q show the decimal equivalent of a binary

Question

Q. Show the Decimal equivalent of a binary number?

In binary numbers we have two digits 0 and 1 in addition they can also be signified as a string of these two-digits known as bits. The base of binary number system is 2.

E.g. 101010 is a valid binary number.

Decimal equivalent of a binary number:

For converting value of binary numbers into decimal equivalent we have to find its value that is found by multiplying a digit by its place value. E.g. binary number 101010 is equal to:

    1×2⁵+0×2⁴+1×2³+ 0×2²+1×2¹+0×2⁰

 = 1×32 + 0×16 + 1×8 + 0×4 + 1×2 + 0×1 

 = 32 + 8 + 2 

 = 42 in decimal.