Hexadecimal with fraction to Decimal Step by Step Calculator
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