Corporal Alexander was a member of Company K, 3rd Battalion, 223rd Infantry Regiment, 40th Infantry Division. On 2 July 1952, while fighting the enemy at Kumsong, North Korea, he was taken to the 11th Evacuation Hospital where he died of other causes.

Alexander was awarded the Combat Infantryman's Badge, the Korean Service Medal, the United Nations Service Medal, the National Defense Service Medal, the Korean Presidential Unit Citation and the Republic of Korea War Service Medal.