Hood College Math Excercises i have homwork in Computer Organization Homework #2 Do the following exercises. 1. Do Exercise 2.4.a on p.49 of your text. 2.

Hood College Math Excercises i have homwork in Computer Organization Homework #2
Do the following exercises.
1. Do Exercise 2.4.a on p.49 of your text.
2. Simplify the following Boolean expressions using the identities given to you.
ab+c+b
3. Do the following exercises from p. 49 of your text.
a. Exercise 2.6.b.
b. Exercise 2.7.b.
4. For the following function:
h=xyzw+xyzw+x=y-Z.W+xyzw+x).Z.W+xyzw+x y z w+XyZw
a) Draw the truth table for the function h.
b) Show the Karnaugh-map for h.
c) Give the simplified equation for h, derived from the K-map.
d) Draw the circuit schematic for the simplified circuit, using Logisim.
5. You are to design a divider circuit. Your circuit takes in a 3-bit number, x, and outputs
a 2-bit number p. The output p is defined as p=[x/3]. Show your truth table, K-
maps, simplified equations, and circuit diagram.
2.4 Exercises
2.1 Write the following integers in (1) decimal, (2) in 8-bit binary, and (3) in hexadecimal.
a. 109 decimal.
2.6 Use K-maps to simplify the following Boolean functions.
a. f= a b c + abc+bc+bc + abc
b. f= ac + a b c + a ºbc+abc-
c. f= a b c + a b c + a b c + abc-
2.7 Use K-maps to simplify the following Boolean functions.
a. g = x y z w+xyzºw+xz”.W + x^2-.W- + x y zw – + xz w
b. g = xyz + xyz + xyz..w” + xyz + xyz w

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