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 2 ^{6} 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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