Question

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?

Answer 1

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%

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