Hexadecimal with fraction to Decimal Step by Step Calculator
To convert hexadecimal fraction to decimal, start from the right with the total of 0. Add the current digit as 16^n. Continue until there are no more digits left.
Question Examples:
Question 1: Convert 3A.1F to decimal
Answer:
| 3 × 161 | + 10 × 160 | + 1 × 16-1 | + 15 × 16-2 | |
| = | 3 × 16 | + 10 | + 1 × 16-1 | + 15 × 16-2 |
= 58 + 0.12109375
= 58.12109375
Text Only:
3 × 16^(1) + 10 × 16^(0) + 1 × 16^(-1) + 15 × 16^(-2)
= 3 × 16 + 10 + 1 × 16^(-1) + 15 × 16^(-2)
= 58 + 0.12109375
= 58.12109375
Question 2: Convert 3.243F6A888 to decimal
Answer:
| 3 × 160 | + 2 × 16-1 | + 4 × 16-2 | + 3 × 16-3 | + 15 × 16-4 | + 6 × 16-5 | + 10 × 16-6 | + 8 × 16-7 | + 8 × 16-8 | + 8 × 16-9 | |
| = | 3 | + 2 × 16-1 | + 4 × 16-2 | + 3 × 16-3 | + 15 × 16-4 | + 6 × 16-5 | + 10 × 16-6 | + 8 × 16-7 | + 8 × 16-8 | + 8 × 16-9 |
= 3 + 0.14159265358466655
= 3.1415926535846666
Text Only:
3 × 16^(0) + 2 × 16^(-1) + 4 × 16^(-2) + 3 × 16^(-3) + 15 × 16^(-4) + 6 × 16^(-5) + 10 × 16^(-6) + 8 × 16^(-7) + 8 × 16^(-8) + 8 × 16^(-9)
= 3 + 2 × 16^(-1) + 4 × 16^(-2) + 3 × 16^(-3) + 15 × 16^(-4) + 6 × 16^(-5) + 10 × 16^(-6) + 8 × 16^(-7) + 8 × 16^(-8) + 8 × 16^(-9)
= 3 + 0.14159265358466655
= 3.1415926535846666