Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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- Simplify the boolean function using K-map for X1 and X2 together with the don’t care conditions D1 and d2 and complete the table given below. Express the simplified function in product-of-sums form. Specify the corresponding values for don’t care.(Show the prime implicants and essential prime implicants)arrow_forwardAnalyze the following design to obtain the output Boolean functions in compact min term form.arrow_forwardlet us say we are given ZA and Z'B and those two are prime implicants of a specific function. The Z standing for a variable, while the A and B are both two product terms. Consider A*B does not equal to zero, Is their consensus AB an implicant? Also is it a prime implicant? If the answer is yes a prime implicant then prove it. If the anwer is no not a prime implicant give a counterexample to show the opposite.arrow_forward
- Minterm | Maxterm 1. Given the truth table of F(A,B,C) on the right, determine the following: a. Express F as a minterm expansion in boolean expression. b. Express F as a minterm expansion in m-notation. c. Express F as a maxterm expansion in boolean expression. d. Express F as a maxterm expansion in M-notation A B CF 000 1 0 0 1 01 0 1 0 1 10 1 1 000 1 010 1101 1111 3. Each of three coins has two sides, heads and tails. Represent the heads or tails status of each coin by a logical variable (A for the first coin, B for the second coin, and C for the third) where the logical variable is 1 for heads and 0 for tails. Write a logic function F(A, B, C) which is 1 if and only if exactly one of the coins is heads after a toss of the coins. a. Express F as a minterm expansion in boolean expression. Express F as a minterm expansion in m-notation. b. c. Express F as a maxterm expansion in boolean expression. Express F as a maxterm expansion in M-notation d.arrow_forwardsimplify the following Boolean function F, together with the don't care conditions d, and implement it with (Can you explain just "how you found your function in POS form from karnaugh map. As I know you can write F’ in SOP form and then you can find F which will be in POS form. ")arrow_forwardCould you make the map similar to one I attached in the red, I have a hard time understanding the simplified version. Thank you so much for all that you doarrow_forward
- Explain simply how they got boolean expression below? What is boolean expression?arrow_forwardI need some assistance solving these problems pleasearrow_forwardSimplify the following Boolean expressions using Boolean algebra. Show the simplification steps. 1) X = (A+ A)+ %D 2) Y = (A+C)(AD+ AD)+ AC +C %3Darrow_forward
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