Question

# 4. If a 6-bit binary number is used to represent an analog value in the range...

4. If a 6-bit binary number is used to represent an analog value in the range from -63 to 126, what is the accuracy of the system? In other words, if the binary number is incremented by one, how much change does it represent in the analog value?

The range of the analog value is -63 to 123 i.e. total (123+63+1)= 190 analog value is to be represented.(1 is added for the 0). Now the binary number is 6. I.e. a 6 bit binary number can represent 26 values i.e. 64 numbers can be represented by a 6 bit binary number...

therefore the accuracy of this system is

(total value can be represented/ total value is to be represented)× 100

=>(64/190) ×100

=> 33.69%

in other words, if the binary number is incremented by 1,the corresponding change in analog number will be

190/64 = 2.968

so the accuracy is (change in binary/ change in analog)

=>(1/2.968) ×100= 33.69%

If you have any doubt,you can ask me in the comment box... Thank you...

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