Parity Square Sudoku (Fun With Sudoku #159)

Till now I have been posting the puzzle which I created for Sudoku Mahabharat 2015-16 Twisted Classics round. Today's Parity Square Sudoku is the new Sudoku Variation that I created recently. Here whenever all the cells forming a square contain the same parity (i.e. either all four cells are Odd or all four cells are Even) then the corner which touches all the cells is marked with a square. Currently, I have created only one Sudoku of this type to put forward the concept. Soon I will be creating more puzzles of this type. 
Anyway, I am posting this Parity Square Sudoku in the Fun With Sudoku Series as the 159th puzzle in this series. Can you solve this Sudoku puzzle?

Rules of Parity Square Sudoku

Apply Standard Classic Sudoku rules. Additionally, everywhere if 4 even or 4 odd digits form a 2x2 square, a square marking is given i.e. if four cells forming 2x2 cells contains the same parity the square marking is given.

Parity Square Sudoku (Fun With Sudoku #159)

Parity Square Sudoku (Fun With Sudoku #159) Solution

Previous Sudoku Quad Max Sudoku (Fun With Sudoku #158)

Next Sudoku Linked Sudoku (Fun With Sudoku #160)

Below is the answer to Parity Sudoku Puzzle, which is published with the title Parity Sudoku Puzzle (Fun With Sudoku #248)

Parity Sudoku (Fun With Sudoku #248) Puzzle Answer