• Cadenti
  logic family
  medium scale integration
  metal oxide semiconductor
  ac register
  accumulator logic
  adder circuit
  basic computer design
  branch unconditionally
  flowchart
  input and output communication
  input output instruction
  input register
  interrupt cycle
  logic adder circuits
  logic gates
  output register
  register and memory
  binary code
  binary number
  clock pulse
  data types
  decimal numbers
  

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A Boolean function can be transformed from an algebraic expression into a logic diagram composed of AND, OR, and inverter gates. The logic diagram for F is shown in Fig. 1-3(b). There is an inverter for input y to generate its complement y'. There is an AND gate for the term y'z, and an OR gate is used to combine the two terms. In a logic diagram, the variables of the function are taken to be the inputs of the circuit, and the variable symbol of the function is taken as the output of the circuit.

The purpose of Boolean algebra is to facilitate the analysis and design of digital circuits. It provides a convenient tool to:

1. Express in algebraic form a truth table relationship between binary variables.

2. Express in algebraic form the input-output relationship of logic diagrams.

3. Find simpler circuits for the same function.

Figure 1-3

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