B0CD hexadecimal to binary

Here we will show you how to convert the hexadecimal number B0CD 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 B0CD from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B0CD by 16⁰, multiply the second to last digit in B0CD by 16¹, multiply the third to last digit in B0CD by 16², multiply the fourth to last digit in B0CD by 16³, and so on, until all the digits are used.

D × 16⁰ = 13
C × 16¹ = 192
0 × 16² = 0
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:

13 + 192 + 0 + 45056 = 45261

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.

45261 ÷ 2 = 22630 with 1 remainder
22630 ÷ 2 = 11315 with 0 remainder
11315 ÷ 2 = 5657 with 1 remainder
5657 ÷ 2 = 2828 with 1 remainder
2828 ÷ 2 = 1414 with 0 remainder
1414 ÷ 2 = 707 with 0 remainder
707 ÷ 2 = 353 with 1 remainder
353 ÷ 2 = 176 with 1 remainder
176 ÷ 2 = 88 with 0 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 B0CD hexadecimal to binary:

B0CD hexadecimal = 1011000011001101 binary

Hexadecimal to Binary Converter
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