Draw 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.
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Draw 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.
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- 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.. Implement a circuit for the following problem using Logisim. The input to the circuit are 3 4-bit numbers, A,B,C. The sum of A and B is subtracted from C. The difference (result of subtraction) is compared with A. The circuit has 3 outputs lines depending on comparison. Use appropriate chips in Logisim for the operations mentioned Answer step by stepDesign 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.
- The circuit of Exp #8.2, configured as a subtractor, can be used to compare two 4-bit numbers. Subtractor outputs Cout and (S3.so) can be combined logically to indicate the relationship between inputs A and B. The gate circuit needed to do this appears as the interface block in the following diagram. Subtractor 220 ohm Cout A - B LEDO 4 A S3 A < B LED1 220 ohm Interface Block S2 (Your Design) 220 ohm B S1 A > B LED2 So (A - B) AirSupplyLab.com Figure 8.2: 4-bit Comparator Design the contents of this interface. You will build the circuit using only 2 chips: 1. a 7402 NOR chip 2. either a 7432 OR chip or a 7408 AND chip. Design the interface two ways: (a) an OR and NOR circuit, and (b), a NOR and AND circuit. Include both designs in your lab notebook and build and test one of them. Each design consists of 3 parts – one for each output – and requires 5 gates total. ExpressSCH has custom DM symbols for all gates (including ANDS and ORs). Use them, but only where they make circuit…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.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…
- Use muxes to implement various gates. In each circuit, draw the specified number of 2:1 muxes and implement the given boolean expression. A mux input can be A, B, 0, 1, or the output of another device (e.g., another mux or a decoder). Be sure to label the S, 0, and 1 inputs of every mux. a. Use one 2:1 mux to implement NOT A (i.e. A') b. Use one 2:1 mux to implement A AND B (i.e. AB) c. Use one 2:1 mux to implement A OR B (i.e. A+B)Consider a special purpose decoder that is called BCD to seven-segment decoder. The decoder takes a 4-bit Binary Coded Decimal (BCD) number X3 X2 X4 X0 (0-9) and produces 7 outputs a, b, c, d, e, f, and g The specification of this circuit is as follows: ⚫ The 7 outputs of the decoder are connected to LED segments as shown in the figure below. The LEDs are active low, ie, the LED emits light when it is connected to logic 0. • The decoder output is determined in a way so that the LED segments display the decimal representation of the input. For example, if the input X3 X2 X1 X0 is 0001 respectively (which is equivalent to decimal 1), the outputs a, b, c, d, e, f, and gare 1001111 showing the letter 1 on the display (remember the LEDs are active low). Decoder W- 4x7 e U Answer the following questions: a. Fill in the truth table of that decoder. Choose a good value for the output when the input is greater than decimal 9. b. Derive the simplified Boolean expressions for the outputs a, b, c,…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;
- Given five inputs (a, b, c, d, e) connected to 8051’s port P1 and P2 with : P1.0 = a, P2.0 = b, P1.3 = c, P2.7 = d et P1.6 = e. Outputs S0 and S1 are connected to P3.0 and P3.1 respectively as shown in the figure below. We propose to realize the following logic S0 = a.b + c.d + e.(a.b + a.b) S1 = c.b + d + e.a.bImplement a combinational circuit with three inputs x, y, and z and three outputs A, B, and C.When the binary input is equal to 0, 1, 2 or 3, then the output is equal to the input + 1.When the binary input is 4, 5, 6 or 7 then the binary output is equal to the input – 2.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 .