First Assignment: Alarm System Circuit The circuit, with the four inputs below: A – Armed B – Door C – Glass D – Motion X = (A AND (B OR C OR D)) This is the productivity for the circuit and specified truth table. Stimulating the Glass, Motion, or Door input lines does not function the alarm except the alarm is armed. Second Assignment: Given Circuit Truth Table X = ((NOT A) AND B AND C) OR (A AND (NOT B) AND C) Assignment 3: Three-Input Exclusive NOR Gate Circuit To construct a three-input Exclusive NOR (XNOR) gate circuit using only AND, OR, NAND, NOR, and NOT gates, we can break down the XNOR gate behavior into a combination of these gates. The truth table for a three-input XNOR gate is as follows: State 1: A = 0, B = 0, C = 0, Output = 1 State 2: A = 0, B = 0, C = 1, Output = 0 State 3: A = 0, B = 1, C = 0, Output = 0 State 4: A = 0, B = 1, C = 1, Output = 1 State 5: A = 1, B = 0, C = 0, Output = 1