ECE 320 R.Roosta Homework 3: (CSUN)

1. 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)

1. Redesign circuit below using just NOR gates:

a

      b

 c

d

a

1. 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

1. 4.       Design an 8 bit two’s complement generator.

1. 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).

(A)   Iterative circuit

(B)   Sub block

1. 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.