Using the truth table below ( An example sum-of-products expression is (A+B+C)(A+B+C')(A+B'+C)(A'+B+C).) a. Write a product-of-sums Boolean expression bexp4 for the output ? of the truth table b. Draw a circuit that is a direct translation of bexp4 without any simplification. For the circuit, use a layout that is analogous to the layout of the sample circuit below (where the and and or gates are appropriately swapped).
Using the truth table below ( An example sum-of-products expression is (A+B+C)(A+B+C')(A+B'+C)(A'+B+C).)
a. Write a product-of-sums Boolean expression bexp4 for the output ? of the truth table
b. Draw a circuit that is a direct translation of bexp4 without any simplification. For the circuit, use a layout that is analogous to the layout of the sample circuit below (where the and and or gates are appropriately swapped).
To form a product-of-sums (POS) Boolean expression, we usually focus on the 0s in the output column of the truth table, inverting the variables accordingly for each term, and then OR'ing them together to form a sum, and finally AND'ing these sums to form the product.
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