Programming in C
4th Edition
ISBN: 9780321776419
Author: Stephen G. Kochan
Publisher: Addison-Wesley
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Chapter 8, Problem 4E
If you take the value of N as computed in exercise 2, subtract 621,049 from it, and then take that result modulo 7, you get a number from 0 to 6 that represents the day of the week (Sunday through Saturday, respectively) on which the particular day falls. For example, the value of N computed for August 8, 2004, is 732.239 as derived previously. 732,239 – 621,049 gives 111,190. and 111,190 % 7 gives 2, indicating that this date falls on a Tuesday.
Use the functions developed in the previous exercise to develop a
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The Problem
A Zeckendorf number is defined for all positive integers as the number of Fibonacci numbers which must be added to equal a given number k. So, the positive integer 28 is the sum of three Fibonacci numbers (21, 5, and 2), so the Zeckendorf number for k = 28 is three.
Wikipedia is a satisfactory reference for our purposes for more details of the Zeckendorf and Fibonacci numbers. In both cases, you do not need to read the entire Wikipedia entry.
Your assignment is to write two ARM assembly language functions which calculate Zeckendorf and Fibonacci numbers.
Zeck function
The first function, which should be named zeck, receives an integer parameter in register zero. This will be the variable k we discussed above. Your code should return the Zeckendorf number for k in register zero when complete.
If the parameter k is zero, return zero.
If the parameter k is negative, return minus 1.
If the parameter k is too large to calculate, return minus 1.
Fib function
The other function,…
To represent an integer value of n in decimal, we need to use ⌈log10(n + 1)⌉ digits . Verify this using n = 35, 1290. Note that for any real number x, ⌈x⌉ is the smallest integer that is greater than x, this means we always round up. For example, ⌈10.3⌉ = 11, ⌈−5.2⌉ = −5.
To represent an intege value of n in binary, we need to use ⌈log2(n + 1)⌉ binary digits . Verify this using n = 35, 1290.
Use the definition of logarithmic function to show that
log2n / log10n = log210
Consider a base 26 number system wherein the letters of the alphabet are the digits.
That is, A=0, B=1, C=2, … Z=25 in base 10.
Use the MAL as a number in the base 26 system, and KHA as another number in the base 26 system.Add these numbers together to obtain the sum in based 26.
Example 1 — if your first name is “Peter” and your surname is “Pan”, then add up PET26 and PAN26, and show the sum in base 26.Example 2 — if your first name is “Peter” and your surname is “Pa”, then add up PET26 and PAA26, and show the sum in base 26.
Chapter 8 Solutions
Programming in C
Ch. 8 - Type in and run the seven programs presented in...Ch. 8 - In certain applications, particularly in the...Ch. 8 - Write a function e that takes as its arguments two...Ch. 8 - If you take the value of N as computed in exercise...Ch. 8 - Write a function called c that takes as its...Ch. 8 - Replace the d function from Program 8.4 with the...
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