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