Boolean Logic Draw the truth table for the following functions: F(A,B)=AB+(A+B) F(A,B,C)=AB+BC+CA F(A,B,C,D)=ABC+ABD+BC¯D Digital Circuits Draw the truth tables for the following Boolean expressions. xy+yz+xz x¯y+yz¯+x¯z (x⊕y)+(y⊕z)+(x⊕z) (xy)¯⊕z Draw circuit diagrams implementing each of the above expressions. You may simplify the expressions or not, as you choose. You may use any of the six fundamental logic gates (AND, OR, NOT, NAND, NOR and XOR).

Boolean Logic

1. Draw the truth table for the following functions:

• • F(A,B)=AB+(A+B)
  • F(A,B,C)=AB+BC+CA
  • F(A,B,C,D)=ABC+ABD+BC¯D

Digital Circuits

1. Draw the truth tables for the following Boolean expressions.

• • xy+yz+xz
  • x¯y+yz¯+x¯z
  • (x⊕y)+(y⊕z)+(x⊕z)
  • (xy)¯⊕z

1. Draw circuit diagrams implementing each of the above expressions.

• • You may simplify the expressions or not, as you choose.
  • You may use any of the six fundamental logic gates (AND, OR, NOT, NAND, NOR and XOR).