EE 110 Fall 2016
Homework 02
D. Willie
Homework is due, Wed September 14 in class. 25% credit off before midnight (scan and email). After
midnight no credit! 7 problems, 100 points total
Write your name, the assignment name, and the date at the top of the
gebraic forms of Boolean functions 1. SOP and POS forms
a. SOP: Sum of Product
e.g. (A, B, C) = ABBC + BBCB + ABBCB
The output will be 1 if one or more terms are 1!
b. POS: Product of Sum e.g. (A, B, C) = (A + BB + C)(BB + CB)(AB + B + CB)
The output will
Fundamental theorems of Boolean Algebra 1. Theorem: a statement that has been proven on the basis
of previously established statements, such as the postulates. 2.
Theorem 1: Idempotency
+=
dual: =
Proof: 3.
Theorem 2: Nullity:
+1=1
dual: 0 = 0
Proof: 4.
important things how to understand waveforms.
1. Periodic
2. Aperiodic
3. Pulse
Periodic :
Time Low (tl):
Time during one period that a waveform is in the LOW state.
Unit: seconds (s)
Time HIGH (th):
Time during one period that a waveform is in the HIGH s