# 11a5d Digital Design Question Bank 2

May 14th, 2015
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If A & B are Boolean variables and if A=1 & A+B=0, Find B? 2. State De-Morgan’s theorem.* 3. Explain the term prime applicants.

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11a5d Digital Design Question Bank 2Question Bank-2MINIMIZATION TECHNIQUES & LOGIC GATESPART-A1.If A & B are Boolean variables and if A=1 & A+B=0, Find B?2.State De-Morgans theorem.*3.Explain the term prime implicants.4.Apply De-Morgans theorem to simplify A+B C.5.Simplify A+AB+A+B.6.Define Max term & Min term. Give examples.7.Prove that A+AB=A+B.8.Mention any 2 applications of De-Morgans theorem.9.Express F=A+BC as sum of Min term.10.What are the universal gates?11.Draw the circuit diagram of a TTL NAND gate.12.What are tri-state gates?13.Realize f = AB+AB using minimum universal gates.14.Draw a tri-state inverter & its truth table.15.What is propagation delay of gate?16.Draw the logic diagram for X= AB+BC.17.Write the Boolean function of an XOR gate give its truth table.18.Draw the XOR logic using only NAND gates.19.Prove that the logical sum of all min terms of a Boolean function of 2 variables is 1.20.Show that a positive logic NAND gate is a negative logic NOR gate. PART- B1.Find a minimal SOP representation for f(A,B,C,D,E)=m(1,4,6,10,20,22,24,26)+d(0,11,16,27) using K-map method. Draw the circuit of the minimal expression using only NAND. Prove that (x1+x2) (x1 x3 +x3) (x2 +x1 x3) = x1 x2.2. Express the switching function f (BA) = A in terms of Min term. Simplify the 5 variable switching function f(EDCBA)= m(3,5,6,8,9,12,13,14,19,22,24,25

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