Description
For this lab:
Show your steps taken to simplify functions.
Use logisim to draw circuits
1. Simplify the following (algebraically): (10 marks)
a. (a+b+c’)(a’b’+c)
b. x’y’z’ + w’x’yz’ + wx’yz’
2. A)Find complement of F=(a+c)(a+b’)(a’+b+c’)
and produce a truth table F’. (10 marks)
B) Find the complement for F using the Dual
Principle (5marks)
F= xy’z’ + w’x+yz’ + wx’yz’
3. Fill in the truth table and draw the logic circuit
(20 marks)
a. F= x’y’z’ +x’yz +x’yz’
b. F= ac’b+c’+d’b’
4. From the table produce the function expression as
sum of products ,i.e. f(xyz)=…+..+…, Simplify the
expression algebraically and draw the circuit for the
simplified expression. (15 marks)
5. Draw and fill in a K-map, produce minterms,
simplify function via K-map and draw circuit:
(45marks )
a. F(x,y,z,w)= wxy + yz + xy′z + wz′
b. F(A,B,C) = A’B’C’+ A’B + ABC’ + AC
c. F = A′BCD + ABC + CD+ B′D
