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<title>Ask Ghassem - Recent questions tagged discrete-math</title>
<link>https://ask.ghassem.com/tag/discrete-math</link>
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<title>Intermittent Mathematics (Logarim)</title>
<link>https://ask.ghassem.com/986/intermittent-mathematics-logarim</link>
<description>&lt;p&gt;&lt;strong&gt;The old keypad of the telephone, it has 10 numbers (10 keys) , this keypad allows the user to enter a text by successively pressing certain key many times in a small period of time. you need to draw a graph of entering a text input using this keypad.&amp;nbsp; after that you need to have a certain algorithm of finding the length of a path to enter certain text&lt;br&gt;
example&amp;nbsp;&lt;br&gt;
aaa&amp;nbsp; &amp;nbsp;--&amp;gt; 6&lt;br&gt;
aba&amp;nbsp; &amp;nbsp;--&amp;gt; 5&lt;/strong&gt;&lt;/p&gt;

&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;&lt;strong&gt;the link below shows the phone keypad&lt;/strong&gt;&lt;/p&gt;

&lt;p&gt;&lt;a rel=&quot;nofollow&quot; href=&quot;https://commons.wikimedia.org/wiki/File:Telephone-keypad.png&quot;&gt;https://commons.wikimedia.org/wiki/File:Telephone-keypad.png&lt;/a&gt;&lt;br&gt;
&amp;nbsp;&lt;/p&gt;</description>
<category>Web Development</category>
<guid isPermaLink="true">https://ask.ghassem.com/986/intermittent-mathematics-logarim</guid>
<pubDate>Wed, 05 May 2021 12:16:20 +0000</pubDate>
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<title>Probability of a bus arrived in its destination based on weather condition</title>
<link>https://ask.ghassem.com/953/probability-arrived-destination-based-weather-condition</link>
<description>A bus is making its way to a destination. If the weather conditions are favorable today, the likelihood of delay is 3%. If the weather conditions are not favorable today, the likelihood of delay is 50%. The forecast predicts that it is 20% likely that the weather conditions will be favorable today.&lt;br /&gt;
&lt;br /&gt;
1. What is the likelihood that the bus will be delayed?&lt;br /&gt;
&lt;br /&gt;
2. The bus has arrived, but it was delayed. Given that the bus was delayed, what is the likelihood that the weather conditions were favorable?</description>
<category>Discrete Mathematics</category>
<guid isPermaLink="true">https://ask.ghassem.com/953/probability-arrived-destination-based-weather-condition</guid>
<pubDate>Mon, 09 Nov 2020 13:06:47 +0000</pubDate>
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<title>can someone send me an online link to discrete mathematics 8th edition textbook?</title>
<link>https://ask.ghassem.com/813/someone-send-online-discrete-mathematics-edition-textbook</link>
<description></description>
<category>Discrete Mathematics</category>
<guid isPermaLink="true">https://ask.ghassem.com/813/someone-send-online-discrete-mathematics-edition-textbook</guid>
<pubDate>Thu, 13 Feb 2020 00:22:28 +0000</pubDate>
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<title>Understanding symbolic language of problem, quantificational  logic</title>
<link>https://ask.ghassem.com/786/understanding-symbolic-language-problem-quantificational</link>
<description>&lt;p&gt;Hi, i am having trouble interpreting the information contained in the relation &lt;strong&gt;R, &lt;/strong&gt;and how it should be applied to the Ps in this problem:&lt;/p&gt;

&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;blockquote&gt;
&lt;p&gt;Consider the formula&amp;nbsp;&lt;/p&gt;

&lt;h3&gt;∃x∃y∃z(P(x,y)∧P(z,y)∧P(x,z)∧¬P(z,x))&lt;/h3&gt;

&lt;p&gt;Under each pf these interpretations, is this formula true? In each case, R is the relation corresponding to P.&lt;/p&gt;

&lt;p&gt;(a) U = N,&amp;nbsp; &amp;nbsp;&lt;strong&gt;R = {&amp;lt;x,y&amp;gt; : x&amp;lt;y}.&lt;/strong&gt;&lt;/p&gt;

&lt;p&gt;(b) U = N,&amp;nbsp; &amp;nbsp;&lt;strong&gt;R = {&amp;lt;x,x+1&amp;gt; : x≥0}.&lt;/strong&gt;&lt;/p&gt;
&lt;/blockquote&gt;

&lt;p&gt;&amp;nbsp;&lt;/p&gt;
&lt;p&gt;Does &amp;lt;x,y&amp;gt; refer to the variables x,y or z in each P(a,b), and the :x&amp;lt;y refer to what the relation between these two should be?&lt;/p&gt;

&lt;p&gt;I tried something like this for (a) and got:&lt;/p&gt;

&lt;p&gt;∃x∃y∃z((x&amp;lt;y)∧(z&amp;lt;y)∧(x&amp;lt;z)∧¬(z&amp;lt;x))&lt;/p&gt;

&lt;p&gt;However I&#039;m not sure if this is correct, and I&#039;m not sure how I would do it for (b)&lt;/p&gt;</description>
<category>Discrete Mathematics</category>
<guid isPermaLink="true">https://ask.ghassem.com/786/understanding-symbolic-language-problem-quantificational</guid>
<pubDate>Sun, 26 Jan 2020 11:18:05 +0000</pubDate>
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<title>What are the values stored in tc8 format for the following numbers?</title>
<link>https://ask.ghassem.com/782/what-are-the-values-stored-tc8-format-for-following-numbers</link>
<description>&lt;p&gt;Q1) Calculate tc8 of -117,&amp;nbsp;-127, 127, 0&lt;/p&gt;

&lt;p&gt;Q2) What values are stored in the following tc8 registers:&lt;/p&gt;

&lt;ol&gt;
&lt;li&gt;10010001&lt;/li&gt;
&lt;li&gt;00010001&lt;/li&gt;
&lt;li&gt;01111111&lt;/li&gt;
&lt;li&gt;0000000&lt;/li&gt;
&lt;li&gt;11111111&lt;/li&gt;
&lt;/ol&gt;</description>
<category>Discrete Mathematics</category>
<guid isPermaLink="true">https://ask.ghassem.com/782/what-are-the-values-stored-tc8-format-for-following-numbers</guid>
<pubDate>Thu, 23 Jan 2020 19:27:01 +0000</pubDate>
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<title>How to calculate $g[h(3)]$ if $g(x)= 2x+3$ and $h(x) =4x+5$ ?</title>
<link>https://ask.ghassem.com/766/how-to-calculate-g-h-3-if-g-x-2x-3-and-h-x-4x-5</link>
<description>Need help solving this question</description>
<category>Discrete Mathematics</category>
<guid isPermaLink="true">https://ask.ghassem.com/766/how-to-calculate-g-h-3-if-g-x-2x-3-and-h-x-4x-5</guid>
<pubDate>Fri, 06 Dec 2019 00:47:26 +0000</pubDate>
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<title>How do i find the inverse of the function?</title>
<link>https://ask.ghassem.com/763/how-do-i-find-the-inverse-of-the-function</link>
<description>If $h(x) =4x+5$, how do i find h inverse of x?</description>
<category>Discrete Mathematics</category>
<guid isPermaLink="true">https://ask.ghassem.com/763/how-do-i-find-the-inverse-of-the-function</guid>
<pubDate>Thu, 05 Dec 2019 23:10:55 +0000</pubDate>
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<title>Could you please share cheat sheet of Logic Operations?</title>
<link>https://ask.ghassem.com/303/could-you-please-share-cheat-sheet-of-logic-operations</link>
<description></description>
<category>Discrete Mathematics</category>
<guid isPermaLink="true">https://ask.ghassem.com/303/could-you-please-share-cheat-sheet-of-logic-operations</guid>
<pubDate>Mon, 08 Oct 2018 17:49:42 +0000</pubDate>
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<title>What&#039;s the differences between [NOT p OR NOT q]  and [NOT (p OR q) ]</title>
<link>https://ask.ghassem.com/302/whats-the-differences-between-not-p-or-not-q-and-not-p-or-q</link>
<description>I think these two statements are similar, can anyone tell me the differences?</description>
<category>Discrete Mathematics</category>
<guid isPermaLink="true">https://ask.ghassem.com/302/whats-the-differences-between-not-p-or-not-q-and-not-p-or-q</guid>
<pubDate>Mon, 08 Oct 2018 16:24:05 +0000</pubDate>
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<title>What does verifying message integrity have to do with boolean simplification and truth tables?</title>
<link>https://ask.ghassem.com/271/verifying-message-integrity-boolean-simplification-tables</link>
<description>&lt;p&gt;In an assignment, I have the question :&lt;/p&gt;

&lt;p&gt;&amp;nbsp;&lt;/p&gt;

&lt;p&gt;“Based on this assignment, I can be more confident in myself.”&lt;/p&gt;

&lt;p&gt;Show that the message is not/is corrupted based on the following two scenarios:&lt;/p&gt;

&lt;ol style=&quot;list-style-type:lower-alpha&quot;&gt;
	&lt;li&gt;The same message is received at the destination, and&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;(10 marks)&lt;/li&gt;
	&lt;li&gt;the word “more” in the above message is replaced with the word “less”. &amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;&amp;nbsp;(10 marks)&lt;/li&gt;
&lt;/ol&gt;

&lt;p&gt;&amp;nbsp;&lt;/p&gt;

&lt;p&gt;What is this question asking? Perhaps it wants me to convert the message into a boolean expression? Even then, how can I show that its &quot;corrupted&quot; or not.&amp;nbsp;&lt;/p&gt;</description>
<category>Discrete Mathematics</category>
<guid isPermaLink="true">https://ask.ghassem.com/271/verifying-message-integrity-boolean-simplification-tables</guid>
<pubDate>Thu, 04 Oct 2018 14:54:04 +0000</pubDate>
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<title>What is the priority order of Either Or (EOR) when constructing truth tables</title>
<link>https://ask.ghassem.com/261/what-priority-order-either-when-constructing-truth-tables</link>
<description>&lt;p&gt;In terms of the precedence order of operative, it followings like this&lt;/p&gt;

&lt;table border=&quot;1&quot; cellpadding=&quot;1&quot; style=&quot;width:100px; border-spacing: 1px;&quot;&gt;
	&lt;tbody&gt;
		&lt;tr&gt;
			&lt;td&gt;Operative&lt;/td&gt;
			&lt;td&gt;Order&lt;/td&gt;
		&lt;/tr&gt;
		&lt;tr&gt;
			&lt;td&gt;NOT&lt;/td&gt;
			&lt;td&gt;1&lt;/td&gt;
		&lt;/tr&gt;
		&lt;tr&gt;
			&lt;td&gt;AND&lt;/td&gt;
			&lt;td&gt;2&lt;/td&gt;
		&lt;/tr&gt;
		&lt;tr&gt;
			&lt;td&gt;OR&lt;/td&gt;
			&lt;td&gt;3&lt;/td&gt;
		&lt;/tr&gt;
		&lt;tr&gt;
			&lt;td&gt;---&amp;gt;&lt;/td&gt;
			&lt;td&gt;4&lt;/td&gt;
		&lt;/tr&gt;
		&lt;tr&gt;
			&lt;td&gt;&amp;lt;--&amp;gt;&lt;/td&gt;
			&lt;td&gt;5&lt;/td&gt;
		&lt;/tr&gt;
	&lt;/tbody&gt;
&lt;/table&gt;

&lt;p&gt;But I was wondering waht would be the order of precedence&amp;nbsp;for the operative of EOR&lt;/p&gt;</description>
<category>Discrete Mathematics</category>
<guid isPermaLink="true">https://ask.ghassem.com/261/what-priority-order-either-when-constructing-truth-tables</guid>
<pubDate>Wed, 03 Oct 2018 18:26:01 +0000</pubDate>
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<title>Is this answer to a question counted as a legitimate answer</title>
<link>https://ask.ghassem.com/260/is-this-answer-to-a-question-counted-as-a-legitimate-answer</link>
<description>&lt;p&gt;I was doing an assignment and this is one of the questions&lt;/p&gt;

&lt;hr&gt;
&lt;p&gt;Q4)&amp;nbsp;(a) Find a compound proposition using only p, q, ¬, and the connective OR with the truth table at the right &amp;nbsp;(4 marks)&amp;nbsp;&lt;/p&gt;

&lt;table border=&quot;1&quot; cellpadding=&quot;1&quot; style=&quot;width:80px&quot;&gt;
	&lt;tbody&gt;
		&lt;tr&gt;
			&lt;td&gt;p&lt;/td&gt;
			&lt;td&gt;q&lt;/td&gt;
			&lt;td&gt;?&lt;/td&gt;
		&lt;/tr&gt;
		&lt;tr&gt;
			&lt;td&gt;T&lt;/td&gt;
			&lt;td&gt;T&lt;/td&gt;
			&lt;td&gt;F&lt;/td&gt;
		&lt;/tr&gt;
		&lt;tr&gt;
			&lt;td&gt;T&lt;/td&gt;
			&lt;td&gt;F&lt;/td&gt;
			&lt;td&gt;F&lt;/td&gt;
		&lt;/tr&gt;
		&lt;tr&gt;
			&lt;td&gt;F&lt;/td&gt;
			&lt;td&gt;T&lt;/td&gt;
			&lt;td&gt;T&lt;/td&gt;
		&lt;/tr&gt;
		&lt;tr&gt;
			&lt;td&gt;F&lt;/td&gt;
			&lt;td&gt;F&lt;/td&gt;
			&lt;td&gt;F&lt;/td&gt;
		&lt;/tr&gt;
	&lt;/tbody&gt;
&lt;/table&gt;

&lt;p&gt;&amp;nbsp;&lt;/p&gt;

&lt;p&gt;(b) Find another compound proposition that is based on the previous truth table&amp;nbsp;(4 marks)&lt;/p&gt;

&lt;hr&gt;
&lt;p&gt;So my answer to part (a) is: &amp;nbsp;NOT (p OR NOT q)&lt;/p&gt;

&lt;p&gt;And my answer to part (b) is:&amp;nbsp;NOT (NOT (NOT (p OR NOT Q)&amp;nbsp;&lt;/p&gt;

&lt;p&gt;I was wondering is my answer to part (b) is counted as a legit answer to the question, because it&#039;s right but it&#039;s not really expanding the information given and just using the&amp;nbsp;previous answer.&lt;/p&gt;</description>
<category>Discrete Mathematics</category>
<guid isPermaLink="true">https://ask.ghassem.com/260/is-this-answer-to-a-question-counted-as-a-legitimate-answer</guid>
<pubDate>Wed, 03 Oct 2018 18:13:44 +0000</pubDate>
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<title>Is there any easy way to draw the Truth Table for logic expressions?</title>
<link>https://ask.ghassem.com/187/there-any-easy-way-draw-the-truth-table-for-logic-expressions</link>
<description>I can solve the Truth Table, but do not know how to verify my answers. Could you please suggest a tool for it?</description>
<category>Discrete Mathematics</category>
<guid isPermaLink="true">https://ask.ghassem.com/187/there-any-easy-way-draw-the-truth-table-for-logic-expressions</guid>
<pubDate>Fri, 28 Sep 2018 17:37:33 +0000</pubDate>
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<title>Where can I find the solution manual for Discrete Mathematics and Its Applications by Rosen?</title>
<link>https://ask.ghassem.com/185/where-solution-manual-discrete-mathematics-applications</link>
<description>I am taking a math course and I am looking for solution manual of Discrete Mathematics and Its Applications by Rosen?</description>
<category>Discrete Mathematics</category>
<guid isPermaLink="true">https://ask.ghassem.com/185/where-solution-manual-discrete-mathematics-applications</guid>
<pubDate>Fri, 28 Sep 2018 17:10:54 +0000</pubDate>
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<title>Could you please share a good cheat sheet for logic gates?</title>
<link>https://ask.ghassem.com/181/could-you-please-share-a-good-cheat-sheet-for-logic-gates</link>
<description></description>
<category>Discrete Mathematics</category>
<guid isPermaLink="true">https://ask.ghassem.com/181/could-you-please-share-a-good-cheat-sheet-for-logic-gates</guid>
<pubDate>Fri, 28 Sep 2018 15:58:38 +0000</pubDate>
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<title>How can I convert between binary/hexadecimal numbers with decimals into a decimal number system</title>
<link>https://ask.ghassem.com/22/convert-between-binary-hexadecimal-numbers-decimals-decimal</link>
<description>I was wondering on how to convert between number systems when the factor of decimal in binary and hexadecimal numbers is in play. For example,&lt;br /&gt;
&lt;br /&gt;
Convert 011010.011b into a decimal number system&lt;br /&gt;
&lt;br /&gt;
or&lt;br /&gt;
&lt;br /&gt;
Convert 1C0DE.4Ah into a decimal number system</description>
<category>Discrete Mathematics</category>
<guid isPermaLink="true">https://ask.ghassem.com/22/convert-between-binary-hexadecimal-numbers-decimals-decimal</guid>
<pubDate>Sun, 16 Sep 2018 17:40:53 +0000</pubDate>
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<title>Where can I find some good Numbering System Exercises and learning it better?</title>
<link>https://ask.ghassem.com/20/where-find-some-numbering-system-exercises-learning-better</link>
<description>I have a math course at College and I am wondering if someone can show me resources I can use to improve my math skills in discrete math, especially for Number Systems?</description>
<category>Discrete Mathematics</category>
<guid isPermaLink="true">https://ask.ghassem.com/20/where-find-some-numbering-system-exercises-learning-better</guid>
<pubDate>Sun, 16 Sep 2018 00:43:41 +0000</pubDate>
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