A temperature measurement system is designed to measure the temperature range of 50 to 100 degrees $\mathrm{C}^{\circ}$, and uses a temperature transducer that changes resistance in proportion to temperature. The resistance is $1 \mathrm{k} \Omega$ at 50 degrees, and increases $1 \Omega$ per degree. Assume this device is placed in a Wheatstone Bridge circuit with three other resistors, each of $1 \mathrm{k} \Omega$, and the bridge is supplied by a voltage source of $5 \mathrm{~V}$.
(a) What is the output voltage of the bridge at 50 degrees?
(b) What is the output voltage of the bridge at 100 degrees?
(c) What signal conditioning is needed to provide this signal to an $A / D$ converter with an input voltage range of 0 to $3 \mathrm{~V}$ ?