125A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 125A 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 125A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 125A by 16⁰, multiply the second to last digit in 125A by 16¹, multiply the third to last digit in 125A by 16², multiply the fourth to last digit in 125A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
5 × 16¹ = 80
2 × 16² = 512
1 × 16³ = 4096

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:

10 + 80 + 512 + 4096 = 4698

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.

4698 ÷ 2 = 2349 with 0 remainder
2349 ÷ 2 = 1174 with 1 remainder
1174 ÷ 2 = 587 with 0 remainder
587 ÷ 2 = 293 with 1 remainder
293 ÷ 2 = 146 with 1 remainder
146 ÷ 2 = 73 with 0 remainder
73 ÷ 2 = 36 with 1 remainder
36 ÷ 2 = 18 with 0 remainder
18 ÷ 2 = 9 with 0 remainder
9 ÷ 2 = 4 with 1 remainder
4 ÷ 2 = 2 with 0 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 125A hexadecimal to binary:

125A hexadecimal = 1001001011010 binary

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125B hexadecimal to binary
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