Sony HX1 has a
9.0MP 1/2.4-inch (6.104 x 4.578 mm ) sized CMOS sensor and features Bionz processor. On the other hand, Casio EX-100 has a
12.0MP 1/1.7-inch (7.44 x 5.58 mm ) sized CMOS sensor .
Below you can see the HX1 and EX-100 sensor size comparison.
As seen above, Casio EX-100 has a 1.5x Larger sensor area than Sony HX1. Larger sensors give photographer more control on the depth of field and blurry background compared to smaller sensor when shot in same focal length and aperture.