138A hexadecimal to binary

Here we will show you how to convert the hexadecimal number 138A 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 138A from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 138A by 16⁰, multiply the second to last digit in 138A by 16¹, multiply the third to last digit in 138A by 16², multiply the fourth to last digit in 138A by 16³, and so on, until all the digits are used.

A × 16⁰ = 10
8 × 16¹ = 128
3 × 16² = 768
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 + 128 + 768 + 4096 = 5002

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.

5002 ÷ 2 = 2501 with 0 remainder
2501 ÷ 2 = 1250 with 1 remainder
1250 ÷ 2 = 625 with 0 remainder
625 ÷ 2 = 312 with 1 remainder
312 ÷ 2 = 156 with 0 remainder
156 ÷ 2 = 78 with 0 remainder
78 ÷ 2 = 39 with 0 remainder
39 ÷ 2 = 19 with 1 remainder
19 ÷ 2 = 9 with 1 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 138A hexadecimal to binary:

138A hexadecimal = 1001110001010 binary

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138B hexadecimal to binary
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