Question

Project 1-G9 Last date to submit:- 15/04/2020 Q1. You have been hired by a industry to design a digital logic circuit for the problem given below. A battery operated lamp in a room is to be operated from two swithes,one at the back door and one at the front door. The lamp is to be off if the front switch is on and the back switch is off, or if the front switch is off and the back switch is on. The lamp is to be on if both switches are off or both switches are on. Let a HIGH output represent the on condition and a LOW output represent the off condition. 4 Marks) Q2. Develop a truth table for each of the standard SOP expression. Y = (A.B.C) + (A.B.C) + (A.B.C) (4 Marks) Q3. Minimize the following Boolean equation using K map method (A + B).(A + B).C +(A B)+(COB) + B.(A+) (4 Marks) Q4.Subtract the following hexadecimal numbers using 2's complement method FB)16-A5)16 (3 Marks)

Answer 1

1.) Ginen i When camp is ON = 1 (response) When lamp is off = 0 (response ) According to the given Condition, we have forn frout Switch (s.) Backswitch (32) Lamp Dets 1 so from abone Ceanad truth table it is clear that the giner condition is similar to the truth teable of "XACOR logic gate.. So the logic arcuit for the given condition is as followed. O - swa S W₂ c - SW, sw2. - SW, 3W2 + 5w, swa ABC 2. Ginen: Y= (ABC) + (ABC) + (A.B.c) I ~ = (ATB + E) + A + B + e +(ABC) (AB) - A+BY & LA-AY 2 Y = A + B + C + A + B + ĀBC e + Trocher sicneture

Y = (A+Ā) +(+2) + (14ĀS) I & Any input add with Page No. I gives output) Y = I ATA2 1. 1 + 1 + B 1 18+ = 1 CaltÃc=1 1. fi. Anything added to 1 gives has a - Y = output o The Truth table for Y=(ABE) (ABC) + (ABC) is o o it o21 O 11