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Binary with fraction to Decimal Step by Step Calculator




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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:

 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:

 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