[1] He later studied mathematics and physics at City College of New York (1944 to 1948) and transferred to Yale University to complete his B.Sc.
(1950) and Ph.D. in physics with a thesis on The Theory of Magnetic Resonance and Lambda-Type Doubling in Nitric-Oxide (1952).
[1] At Bell Labs, (1952 to 1966), developing the Karnaugh map (1954) as well as patents for PCM encoding[2] and magnetic logic circuits and coding.
[7] Karnaugh was elected an IEEE Fellow in 1976, and held an adjunct position at Polytechnic University of New York (now New York University Tandon School of Engineering) at the Westchester campus from 1980 to 1999.
While at Bell Labs, in 1953 Karnaugh invented a form of logic diagram which provides an alternative technique for representing Boolean functions.