ECE 320 – Homework No.3 R. Roosta
1. Simplify following functions using Kmap:
a) F(w,x,y,z) = ∑(1,3,5,7), d(2,6,10,14)
b) F(A,B,C,D) = ∑(0,4,12,15), d(2,3,8,14)
c) F(A,B,C,D) = ∏(5,7,8,9,10,11,12,14), d(1,3,13,15)
d) F(A,B,C,D,E) = ∏ (7,9,11,13,15), d(1,3,6,14)
2. Redesign circuit below using just NOR gates:
a
b
c
d
a
3. What is the equation for the circuit below (step by step write the equivalent equation in the output of every gate)?
a
b
c
d
e
4. Design an 8 bit two’s complement generator.
5. Iterative circuit below implements a comparator that compares two binary numbers A= A3A2A1A0 and B = B3B2B1B0 and gives us two outputs x and z that mean like below:
x=1 if A>B
z=1 if B>A
Design and implements the sub block shown in figure (B) and put right value on the inputs x and z of B#3 in figure (A).
B3
B2
B1
B0
?
?
A3
A2
A1
A0
B3
B2
B1
B0
X3
Y3
X2
Y2
X1
Y1
X0
Y0
(A) Iterative circuit
Bi
Ai
Bi
Xi+1
Yi+1
Xi
Yi
(B) Sub block
6. Use full adder and design a 4 bits add/subtract block that performs A+B when f=0 and A-B when f=1.
1
mwasking
ece_320_r.roosta_homework_3.docx
0
