Design A Combinational Circuit That Generates Output As 1 Use K Map For Boolean Minimization

Use karnaugh map to minimise the boolean.

Design a combinational circuit that generates output as 1 use k map for boolean minimization.

Example of combinational logic circuit. Please refer this link to learn more about k map. The k map method is faster and can be used to solve boolean functions of upto 5 variables. To convert a gate circuit to a boolean expression label each gate output with a boolean sub expression corresponding to the gates input signals until a final expression is reached at the last gate.

January 18 2012 ece 152a digital design principles 30 combinational design example 1 design specification design a logic network that takes as its input a 4 bit one s complement number and generates a 1 if that number is odd 0 is not odd label the inputs a b c and d where a is the most significant bit. Understanding this process allows the designer to better use the cad tools and if need be to design critical logic. The combinational circuit do not use any memory. Design a combinational logic circuit with three input variables such that it will produce logic 1 output when one or two the input variables are logic 1 but not all the three.

Even though cad tools are used to create combinational logic circuits in practice it is important that a digital designer should learn how to generate a logic circuit from a specification. The truth table of the odd parity generator can be simplified by using k map as. Combinational logic circuits design comprises the following steps. The previous state of input does not have any effect on the present state of the circuit.

To design a combinational logic circuit use the following procedures. From the design specification obtain the truth table from the truth table derive the sum of products boolean expression. The simplified boolean function for each output is obtained using k map tabulation method and boolean algebra rules. As you can see the reduced circuit is much simpler than the original yet performs the same logical function.

Minimization using k map the algebraic manipulation method is tedious and cumbersome. The output of combinational circuit at any instant of time depends only on the levels present at input terminals. The above boolean expression can be implemented by using one ex or gate and one ex nor gate in order to design a 3 bit odd parity generator. Combinational logic circuit design.

Example 2 consider the same expression from example 1 and minimize it using k map. Follow the above listed points to design the logic diagram as per the given statement. A combinational circuit can have an n number of inputs and m number of outputs. Draw the logic diagram using the and or gates and discuss its inference.

P a b ex nor c. The logic diagram is drawn. The output parity bit expression for this generator circuit is obtained as.