$spInstalled = Get-PSSnapin | Select-String Sharepoint
if (!$spInstalled)
{
    Add-PSSnapin Microsoft.Sharepoint.PowerShell
}

$app = Get-SPWebApplication -Identity http://your-web-application-url

$markup = @"
<div id='javascript-breadcrumb' class='ms-core-brandingText' style='line-height: 15px; width: auto;'></div>
<script>
(function () {
	if(document.addEventListener ) {
	    document.addEventListener('DOMContentLoaded', function() {
	        EnsureScriptFunc('sp.js', 'SP.ClientContext', JavascriptBreadcrumb);
	    }, false);
	} else {
	    window.setTimeout(function() {
	        EnsureScriptFunc('sp.js', 'SP.ClientContext', JavascriptBreadcrumb);
	    }, 0);
	}
	
	function JavascriptBreadcrumb() {
	    this.elm = document.getElementById('javascript-breadcrumb');
	
	    // Show the list link
	    var list = "";
	    if (ctx !== null && typeof ctx !== "undefined" && _spPageContextInfo.pageListId !== null && typeof _spPageContextInfo.pageListId !== "undefined") {
		    if (ctx.listName !== null && typeof ctx.listName !== "undefined") {
		        if (_spPageContextInfo.pageListId.toUpperCase() == ctx.listName.toUpperCase()) {
		            list = "<a href='" + ctx.listUrlDir + "' title='" + ctx.ListTitle + "' style='color:#fff'>" + ctx.ListTitle + "</a> > ";
		
		            // Check if you are inside a folder
		            if (rootFolder !== "" && typeof rootFolder !== "undefined") {
		                var listUrl = decodeURIComponent(ctx.listUrlDir);
		                var rootFolder = decodeURIComponent(ctx.rootFolder);
		                rootFolder = rootFolder.replace(listUrl, "");
		  
		                var folders = rootFolder.split("/");
		                for (var i = 0; i < folders.length; i++) {
		                    if (folders[i] !== "" && typeof folders[i] !== "undefined") {
		                        listUrl = listUrl + "/" + folders[i];
		                        list += "<a href='" + listUrl + "' title='" + folders[i] + "' style='color:#fff'>" + folders[i] + "</a> > ";
		                    }
		                }
		            }
		        }
		    }
	    }
	    
	    this.breadcrumb = "<a href='" + _spPageContextInfo.webAbsoluteUrl + "' style='color:#fff;'>" + _spPageContextInfo.webTitle + "</a> > " + list + "<span style='font-style:italic;'>" + document.title + "</span>";
	    this.elm.innerHTML = this.breadcrumb;
	
	    var clientContext = new SP.ClientContext.get_current();
	    this.web = clientContext.get_web();
	    this.parentweb = this.web.get_parentWeb();
	
	    clientContext.load(this.parentweb);
	    clientContext.executeQueryAsync(Function.createDelegate(this, onQuerySuccess), Function.createDelegate(this, onCreationFail));
	}
	
	function onQuerySuccess() {
	    try {
	        if (typeof this.parentweb.get_title() !== "undefined" && this.parentweb.get_title().toLowerCase() !== "intranet") {
	            this.breadcrumb = "<a href='" + this.parentweb.get_serverRelativeUrl() + "' style='color:#fff'>" + this.parentweb.get_title() + "</a>" + " > " + this.breadcrumb;
	            this.elm.innerHTML = this.breadcrumb;
	
	            var clientContext = new SP.ClientContext(this.parentweb.get_serverRelativeUrl());
	            this.web = clientContext.get_web();
	            this.parentweb = this.web.get_parentWeb();
	
	            clientContext.load(this.parentweb);
	            clientContext.executeQueryAsync(Function.createDelegate(this, onQuerySuccess), Function.createDelegate(this, onCreationFail));
	        }
	    }
	    catch (e) {}
	}
	
	function onCreationFail() {}
})();
</script>
"@

$app.SuiteBarBrandingElementHtml = $markup
$app.Update();