This paper proposes a multi-bit ΔΣ down-converting analog-to-digital converter (DC-ADC) using an even harmonic mixer (EHMIX) and mismatch shaper to realize software radios and digital radio frequencies. This converter achieves high signal-to-noise-and-distortion ratio (SNDR) and contributes to the realization of high-speed, low-power wireless communication systems. For conversion errors caused by element variation (mismatch) in multi-bit digital-to-analog converters (DAC), mismatch shapers called data weighted averaging (DWA) and noise shaping dynamic element matching (NSDEM) are used. In this paper, we propose multi-bit ΔΣ DC-ADC with EHMIX and mismatch shaper. Simulink estimated SNDR improved by − 26 dB in 4-bit first-order ΔΣ DC-ADC with EHMIX and DWA − 38 dB in 4-bit second-order ΔΣ DC-ADC with EHMIX and NSDEM.