48BE hexadecimal to binary

Here we will show you how to convert the hexadecimal number 48BE 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 48BE from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 48BE by 16⁰, multiply the second to last digit in 48BE by 16¹, multiply the third to last digit in 48BE by 16², multiply the fourth to last digit in 48BE by 16³, and so on, until all the digits are used.

E × 16⁰ = 14
B × 16¹ = 176
8 × 16² = 2048
4 × 16³ = 16384

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:

14 + 176 + 2048 + 16384 = 18622

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.

18622 ÷ 2 = 9311 with 0 remainder
9311 ÷ 2 = 4655 with 1 remainder
4655 ÷ 2 = 2327 with 1 remainder
2327 ÷ 2 = 1163 with 1 remainder
1163 ÷ 2 = 581 with 1 remainder
581 ÷ 2 = 290 with 1 remainder
290 ÷ 2 = 145 with 0 remainder
145 ÷ 2 = 72 with 1 remainder
72 ÷ 2 = 36 with 0 remainder
36 ÷ 2 = 18 with 0 remainder
18 ÷ 2 = 9 with 0 remainder
9 ÷ 2 = 4 with 1 remainder
4 ÷ 2 = 2 with 0 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 48BE hexadecimal to binary:

48BE hexadecimal = 100100010111110 binary

Hexadecimal to Binary Converter
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48BF hexadecimal to binary
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