Question

8).- The logic circuit shown is used to turn on a warning buzzer at X based on the input conditions at A, B, C and D. A simplified equivalent circuit that will perform the same function can be formed by using Boolean algebra and D'Morgan's Theorem. 1).- Write the Boolean equation of the circuit 2. Simplify the equation using Boolean Algebra and D'Morgan's Theorem. 3. Draw the logie circuit of the simplified equation (Hint: We using 4 Gates to build the original Circuit the Simplified Version should have less Gates). 10 Points 9.- For the following Boolean expressions white the Gates that produce this output. x = 11A - BIB + C)]B [ 2. & B. BET 5 Points

Answer 1

AB T D X = AB.AB. CFB X = AB.AB.C+D AB. CAD Do De CAD X= AB.AB.CTD

X= AB.ctd X= ĀB + CFD X= AB + C4D AB. AB=AB 1 X= ĀTB + CAD A.A=A A+B= A.By Demorgan's theoram. AB = ĀTĒ Ā = A. A Do Bon Ā+B+C+D 100 3 gaty used.

1) X= ((+)(B+c)]B AND, NOT, OR gaty ured (B+C) (A+B)(8+) x= b[{ata ]B+c]

2 X= AB. BtC NOT, AND, OR gaty used. B AB. Btc Btc BAC (or) AB. Btc B+C