An 8-bit weighted resistor digital-to-analog converter (DAC) has the smallest resistance of 500 Ω. The largest resistance has a value

Q. An 8-bit weighted resistor digital-to-analog converter (DAC) has the smallest resistance of 500 Ω. The largest resistance has a value

Sol:

In general, in a binary weighted resistor DAC, the relationship between LSB and MSB resistance is given as :
LSB Resistance =(2ⁿ⁻1) MSB resistance where, n is the number of bits in the DAC.
Given, n=8
smallest resistance =500Ω
MSB resistance =500Ω
∴LSB resistance =(2⁸⁻¹)×500Ω
=128×500Ω
=64000Ω=64kΩ