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## Concept of digital systems and number systems conversion.

#### Question Preview:

This assignment provides students with sound knowledge of the principles and practices of digital systems. Students will be able to perform some of the digital system concepts such as number systems, logic gates. It tests the knowledge ofKarnaugh maps and derivation of Boolean expressions. After completion of this unit students are expected to be able to: a) Understand the principle of operation and design of a wide range of digital electronic circuits.b) Design digital circuits utilizing Digital Number Theory, Boolean algebra, Logic Theorems and Rules, Karnaugh Maps, advanced minimization tec...

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#### Question Preview:

This assignment provides students with sound knowledge of the principles and practices of digital systems. Students will be able to perform some of the digital system concepts such as number systems, logic gates. It tests the knowledge ofKarnaugh maps and derivation of Boolean expressions. After completion of this unit students are expected to be able to: a) Understand the principle of operation and design of a wide range of digital electronic circuits.b) Design digital circuits utilizing Digital Number Theory, Boolean algebra, Logic Theorems and Rules, Karnaugh Maps, advanced minimization techniques, and State Machine design.c) Be able to undertake digital circuit design and laboratory work, and to successfully present their electronic designs in written report form.

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## Solution Preview

Number conversion systema) Binary to Decimal Number ConversionI. (1011000) 2 = 1 * 2 6 + 0 * 2 5 + 1 * 2 4 + 1 * 2 3 + 0 * 2 2 + 0 * 2 1 + 0 * 2 0 = (88) 10II. (11111000) 2 = 1 * 2 7 + 1 * 2 6 + 1 * 2 5 + 1 * 2 4 + 1 * 2 3 + 0 * 2 2 + 0 * 2 1 + 0 * 2 0 = (248) 10

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