B122 hexadecimal to binary

Here we will show you how to convert the hexadecimal number B122 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 B122 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in B122 by 16⁰, multiply the second to last digit in B122 by 16¹, multiply the third to last digit in B122 by 16², multiply the fourth to last digit in B122 by 16³, and so on, until all the digits are used.

2 × 16⁰ = 2
2 × 16¹ = 32
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:

2 + 32 + 256 + 45056 = 45346

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.

45346 ÷ 2 = 22673 with 0 remainder
22673 ÷ 2 = 11336 with 1 remainder
11336 ÷ 2 = 5668 with 0 remainder
5668 ÷ 2 = 2834 with 0 remainder
2834 ÷ 2 = 1417 with 0 remainder
1417 ÷ 2 = 708 with 1 remainder
708 ÷ 2 = 354 with 0 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 B122 hexadecimal to binary:

B122 hexadecimal = 1011000100100010 binary

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B123 hexadecimal to binary
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