BE40 hexadecimal to binary

Here we will show you how to convert the hexadecimal number BE40 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 BE40 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BE40 by 16⁰, multiply the second to last digit in BE40 by 16¹, multiply the third to last digit in BE40 by 16², multiply the fourth to last digit in BE40 by 16³, and so on, until all the digits are used.

0 × 16⁰ = 0
4 × 16¹ = 64
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 + 64 + 3584 + 45056 = 48704

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.

48704 ÷ 2 = 24352 with 0 remainder
24352 ÷ 2 = 12176 with 0 remainder
12176 ÷ 2 = 6088 with 0 remainder
6088 ÷ 2 = 3044 with 0 remainder
3044 ÷ 2 = 1522 with 0 remainder
1522 ÷ 2 = 761 with 0 remainder
761 ÷ 2 = 380 with 1 remainder
380 ÷ 2 = 190 with 0 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 BE40 hexadecimal to binary:

BE40 hexadecimal = 1011111001000000 binary

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BE41 hexadecimal to binary
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