Abstract: A method for detecting touch signals of a touch screen device includes counting a first time slot and a second time slot of an on-off period of a pixel according to a period of a scan signal and a period of a clock signal, and detecting whether the pixel is touched during the second time slot. The first time slot is the time before a noise of the pixel drops to a predetermined value after the pixel is turned on. The second time slot is the time after the noise of the pixel drops to the predetermined value after the pixel is turned on.

Abstract: A decoding apparatus for Booth multiplication includes a NAND gate, a first and a second OR gate coupled to the NAND gate, a first and a second exclusive NOR gate coupled respectively to the OR gates, a clean-to-zero device coupled to the first and the second OR gates, and a send-one device coupled to the NAND gate. The clean-to-zero device permits the decoding apparatus to deliver a zero. The send-one device permits the decoding apparatus to deliver a one. The decoding apparatus supports both signed and unsigned Booth multiplications.