Prelude to Programming
6th Edition
ISBN: 9780133750423
Author: VENIT, Stewart
Publisher: Pearson Education
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Textbook Question
Chapter 2, Problem 28RE
A number system that uses 7 as a base would be impossible to devise since only even numbers can be used as bases.
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Lab Task
Use your knowledge of number systems to solve the problem given below (Please show all intermediate steps):
1. Convert following Binary Numbers into Decimal
(i)
(ii)
(11010)2 = (
)10
(110101.11)2 = (
)10
2. Convert the following Hexadecimal Numbers into the base indicated
(i)
(ii)
(B65F)16 = (
)10
(3A6.C)16 = ( )2
3. Convert the following Decimal numbers into the base indicated:
(i)
(ii)
(41.6875)10 = (
)2
)16
(106.16)10 = (
University of leddah
4. Perform the addition (59F)16 + (E46)16:
5. Using 2's complement, perform M-N with the following unsigned binary numbers. Also check the result by
performing subtraction directly.
N = 1101
N = 10000
N = 10011
M = 11010
(i)
(ii)
M = 11010
M = 10010
(iii)
6. Search the internet to learn about Gray Code. Write the binary and Gray Code for decimal numbers between 0
and 15.
7. Using 2's complement, perform M- N with the following signed 5-bit binary numbers. Also check the result by
performing subtraction directly.
N = 01101
N = 10000
(i)…
A barcode scanner for Universal Product Codes (UPCs) verifies the 12-digit code scanned by
comparing the code's largest digit (called a check digit) to its own computation of the check digit
from the first 11 digits as follows:
1. Calculate the sum of the digits in the odd-numbered positions (the first, third,..... eleventh
digits) and multiply this sum by 3.
2. Calculate the sum of the digits in the even-numbered position (the second, fourth....tenth
digits) and add this to the previous result.
3. If the last digit of the result from step 2 is 0, then 0 is the check digit. Otherwise, subtract
the last digit from 10 to calculate the check digit.
4. If the check digit matches the final digit of the 12-digit UPC, the UPC is assumed correct
By using C++ write a program that prompts the user to enter the 12 digits of a barcode separated by
space.
The program should store the digits in an integer array, calculate the check digit, and compare it
to the final barcode digit. If the digits…
Digits for whole number amounts are separated from digits for fractional numbers in a positional numbering system.
Chapter 2 Solutions
Prelude to Programming
Ch. 2 - Given the number 108, ____________ is the base.Ch. 2 - Given the number 75, _____________ is the...Ch. 2 - When a base is raised to a power of ________, the...Ch. 2 - Prob. 4RECh. 2 - Prob. 5RECh. 2 - Prob. 6RECh. 2 - A floating point number has a(n) ______ part and...Ch. 2 - Prob. 8RECh. 2 - To convert the number 8.396052106 to regular...Ch. 2 - Using exponents, the number 1/1000 is ___________.
Ch. 2 - Prob. 11RECh. 2 - What is the decimal value of the 2 in the...Ch. 2 - Prob. 13RECh. 2 - Prob. 14RECh. 2 - Which of the following is not an integer? a. 5 b....Ch. 2 - Prob. 16RECh. 2 - Prob. 17RECh. 2 - Prob. 18RECh. 2 - Prob. 19RECh. 2 - Prob. 20RECh. 2 - Prob. 21RECh. 2 - To make it easier for a human to read a binary...Ch. 2 - Prob. 23RECh. 2 - Prob. 24RECh. 2 - Prob. 25RECh. 2 - Prob. 26RECh. 2 - The smallest unsigned integer that can be...Ch. 2 - A number system that uses 7 as a base would be...Ch. 2 - Prob. 29RECh. 2 - Prob. 30RECh. 2 - Prob. 31RECh. 2 - Prob. 32RECh. 2 - Prob. 33RECh. 2 - Prob. 34RECh. 2 - Prob. 35RECh. 2 - Prob. 36RECh. 2 - Prob. 37RECh. 2 - Prob. 38RECh. 2 - Prob. 39RECh. 2 - Prob. 40RECh. 2 - Prob. 41RECh. 2 - Prob. 42RECh. 2 - Prob. 43RECh. 2 - Prob. 44RECh. 2 - Prob. 45RECh. 2 - Prob. 46RECh. 2 - Prob. 47RECh. 2 - Prob. 48RECh. 2 - Prob. 49RECh. 2 - Prob. 50RECh. 2 - Prob. 51RECh. 2 - Prob. 52RECh. 2 - Prob. 53RECh. 2 - Prob. 54RECh. 2 - Prob. 55RECh. 2 - Prob. 56RECh. 2 - Prob. 57RECh. 2 - Prob. 58RECh. 2 - Prob. 1PCCh. 2 - Prob. 2PCCh. 2 - Prob. 3PCCh. 2 - Prob. 4PCCh. 2 - Prob. 5PC
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