
Here we will show you how to convert the hexadecimal number B1A to a binary number. First note that the hexadecimal number system has sixteen different digits (0 1 2 3 4 5 6 7 8 9 A B C D E F) and the binary number system has only two different digits (0 and 1).
The four steps used to convert B1A from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in B1A by 16⁰, multiply the second to last digit in B1A by 16¹, multiply the third to last digit in B1A by 16², multiply the fourth to last digit in B1A by 16³, and so on, until all the digits are used.
A × 16⁰ = 10
1 × 16¹ = 16
B × 16² = 2816
Remember that the hexadecimal number system has sixteen different digits, so when doing the above calculation, we use the following values if applicable: A=10, B=11, C=12, D=13, E=14, and F=15.
Step 2)
Next, we add up all the products we got from Step 1, like this:
10 + 16 + 2816 = 2842
Step 3)
Now we divide the sum from Step 2 by 2. Put the remainder aside. Then divide the whole part by 2 again, and put the remainder aside again. Keep doing this until the whole part is 0.
2842 ÷ 2 = 1421 with 0 remainder
1421 ÷ 2 = 710 with 1 remainder
710 ÷ 2 = 355 with 0 remainder
355 ÷ 2 = 177 with 1 remainder
177 ÷ 2 = 88 with 1 remainder
88 ÷ 2 = 44 with 0 remainder
44 ÷ 2 = 22 with 0 remainder
22 ÷ 2 = 11 with 0 remainder
11 ÷ 2 = 5 with 1 remainder
5 ÷ 2 = 2 with 1 remainder
2 ÷ 2 = 1 with 0 remainder
1 ÷ 2 = 0 with 1 remainder
Step 4)
In the final step, we take the remainders from Step 3 and put them together in reverse order to get our answer to B1A hexadecimal to binary:
B1A hexadecimal = 101100011010 binary
Hexadecimal to Binary Converter
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B1B hexadecimal to binary
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