Binary with fraction to Decimal Step by Step Calculator

Binary with fraction to Decimal Step by Step Calculator

To convert binary fraction to decimal, start from the right with the total of 0. Add the current digit as 2^n. Continue until there are no more digits left.

Question Examples:

Question 1: Convert 1111011.0111 to decimal

Answer:

Binary:

	2⁶	+ 2⁵	+ 2⁴	+ 2³	+ 2¹	+ 2⁰	+ 2^-2	+ 2^-3	+ 2^-4
=	2⁶	+ 2⁵	+ 2⁴	+ 2³	+ 2	+ 1	+ 2^-2	+ 2^-3	+ 2^-4

= 123 + 0.4375
= 123.4375

Question 2: Convert 11.001001000011111101 to decimal

Answer:

Binary:

	2¹	+ 2⁰	+ 2^-3	+ 2^-6	+ 2^-11	+ 2^-12	+ 2^-13	+ 2^-14	+ 2^-15	+ 2^-16	+ 2^-18
=	2	+ 1	+ 2^-3	+ 2^-6	+ 2^-11	+ 2^-12	+ 2^-13	+ 2^-14	+ 2^-15	+ 2^-16	+ 2^-18

= 3 + 0.14159011840820312
= 3.141590118408203