A121 hexadecimal to binary

Here we will show you how to convert the hexadecimal number A121 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 A121 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A121 by 16⁰, multiply the second to last digit in A121 by 16¹, multiply the third to last digit in A121 by 16², multiply the fourth to last digit in A121 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
2 × 16¹ = 32
1 × 16² = 256
A × 16³ = 40960

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:

1 + 32 + 256 + 40960 = 41249

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.

41249 ÷ 2 = 20624 with 1 remainder
20624 ÷ 2 = 10312 with 0 remainder
10312 ÷ 2 = 5156 with 0 remainder
5156 ÷ 2 = 2578 with 0 remainder
2578 ÷ 2 = 1289 with 0 remainder
1289 ÷ 2 = 644 with 1 remainder
644 ÷ 2 = 322 with 0 remainder
322 ÷ 2 = 161 with 0 remainder
161 ÷ 2 = 80 with 1 remainder
80 ÷ 2 = 40 with 0 remainder
40 ÷ 2 = 20 with 0 remainder
20 ÷ 2 = 10 with 0 remainder
10 ÷ 2 = 5 with 0 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 A121 hexadecimal to binary:

A121 hexadecimal = 1010000100100001 binary

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A122 hexadecimal to binary
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