Problem

MicroprocessorsAn A/D converter compares its analog input voltage to a fixed reference vol...

Microprocessors

An A/D converter compares its analog input voltage to a fixed reference voltage and then provides a digital output word B given by

where the operator int means “round to the nearest integer.” This encoding operation is called binary- weighted encoding. A full-scale binary output (all bits set to 1) occurs when vIN = VREF.

• An 8-bit binary- weighted A/D converter has a reference voltage of 5 V. Find the analog input corresponding to the binary outputs 1111 1110 and 00010000.

• Find the binary output if vIN = 1.1 V.

• Find the resolution of the converter.

• Find the additional voltage that must be added to a 1-V analog input if the digital output is to be incremented by one bit.

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