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Electrical Engineering - ELEN 260

Digital Systems Design

  • Convert decimal numbers to binary and binary numbers to decimal
  • Convert binary numbers to hexadecimal and hexadecimal number to binary
  • Convert a number with an exponent into IEEE short floating point format
  • Express a number in BCD form
  • Add, subtract, and multiply numbers expressed in binary
  • Add, subtract, and multiply signed binary numbers
  • Name and draw the symbol for all of the one and two-input logical functions, e.g. NOT, AND, OR, NAND, NOR, XOR, ….
  • Draw and populate a truth table for all of the one and two-input logical functions
  • Identify common TTL and CMOS IC’s for the one and two-input logical functions
  • Logically extend the concepts and circuits in the one and two-input logical functions into multiple inputs
  • Apply Boolean algebra to reduce the number and types of terms in Boolean equations, i.e. simplify Boolean equations using Boolean algebra
  • State DeMorgan’s theorem
  • Use DeMorgan’s  theorem to simplify Boolean equations
  • Use DeMorgan’s theorem to achieve a particular design objective
  • Draw and fill out the truth table for any Boolean equation
  • Simplify any two, three, or four variable Boolean equation using a Karnaugh map
  • Design a binary adder (up to 8 bits)
  • Design a decoder
  • Implement Boolean functions in hardware using encoders and decoders
  • Complete the characteristic table for R-S, D, and J-K flops
  • Draw a state diagram for a counter with particular specifications
  • Draw a state diagram for a small state machine to solve a given problem, e.g. traffic light sequencing, coin machine operation, or others
  • Implement a state diagram using D flip flops and/or J-K flip flops
  • Explain the operation of a shift register using the circuit from one of the TTL or CMOS MSI Ics
  • Design a synchronous counter having unused states, e.g. divide-by-ten circuit
  • Describe the transistor configurations for the NAND and NOR circuits in TTL
  • Describe the transistor configurations for the NAND and NOR circuits in CMOS

Prepared by Dr. Therrill Valentine, P.E.