Discrete mathematics: Question about finite automata
$begingroup$
I have four questions about finite automata like these:

This is what I thought (I do not know it is correct or not):
(a) $L(M)$ is a set of strings which each of the string that the numbers of $1$ in the end is a multiple of $3$.
(b) $2$
(c) $5$
(d) I have no idea.
Can someone help me to solve these questions? Thank for your help.
discrete-mathematics
$endgroup$
add a comment |
$begingroup$
I have four questions about finite automata like these:

This is what I thought (I do not know it is correct or not):
(a) $L(M)$ is a set of strings which each of the string that the numbers of $1$ in the end is a multiple of $3$.
(b) $2$
(c) $5$
(d) I have no idea.
Can someone help me to solve these questions? Thank for your help.
discrete-mathematics
$endgroup$
add a comment |
$begingroup$
I have four questions about finite automata like these:

This is what I thought (I do not know it is correct or not):
(a) $L(M)$ is a set of strings which each of the string that the numbers of $1$ in the end is a multiple of $3$.
(b) $2$
(c) $5$
(d) I have no idea.
Can someone help me to solve these questions? Thank for your help.
discrete-mathematics
$endgroup$
I have four questions about finite automata like these:

This is what I thought (I do not know it is correct or not):
(a) $L(M)$ is a set of strings which each of the string that the numbers of $1$ in the end is a multiple of $3$.
(b) $2$
(c) $5$
(d) I have no idea.
Can someone help me to solve these questions? Thank for your help.
discrete-mathematics
discrete-mathematics
edited Dec 16 '18 at 6:25
Saad
19.7k92352
19.7k92352
asked Dec 16 '18 at 5:55
Sun Hao LunSun Hao Lun
61
61
add a comment |
add a comment |
0
active
oldest
votes
Your Answer
StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["$", "$"], ["\\(","\\)"]]);
});
});
}, "mathjax-editing");
StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "69"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);
StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});
function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: true,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: 10,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
noCode: true, onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});
}
});
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3042283%2fdiscrete-mathematics-question-about-finite-automata%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
0
active
oldest
votes
0
active
oldest
votes
active
oldest
votes
active
oldest
votes
Thanks for contributing an answer to Mathematics Stack Exchange!
- Please be sure to answer the question. Provide details and share your research!
But avoid …
- Asking for help, clarification, or responding to other answers.
- Making statements based on opinion; back them up with references or personal experience.
Use MathJax to format equations. MathJax reference.
To learn more, see our tips on writing great answers.
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2fmath.stackexchange.com%2fquestions%2f3042283%2fdiscrete-mathematics-question-about-finite-automata%23new-answer', 'question_page');
}
);
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Sign up or log in
StackExchange.ready(function () {
StackExchange.helpers.onClickDraftSave('#login-link');
});
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Sign up using Google
Sign up using Facebook
Sign up using Email and Password
Post as a guest
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown
Required, but never shown