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Hexadecimal with fraction to Decimal Step by Step Calculator




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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