Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 4, Problem 5P
(a)
Program Plan Intro
To explain that if at least
(b)
Program Plan Intro
To show that
(c)
Program Plan Intro
To show the good chips can be identified with
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Course Code: CCCN 212
Course Name: Digital Logic Design
Assignment # 2
Targeted Course Learning Outcomes: CLO 2.1
Question 1: Create a circuit that compares two 2-bit numbers A and B. It should produce a 1 if A is smaller tha
B, and 0 otherwise. To accomplish this task, you can create a 1-bit circuit, then use it twice to make it a 2-bit
circuit.
Question 2: Given the following 5-bit signed numbers, calculate A - B.
Binary Numbers Subtraction
Equivalent decimal Subtraction
A = 10100
B = 00100
A sequential circuit has one input X and four outputs Z₁ Z₂ Z3 Z4. Z1 Z2 Z3 Z4
represents the gray code encoded number equal to the number of pairs of adjacent
1's that have been received as inputs. Use the gray code that is on page 22 of
the textbook. For example, if the circuit had received 7 pairs of 1's as inputs,
Z₁ Z2 Z3 Z4 = 1011. In addition, the circuit resets when the circuit receives 5 pairs
of 1's. Find a Moore state graph and table for the circuit.
Examples
Input sequence:
Output sequences:
X = 1 0 1 1 1 0 0 1 1 0 1 1 0 1 0 1 1 10
Z₁ = 0 0 0 0 0 0000000000100
Z₂ 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0
Z3 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0
-
Z4 = 0 0 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0
X
11111111
Input sequence:
Output sequences:
Z₁ = 0 0 0 0 0 100
Z2 0 0 0 0 1 100
=
Z3
=
0 0 1 1 1 1 0 0
Z4 0 1 1 0 0 0 0 1
=
s A synchronous state machine has
two inputs (X1 and X2) and two
outputs (Z1 and Z2). The inputs
represent a 2-bit binary number
(N). If the present value of (N) plus
the previous value of (N) is
greater than (2), then (Z1=1). If the
present value of (N) times the
previous value of (N) is greater
than (2), then (Z2=1). Otherwise,
(Z1Z2=00). When the first pair of
inputs is received, use (0) as the
previous value of (N). the circuit
of the aforementioned state
machine includes . . NOT-
* .gates
Chapter 4 Solutions
Introduction to Algorithms
Ch. 4.1 - Prob. 1ECh. 4.1 - Prob. 2ECh. 4.1 - Prob. 3ECh. 4.1 - Prob. 4ECh. 4.1 - Prob. 5ECh. 4.2 - Prob. 1ECh. 4.2 - Prob. 2ECh. 4.2 - Prob. 3ECh. 4.2 - Prob. 4ECh. 4.2 - Prob. 5E
Ch. 4.2 - Prob. 6ECh. 4.2 - Prob. 7ECh. 4.3 - Prob. 1ECh. 4.3 - Prob. 2ECh. 4.3 - Prob. 3ECh. 4.3 - Prob. 4ECh. 4.3 - Prob. 5ECh. 4.3 - Prob. 6ECh. 4.3 - Prob. 7ECh. 4.3 - Prob. 8ECh. 4.3 - Prob. 9ECh. 4.4 - Prob. 1ECh. 4.4 - Prob. 2ECh. 4.4 - Prob. 3ECh. 4.4 - Prob. 4ECh. 4.4 - Prob. 5ECh. 4.4 - Prob. 6ECh. 4.4 - Prob. 7ECh. 4.4 - Prob. 8ECh. 4.4 - Prob. 9ECh. 4.5 - Prob. 1ECh. 4.5 - Prob. 2ECh. 4.5 - Prob. 3ECh. 4.5 - Prob. 4ECh. 4.5 - Prob. 5ECh. 4.6 - Prob. 1ECh. 4.6 - Prob. 2ECh. 4.6 - Prob. 3ECh. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - Prob. 3PCh. 4 - Prob. 4PCh. 4 - Prob. 5PCh. 4 - Prob. 6P
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