
Here we will show you how to convert the hexadecimal number BEA0 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 BEA0 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in BEA0 by 16⁰, multiply the second to last digit in BEA0 by 16¹, multiply the third to last digit in BEA0 by 16², multiply the fourth to last digit in BEA0 by 16³, and so on, until all the digits are used.
0 × 16⁰ = 0
A × 16¹ = 160
E × 16² = 3584
B × 16³ = 45056
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:
0 + 160 + 3584 + 45056 = 48800
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.
48800 ÷ 2 = 24400 with 0 remainder
24400 ÷ 2 = 12200 with 0 remainder
12200 ÷ 2 = 6100 with 0 remainder
6100 ÷ 2 = 3050 with 0 remainder
3050 ÷ 2 = 1525 with 0 remainder
1525 ÷ 2 = 762 with 1 remainder
762 ÷ 2 = 381 with 0 remainder
381 ÷ 2 = 190 with 1 remainder
190 ÷ 2 = 95 with 0 remainder
95 ÷ 2 = 47 with 1 remainder
47 ÷ 2 = 23 with 1 remainder
23 ÷ 2 = 11 with 1 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 BEA0 hexadecimal to binary:
BEA0 hexadecimal = 1011111010100000 binary
Hexadecimal to Binary Converter
Here you can convert another hexadecimal number to binary.
BEA1 hexadecimal to binary
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