2) Digital logic problems. a) Show that (AB+AC) = A(B+C), by writing out the truth tables for both. b) Show that à · B = A + B (one of De Morgan's Laws) by drawing a Venn diagram.
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- Use DeMorgan's theorem, Boolean algebra, and the method of splitting vinculum to simplify the following expression. Which is the correct answer? Y = A+ B (C + D) Expression A. Y = A + B + C + D Expression B. Y = A+B + C +D Expression C. - - Y = AB + AC+ AD Expression D. Y = A +B +C + D30. Suppose ,m) is a common eigenvector of î² and î₂ . Then î²|l,m) = Î₂|l,m) = Î ± |l,m) = = (1,m|L²|1',m) (1,m|L₂|I',m') (1,m|L₂|1',m') = =4) Simplify the expressions: a) Q = Ā ·B · C+Ã ·B ·C + Ã · B · C + A · B · C b) Q = A·B · C + Ā ·B ·C + Ā ·B ·Č + A · B· C %3D Try to use algebraic transformations rather than writing out truth tables.)
- I need help with number 3Function f is defined by 5 = 21 @where a = 4.35 # 0.04 and y = 1.25 # 0.03 Calculate the absolute uncertainty in f. Specify your answer up to 3 decimal places.1. Consider two time interval measurements: t1 = 0.84±0.8 sec and t2 = 0.96 ± 0.8 sec. Considering their uncertainties, can you conclude that the two measurements are the same? Explain.