Design a combinational circuit that accepts a 2-bit number (AB) and generates a 5-bit binary number output (S4, S3, S2,S1, So) equal to the cube of the input signals. a) Draw the truth table. Input Output minterm B A S4 S3 S2 S1 So b) Derive the Boolean expression of each output signal in POS Form. (product of sum) c) Draw the logic diagram of the circuit, Label all lines.
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- 1-Using the Karnaugh Method, design and draw the circuit of the logic circuit that gives the result of the multiplication of the two-bit numbers "AB" and "CD" according to minterms (SOP). Do not make any further simplifications before or after the Karnaugh Method. In tables and Karnaugh, ensure that the least significant bit is on the far right and the entries are sorted alphabetically. Make sure that the circuit you have drawn is understandable, the function you have written and the truth table are readable.Design 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”. Draw the logic diagram for a single bit stag4. A combinational logic circuit has four inputs and one output. The output is 1 if and only if the decimal number represented by the inputs in binary code is a prime number. i. Construct the truth table and simplify the Boolean expression into POS form using K-map. ii. Construct the logic diagram using OR-AND gate network with simplified POS expression iii. Construct the logic diagram using only NOR gates with simplified POS expression.
- 1. Given the Boolean expression (b + d)(a’+ b’ + c),a. Convert the expression to the other standard form. What do you call this standard form?b. Derive its canonical form. What do you call this canonical form?c. Derive the other canonical form. What do you call this canonical form?d. Provide the truth table of the expressione. Draw the logic circuit diagrams of the 2 standard formsYou want to design an arithmetic adder/subtractor logic circuit. (a) List the steps that you will apply in the design approach. 8-bit BCD full adder design the circuit. Explain each step. Realize with AND, OR, NOT gates. point) (b) In the circuit you designed, the numbers (3,7,8) in the last digit of the Student numbers in the group Collect and discuss the result. Need both parts as soon as possible.Design a 3-bit counter that counts the following sequence: 7,5, 3. 1.0.7, 5. 3, 1, 0, 7. etc. Using the sequential design technique that starts from a state diagram, draw the state table. minimize the logic. and draw the final circuit. The outputs of logic circuit are 2 = Qo Q1. I, = Qo.Qi + Qo.Qi, Io = Qo.Q2, Cont2 = Qj Q2 Cont1 = Qu Q2. Cont0 = Q2 Qo.Q1. h = Qo.Qi + Qo.Q1, Io = Qo Qz Cont2 = Q, Q2 Contl = Qo Q2 Cont0 = Q2 Qo Qı Ij = Qo.Q, + Q».Qı, Io = Qo. Q2. Cont2 = Qj Q2. Contl = Qo.Q2. Cont) = Q2 L = Qo.Qı. I¡ = Q. Qj + Qu Q Io = Qv.Qz Comt2 = Q, Q, Contl = Q Q2 Cont0 = Q2 !! fefsto How much will be per-product cost and th
- Subject Digital Logic Design(DLD) Design the truth table for Full Subtractor Circuit. Write the Boolean expression for Difference andBorrow. Also Draw the circuit diagram for Difference and Borrow.5) You want to design an arithmetic comparison combined logic circuit.a. Write your design purpose of the 4-bit comparison (big-equal-small) circuit.b. List the process steps that you will apply in the design approach. Design a 4-bit comparison (large-equal-small) circuit. Explain each step. Realize with AND, OR, NOT gates.c. Compare the decimal numbers in the last two digits of your student number in the circuit you designed and discuss the result. last two digits of student number : 0 4 . Not : I want the solution to contain tables and equations, and the electrical circuit resulting from tables and equations, as in the picture that I attached,And if possible, Because it is normal when solving a question to have tables and equations. I want an integrated solution, please look at the question carefully before starting the solution because I have sent a question a lotElectrical Engineering Task Figure shows a BCD counter that produces a four-bit output representing the BCD code for number of pulses that have been applied to the counter input. In particular, the DCBA outputs will never represent a number greater than 1001,-91, (MOD-10). (MSB) Logic BCD counter circuit HIGH only when DCBA=210-310, or 910 a. Draw the logic circuit using the minimum expression and then explain its operation. B
- We want to perform subtraction operation in which we need a full subtractor. First draw Truth table for full subtractor. Due to pandemic you are unable to get the desire component. but you have only eight- to-one multiplexers with you. What do you think, can you still perform subtraction operation with multiplexer or not? If yes, draw the logic circuit.Write the Boolean expression that represents the combinational circuit, write the logic table and simplify the following using SOP. Please show complete solution. Thank you!2.1 Combinational logic circuits. Tabulates a truth table for the following Boolean expression shown in Equation 1.1. f = A.B.C + A.B.C + A.B.C (1.1) 2.2 Half adder. A half adder is a circuit that adds two binary digits, A and B. It has two outputs, sum (S) and carry (C). The carry signal represents an overflow into the next digit of a multi-digit addition. Figure 1.2 depicted a logic diagram for a half adder. a. derives the Boolean expression for s and c. b. tabulates a truth table for the half adder. Ao Bo Figure 1.2: Half adder os S C