# Please explain the following statements: 1. Each position in a binary, octal and hexadecimal number represents a 0 power of the base 2, 8 and 16 respectively. 2. Each position in a binary number represents a x power of the base 2. 3. The last position in an octal and hexadecimal number represents a x power of the base 8 and 16 respectively.

1
by deveshbag

2016-07-12T21:00:16+05:30

### This Is a Certified Answer

Certified answers contain reliable, trustworthy information vouched for by a hand-picked team of experts. Brainly has millions of high quality answers, all of them carefully moderated by our most trusted community members, but certified answers are the finest of the finest.
If a number is   a b c d      for example:  1239 decimal.. 0101 binary,  0753 octal,  0A2B Hex

the value of that number is expressed in terms of radix or base as:

binary:  a* 2^3 + b * 2^2 + c * 2^1 + d * 2^0
hex :     a * 16^3 + b * 16^2 + c * 16^1 + d * 16^0
octal:    a* 8^3 + b * 8^2 + c * 8^1 + d * 8^0

Thus the power related to position of a = 3..
that  power of  b is 2  and that of c is  1   and that of d  is 0.