Application circuit and method for shaping noises

nAn application circuit for shaping noises and method thereof involve an analog-to-digital converter which converts a first analog signal into an n-bit digital signal for an encoder to generate a p-bit digital signal. Then a control circuit generates a plurality of control signals based on the p-bit digital signal, wherein p is two to the power of n minus one, and n is an integer greater than one. Each of the (2−1) unit elements with element mismatch in an internal n-bit digital-to-analog converter executes the digital to analog conversion in response to the corresponding control signal, thereby generating a second analog signal, and an adder outputs the first analog signal based on the second analog signal and a third analog signal.