Mathematics for Digital TechniquesLaajuus (3 ECTS)

Objective

After completing the course, the student will know the basic concepts related to number systems, remainder classes, codes, switching algebra and digital circuits.

After completing the course, the student will be able to construct and analyse simple switching and logic circuits.

Content

- introduction to the mathematics of digital systems
- number systems, their arithmetics and conversions
- remainder classes and their arithmetics
- floating point arithmetic
- codes
- Boolean algebra, switching and logic circuits
- simplifying Boolean expressions by Karnaug maps
- structure of sequential logic circuits (only the block diagrams) and the concept of a logical state

Qualifications

No pre-requisite studies.

Assessment criteria, satisfactory (1)

The student knows how to design a simple combinatorial circuit and simplify expressions using Karnaugh maps. The student is able to make conversions from decimal to binary and vice versa. The student understands addition using unsigned binary numbers.

Assessment criteria, good (3)

The student knows how to design a simple combinatorial circuit and simplify expressions using Karnaugh maps. The student is able to make conversions from decimal to binary and vice versa. The student knows how make additions using unsigned binary numbers. The student understands representation of negative numbers in two's complement system and understands addition and subtraction of two's complement numbers.

Assessment criteria, excellent (5)

The student knows how to design a simple combinatorial circuit and simplify expressions using Karnaugh maps. The student is able to make conversions from decimal to binary and vice versa. The student knows how make additions using unsigned binary numbers. The student understands representation of negative numbers in two's complement system and understands addition and subtraction of two's complement numbers. The student is able to use switching algebra theorems to simplify and convert expressions. The student understands conversions between numeral systems of different bases.