B14B hexadecimal to binary

Here we will show you how to convert the hexadecimal number B14B 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 B14B from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B14B by 16⁰, multiply the second to last digit in B14B by 16¹, multiply the third to last digit in B14B by 16², multiply the fourth to last digit in B14B by 16³, and so on, until all the digits are used.

B × 16⁰ = 11
4 × 16¹ = 64
1 × 16² = 256
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:

11 + 64 + 256 + 45056 = 45387

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.

45387 ÷ 2 = 22693 with 1 remainder
22693 ÷ 2 = 11346 with 1 remainder
11346 ÷ 2 = 5673 with 0 remainder
5673 ÷ 2 = 2836 with 1 remainder
2836 ÷ 2 = 1418 with 0 remainder
1418 ÷ 2 = 709 with 0 remainder
709 ÷ 2 = 354 with 1 remainder
354 ÷ 2 = 177 with 0 remainder
177 ÷ 2 = 88 with 1 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 B14B hexadecimal to binary:

B14B hexadecimal = 1011000101001011 binary

Hexadecimal to Binary Converter
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