BC59 hexadecimal to binary

Here we will show you how to convert the hexadecimal number BC59 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 BC59 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in BC59 by 16⁰, multiply the second to last digit in BC59 by 16¹, multiply the third to last digit in BC59 by 16², multiply the fourth to last digit in BC59 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
5 × 16¹ = 80
C × 16² = 3072
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:

9 + 80 + 3072 + 45056 = 48217

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.

48217 ÷ 2 = 24108 with 1 remainder
24108 ÷ 2 = 12054 with 0 remainder
12054 ÷ 2 = 6027 with 0 remainder
6027 ÷ 2 = 3013 with 1 remainder
3013 ÷ 2 = 1506 with 1 remainder
1506 ÷ 2 = 753 with 0 remainder
753 ÷ 2 = 376 with 1 remainder
376 ÷ 2 = 188 with 0 remainder
188 ÷ 2 = 94 with 0 remainder
94 ÷ 2 = 47 with 0 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 BC59 hexadecimal to binary:

BC59 hexadecimal = 1011110001011001 binary

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