diff --git a/src/rules/numberLiteralFormatRule.ts b/src/rules/numberLiteralFormatRule.ts
index 4c4ecc08c7a..0d3c9bbf620 100644
--- a/src/rules/numberLiteralFormatRule.ts
+++ b/src/rules/numberLiteralFormatRule.ts
@@ -19,6 +19,7 @@ import { isNumericLiteral } from "tsutils";
 import * as ts from "typescript";
 
 import * as Lint from "../index";
+import { isUpperCase } from "./variableNameRule";
 
 export class Rule extends Lint.Rules.AbstractRule {
     /* tslint:disable:object-literal-sort-keys */
@@ -33,10 +34,11 @@ export class Rule extends Lint.Rules.AbstractRule {
     };
     /* tslint:enable:object-literal-sort-keys */
 
-    public static FAILURE_STRING_LEADING_0 = "Exponent should not have a leading '0'.";
+    public static FAILURE_STRING_LEADING_0 = "Number literal should not have a leading '0'.";
     public static FAILURE_STRING_TRAILING_0 = "Number literal should not have a trailing '0'.";
     public static FAILURE_STRING_TRAILING_DECIMAL = "Number literal should not end in '.'.";
     public static FAILURE_STRING_LEADING_DECIMAL = "Number literal should begin with '0.' and not just '.'.";
+    public static FAILURE_STRING_NOT_UPPERCASE = "Hexadecimal number literal should be uppercase.";
 
     public apply(sourceFile: ts.SourceFile): Lint.RuleFailure[] {
         return this.applyWithFunction(sourceFile, walk);
@@ -55,6 +57,24 @@ function walk(ctx: Lint.WalkContext<void>): void {
     function check(node: ts.NumericLiteral): void {
         // Apparently the number literal '0.0' has a '.text' of '0', so use '.getText()' instead.
         const text = node.getText(sourceFile);
+
+        if (text.startsWith("0")) {
+            switch (text[1]) {
+                case "x":
+                    if (!isUpperCase(text.slice(2))) {
+                        fail(Rule.FAILURE_STRING_NOT_UPPERCASE);
+                    }
+                    break;
+                case "o":
+                case "b":
+                    break;
+                default:
+                    fail(Rule.FAILURE_STRING_LEADING_0);
+            }
+            // Hex/octal/binary number can't have decimal point or exponent, so no other errors possible.
+            return;
+        }
+
         const [num, exp] = text.split(/e/i);
         if (exp !== undefined && (exp.startsWith("-0") || exp.startsWith("0"))) {
             ctx.addFailureAt(node.getEnd() - exp.length, exp.length, Rule.FAILURE_STRING_LEADING_0);
diff --git a/test/rules/number-literal-format/test.ts.lint b/test/rules/number-literal-format/test.ts.lint
index fa9aca43076..ef58dbea6b9 100644
--- a/test/rules/number-literal-format/test.ts.lint
+++ b/test/rules/number-literal-format/test.ts.lint
@@ -3,6 +3,9 @@
 10;
 1.1e10;
 
+01;
+~~ [leading-0]
+
 1.
 ~~ [trailing-decimal]
 
@@ -27,7 +30,11 @@
 1.0e10;
 ~~~ [trailing-0]
 
-[leading-0]: Exponent should not have a leading '0'.
+0xDEAdBEEF;
+~~~~~~~~~~ [0]
+
+[leading-0]: Number literal should not have a leading '0'.
 [trailing-0]: Number literal should not have a trailing '0'.
 [trailing-decimal]: Number literal should not end in '.'.
 [leading-decimal]: Number literal should begin with '0.' and not just '.'.
+[uppercase]: Hexadecimal number literal should be uppercase.