Born in Yankton, South Dakota, Bogue received a Bachelor of Science degree from South Dakota State College in 1941 and was in the United States Army Signal Corps during World War II, from 1943 to 1946.

He entered private practice in Parker, South Dakota later that year.

He was a judge of the Second Judicial District in Sioux Falls, South Dakota from 1967 to 1970.

[1] On March 19, 1970, Bogue was nominated by President Richard Nixon to a seat on the United States District Court for the District of South Dakota vacated by Judge Axel J. Beck.

He served as Chief Judge from 1980 to 1985, assuming senior status on July 1, 1985, and continuing to serve in that capacity until his death, on June 10, 2009, in Hisega, South Dakota.