CS120A – Homework #1
Given June 27, 2002. Due July 2, 2002
1. Write the structural VHDL code for the circuit below. You need to include both the entity
and architecture sections. Assume that all the needed components are already defined. (3)
A B C
F
2. Derive the truth table for the function
F = (AB' + BC )' ⊕ (A B') (3)
3. From the truth table obtained in question 2, derive the equation for F using the shorthand
notation in the product-of-maxterms format. (3)
4. Use Boolean algebra to convert the function
F = (AB' + BC )' ⊕ (A B')
to its sum-of-products format. (3)
5. Using basic 2-input gates, and NOT gates, construct the circuit for the function
F = (AB' + BC )' ⊕ (A B')
without any simplification of the equation. (3)
6. Use Boolean algebra to simplify the following equation as much as possible and draw the
circuit for it. (3)
F = (AB' + BC )' ⊕ (A B')