Implement the following Boolean function f(A,B,C,D)={ 0,3,4,6,8,11,12,15) ...,im.. 3) using two of 8-to-1 multiplexer D
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- Design a combinational circuit with the four inputs A,B.C, and D, and three outputs X, Y, and Z. When the binary input is odd number, the binary output is one lesser than the input. When the binary input is even number the binary output is one greate than the input. Implement the function using multiplexers with minimal input and select line.Simplify the following expression using Karnaugh map and implement. Draw simplified logic diagram as well. Implement on Multisim software. (a) Y=A.B.C'.D+A.B'.C'.D+A'.B'.C'.D+A'.B.C'.D+A'.B'.C'.D'+A'.B.C'.D'+A'.B.C.D'+A'.B.C.D+A'.B'.C.DUsing Boolean theorems, simplify the output expression for the circuit in the figure. Show all the steps used to simplify the expression.
- Excess-3 code is significant for arithmetic operations as it overcomes shortcoming encountered while using 8421 BCD code to add two decimal digits whose sum exceeds 9. Excess-3 arithmetic uses different algorithm than normal non-biased BCD or binary positional number system. An electronics company has hired your services to design a code converter that converts Binary Coded Decimal (BCD) code for it. Design the converter.Simplify by using Boolean algebra (show all the steps)A full adder takes three inputs, A, B, Cin, and produces two outputs, S, Cout. Explain the logic equation for the sum and carry-out bits. How can you implement this full adder using half adders?
- 6- Simplify the Boolean expressions given below using a 4-variable K-map.3-) Analyze the circuits below and write the Boolean equation for each Part. Simplify the equation using Boolean algebra and determine if they function as an XOR, XNOR or neither. A): Dor B): XD XD . Da) Create a 4 Variable Karnaugh Map in paper by mapping 1’s for given standard SOP Boolean expression. After mapping , make relevant groups within Karnaugh Map by considering rules for making groups for 4 variable Karnaugh Map. After making relevant grouping , extract the minimum SOP expression by considering rules for extracting minimum SOP using Karnaugh Map. * Standard SOP: *Create Circuit Diagram using logic gates and logic converter in Multisim for given standard SOP and minimum SOP which you have solved. Do make sure that truth table for both expressions should evaluate same result.
- Design a digital circuit using only 4-to-1 multiplexers, allowing represent the following Boolean function. As a restriction you can only use 4 multiplexers in size 4 to 1.Problem: Derive the logic expressions for a circuit that compares two unsigned numbers: X = x2x1xo and Y = = y2y1yo and generates three outputs: XGY, XEY, and XLY. One of these outputs is set to 1 to indicate that X is greater than, equal to, or less than Y, respectively.Derive the circuits for a three-bit parity generator and a four-bit parity checker using an odd-parity bit.