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Number Systems And Codes

Common number systems used when working with computer include :   a) BASE 10   ( Decimal )   b) BASE 2   ( Binary )   c) BASE 8   ( Octal )   d) BASE 16   ( Hexadecimal )    Decimal number ( BASE 10 ) Contains 10 symbols and is sometimes called the BASE 10 system.   0, 1, 2, 3, 4, 5, 6, 7, 8 and 9 Ex :   24 10 , 45 10 , 86 10   Binary number ( BASE 2 ) T he binary number system uses only the two symbols 0 and 1 and is sometimes called the  BASE 2 system. E x :   0, 1, 10, 11, 110, 111, 1000, 1001 Ex :   11 2 , 1010 2 , 101 2     Octal number ( BASE 8 ) The octal number system uses the eight symbols 0, 1, 2, 3, 4, 5, 6 and 7. Octal numbers are also referred to as BASE 8 number. Ex :   37 8 , 52 8 , 46 8 Hexadecimal number ( BASE 16 ) The hexadecimal number system uses the 16 symbols 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E and F. I s referred to as the BASE 16 system. Ex : 2DF 16 , 3D8 16 , 6AF 16 [A=10, B=11,
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Suggested Sequence of Topics (SST)

1.0        NUMBER   SYSTEMS AND CODES                                                       Decimal, binary, octal and hexadecimal number systems; Two’s complement systems; BCD 8421 and ASCII Code.   2.0        BOOLEAN OPERATIONS                                                                            Symbols, truth table, logic gates applications; NOT, AND, OR, NOR, NAND, XOR, XNOR. Laws of Boolean Algebra, Sum of Product (SOP), Product of Sum (POS) and Karnaugh Map.   3.0        DATA PROCESSING CIRCUITS                                                               Encoder, Decoder, BCD to Seven Segment Display Decoder, Multiplexer and Demultiplexer.   4.0        FLIP-FLOPS                                                                                                    Types of flip-flops: SR flip-flop, clocked SR flip-flop, T flip-flop, D flip-flop and JK flip-flop.   Symbols, truth tables and timing.   5.0        COUNTERS                    
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Course Outline

SESI DISEMBER 2018   COURSE LEARNING OUTCOMES (CLO) Upon completion of this course, students should be able to:- 1. Apply the knowledge of various number systems codes, logic operations and logic gates in digital systems. (C3, PL01) 2. Design combinational or sequential logic circuits using Boolean algebra or Karnaugh Map. (C5, PLO4) 3. Manipulate the design of logic diagrams, truth tables and timing diagrams for logic gates and flip-flops and implement them in combinational and sequential logic circuits. (P4, PLO5) STUDENT LEARNING TIME (SLT) NO TOPICS LECTURES (HOURS) PRACTICAL (HOURS) ASSESSMENT (HOURS) INDEPENDENT LEARNING (HOURS) 1.0 NUMBER SYSTEMS AND CODES Decimal, binary, octal and hexadecimal number systems; Two’s complement systems; BCD 8421 and ASCII Code. 6 0 5 (Quiz, Test, Practical Work), Final Exam – 2 78 (End Of Chapter -10, Preparation Lecture – 30, Prepar
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