1) Design an arithmetic circuit with one selection variables and two n-bit data inputs A and B. The circuit generates the following four arithmetic operations in conjunction with carry Cin. Draw the logic diagram of the arithmetic circuit. Cin =0 Cin = 1 F = A+ B (add) 1F=A-1 (decrement)F = A + B +1 (subtract) F= A+1 (increment)
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- 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 designDesign 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.
- 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 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 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.
- 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 PALDesign 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'I believe this problem is from computer systems/architecture. PLEASE TRY YOUR BEST. I NEED TO UNDERSTAND THIS PROBLEM I need you to design a digital logic circuit as a read only memory (ROM) [Decoder + OR gates]. A ROM accepts a three–bit number (x2 x1 x0) and generates an output binary number equal to the input squared + 2. Here is the equation: A = x2 + 2, with input (x) : 0 ≤ (x) ≤ 7 (a) Try to set–up the truth–table [Binary inputs: (x); Binary outputs: ..., A2, A1, A0] (b) What is the size of the initial (unsimplified) ROM ? (c) What is the size of the final (simplified) ROM ?
- 1. 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.1. Design a 4-bit ALU that performs Arithmetic (add, subtraction), and Logicoperations (AND, OR). The following control signals are to be considered:• A/S: add/subtract (0:add, 1:subtract)• A/O: and/or (0:and, 1:or)• A/L: arithmetic/Logic (0:arithmetic, 1:logic)• R/W: read/write signal (0:read, 1:write) The details of each control signal (Unit) are as follows.Unit 1 (A/S) - Design a 4-bit adder/subtractor that accepts two 4-bits numbers, A andB, and either add them up (A + B) or subtract them (A – B) depending on a controlsignal A/S (when the control signal is 0 perform ADD, otherwise if the signal is 1 thenperform SUB). The result will be stored in C.Unit 2 (A/O) - Design a 4-bit AND/OR unit that accepts two 4-bits numbers, A and B,and either AND them or OR them depending on a control signal A/O (when the controlsignal is 0 perform AND, otherwise if the signal is 1 then perform OR – bitwise logicaloperation). The result will be stored in C.Unit 3 (A/L) - Design a 4-bit ALU using Unit…1. Design a SINGLE 4-bit ALU that performs Arithmetic (add, subtraction), and Logicoperations (AND, OR). The following control signals are to be considered:• A/S: add/subtract (0:add, 1:subtract)• A/O: and/or (0:and, 1:or)• A/L: arithmetic/Logic (0:arithmetic, 1:logic)• R/W: read/write signal (0:read, 1:write) The details of each control signal (Unit) are as follows. Unit 1 (A/S) - Design a 4-bit adder/subtractor that accepts two 4-bits numbers, A andB, and either add them up (A + B) or subtract them (A – B) depending on a controlsignal A/S (when the control signal is 0 perform ADD, otherwise if the signal is 1 thenperform SUB). The result will be stored in C. Unit 2 (A/O) - Design a 4-bit AND/OR unit that accepts two 4-bits numbers, A and B,and either AND them or OR them depending on a control signal A/O (when the controlsignal is 0 perform AND, otherwise if the signal is 1 then perform OR – bitwise logicaloperation). The result will be stored in C. Unit 3 (A/L) - Design a 4-bit ALU…