Get Distinct records with a condition

Question

I have a table with multiple records per Person and an active status column. I would like to fetch distinct records by PersonID and PersonName but also return active status with a condition that if person is active on at least one he is considered active.
Here is my table.
DECLARE @Person TABLE (PersonID INT, PersonName VARCHAR(50), DeptName VARCHAR(50), Active bit)
INSERT INTO @Person (PersonID, PersonName, DeptName, Active) VALUES (111, 'John', 'Finance', 0), (111, 'John', 'HR', 1),(222, 'Jack', 'Payroll', 0),(333, 'Mark', 'Facilities', 1),(444, 'Bill', 'IT', 0),(444, 'Bill', 'HR', 1),(444, 'Bill', 'Finance', 1)
My resultset after the query should be as follows.
(111, 'John', 1),(222,'Jack',0),(333,'Mark',1),(444,'Bill',1)
Thanks for the help.

Answer 1

>> I have a table with multiple records [sic] per Person and an active status column. <<
Rows are not records. Tables have to have a key by definition and since they model a set, the names are plural or collective. These are fundamentals that were covered in the first few chapters of any book on RDBMS. You do not know ISO-11179 naming rules. 
You still use assembly language bit flags in SQL! A status is a state of being so it requires a temporal component. Do you really know people with FIFTY character name? Even in Poland and India, that is not likely. But when you allow garbage data, you will
get it. 
Identifiers are CHAR(n), not numeric; what math do you do with them? Again, this is a fundamental of data modeling. 
You are simply reenforcing your bad habits and not taking the time to learn how to do RDBMS correctly. 
CREATE TABLE Personnel --- collective name!
(person_id CHAR(3) NOT NULL,
 person_name VARCHAR(10) NOT NULL, 
 dept_name VARCHAR(10)NOT NULL, 
 hire_date DATE NOT NULL,
 termination_date DATE,
 CHECK (hire_date < termination_date),
 PRIMARY KEY (person_id, hire_date));  -- null means current.
See how a valid design makes finding a status possible? And it shows us just what a mess you have! Bill is working in TWO departments! See how the key prevents this error? We should add more constraints, but I do not think you are ready for that yet. 
SELECT person_id, person_name, dept_name AS current_dept_name
  FROM Personnel 
 WHERE termination_date IS NULL;
--CELKO-- Books in Celko Series for Morgan-Kaufmann Publishing: Analytics and OLAP in SQL / Data and Databases: Concepts in Practice Data / Measurements and Standards in SQL SQL for Smarties / SQL Programming Style / SQL Puzzles and Answers / Thinking
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