Using K-map, design a logic circuit to implement the SOP operation specified in the truth table
Q: i) For the truth table shown in Table Q19, find the logic functions of Zį and Z2 using K Map Table…
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A: i) First, we will draw K- map with the help of truth table given :
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Using K-map, design a logic circuit to implement the SOP operation specified in the truth table
input | output | ||
A | B | C | Y |
0 | 0 | 0 | 1 |
0 | 0 | 1 | 1 |
0 | 1 | 0 | 0 |
0 | 1 | 1 | 0 |
1 | 0 | 0 | 1 |
1 | 0 | 1 | 0 |
1 | 1 | 0 | 1 |
1 | 1 | 1 | 1 |
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- The 4221 code is a base 10–oriented code thatassigns the weights 4221 to each of 4 bits in a nibble ofdata. Design a logic circuit that takes a BCD nibble asinput and converts it to its 4221 equivalent. The logiccircuit should also report an error in the BCD input ifits value exceeds 1001.i)Simplify the expression in the image shown below using the Kamaugh map ii)Illustrate the results gotten on a logic circuit4. A combinational logic circuit that compares between two 2-bit numbers A (AI A0) and B (RI RO) is designed. Output Fis high when A >R and low when ADetermine the simplified Sum of Product expression of Q1 and Q2 from the table using a K-Map, then draw the simplified logic diagram. SHOW KMAP WITH THE FINAL EXPRESSION & LOGIC DIAGRAMConsider a logic function with three inputs, A, B, and C, and three outputs, D, E, and F. The function is defi ned as follows: D is true if at least one input is true, E is true if exactly two inputs are true, and F is true only if all three inputs are true. Show the truth table for this function.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 formsA design engineer has limited resources in terms of logic modules such as AND gate, OR gate and inverter module to implement the function. Simpify the Boolean function F-AB + (ACY + AB'C (AB + C) using theorems and corresponding postulates and mention in each step also.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 stagPerform the addition of the following 8-bit 2's complement numbers using 2's complement arithmetic. (Reminder: 2's complement numbers are signed numbers.) a) 11001001 + 00110011 b) 10011011 + 01101111 c) 01011010 + 10110110 d) 11001000 + 11100101 Convert each result from the previous problem to signed decimal. Draw the block diagram of the circuit required to implement the operation in Problem 3.DO NOT COPY ANSERWS IT'S INCORRECT A very detailed solution and if you can use a program to design after the work please do.Problem : Design a circuit that takes a 3-bit number and increments it by two using a minimum number of 4x1 Mux's and a minimum number of logic gates the output is 4 bits. Show your work and label all inputs/outputs appropriately.What parity bit, P, should be added to the following data if the parity is EVEN? If the parity is ODD? a. 1111100 b. 1010110 c. 0001101Design 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 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.SEE MORE QUESTIONS