Boolean Algebra and Logic Gate Applications in Digital Electronics Education at Federal Polytechnics in Kano State

This study investigates the teaching and application of Boolean algebra and logic gate theory within digital electronics programmes at federal polytechnics in Kano State, North West Nigeria, examining students' conceptual understanding, instructional approaches, and the alignment of curricula with contemporary digital systems design practice. Boolean algebra provides the mathematical foundation for logic circuit design, and its mastery is essential for students pursuing careers in electrical engineering, computer engineering, and information technology. The study adopts a mixed-methods design, combining structured tests of Boolean algebra competency administered to 180 Higher National Diploma students across two federal polytechnics in Kano and Wudil with semi-structured interviews conducted with twelve mathematics and electronics lecturers. Competency test results are analysed using descriptive statistics and t-tests comparing performance across institutions and programme years. Interview data are thematically coded to identify instructional strategies, perceived barriers, and recommendations from teaching staff. Results indicate that students exhibit particular difficulty with multi-variable simplification using Karnaugh maps and De Morgan's theorems, while demonstrating relatively stronger performance on basic two-variable operations. Lecturers attribute conceptual difficulties in part to inadequate laboratory equipment limiting hands-on circuit implementation. The study recommends the integration of simulation software such as Logisim into classroom instruction as a low-cost complement to physical laboratory work. Keywords: Boolean algebra, logic gates, digital electronics, polytechnic education, Kano State