit 2’s Complement numberOUTPUT: the product of A x B represented as a 8 bit 2’s Complement number You are only allowed to use the basic gates: NOT, AND, OR, XOR. You may however, use these basic gates to build your own custom circuits (i.e. Adder). You are NOT ALLOWED to use Logisim’s built in circuits. Each custom circuit is to be implemented as a sub-circuit as discussed in class. PART 1: Build a 4 bit controlled 2’s Complement Inverter as a subcircuit named 4BitInverter PART 2: Build a 8 bit controlled 2’s Complement Inverter as a subcircuit named 8BitInverter PART 3: Build a 4 Bit UNSIGNED Multiplier as a subcircuit named UnsignedMultiplier PART 4: Using the 3 subcircuits you built in Parts 1-3, built a 4 bit 2’s Complement multiplier that uses the inversion method discussed in class. Name this circuit: SignedMultiplier HINTS: INVERSION METHOD: 1) If input A is negative, invert it. If input A is…
- 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.Chose the correct answer for the output F of the following circuit ( Assume that A= 101010, B= 100101, C=111101 and D =110100 and the first bit out from the circuit is bit 0)*4 bit 2’s Complement Multiplier INPUT A: 4 bit 2’s Complement numberINPUT B: 4 bit 2’s Complement numberOUTPUT: the product of A x B represented as a 8 bit 2’s Complement number Do this:Build a 4 Bit UNSIGNED Multiplier as a subcircuit named UnsignedMultiplier use AND gate ,full and half adders for the circuit