Digital Logic Design

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 UNIT I

• Digital systems, Binary numbers, Number base conversions, 
• Octal and Hexadecimal numbers, 
• Complements, Signed binary numbers, 
• Binary codes, Error detection and Error correction codes. 
• Boolean Algebra and Logic Gates: Basic definitions, 
• Axiomatic definition of Boolean algebra, basic theorems and properties of Boolean algebra, 
• Boolean functions, canonical and standard forms, 
• Other logic operations, digital logic gates.

UNIT II 

• GATE level minimization, 
• Logic gates and Logic families, 
• The K-map method, four-variable map, five-variable map, 
• Product of sums simplification, don’t-care conditions, 
• NAND and NOR implementation, 
• Determination and selection of Prime Implicants, 
• Essential and Nonessential prime Implicants.

UNIT III 

• Combinational logic and their Design procedure, 
• Binary Adder, 
• Binary Subtractor, 
• Binary Multiplier, 
• Magnitude Comparator, 
• Encoders, Decoders, 
• Multiplexers, and Demultiplexers.
• Memories such as ROM, RAM, EPROM.

UNIT IV 

• Sequential logic and circuits, latches, flip-flops, 
• Analysis of clocked sequential circuits, State reduction and assignment, Design procedure. 
• Registers, shift registers, 
• Counters, Ripple counters, synchronous counters, Counters with unused states, 
• Ring counter, Johnson counter. 
• Random access memory, memory decoding, error detection and correction, 
• Read only memory, 
• Programmable logic array, programmable array logic, 
• Sequential programmable devices. 
• A/D and D/A converters.

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