A139 hexadecimal to binary

Here we will show you how to convert the hexadecimal number A139 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 A139 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A139 by 16⁰, multiply the second to last digit in A139 by 16¹, multiply the third to last digit in A139 by 16², multiply the fourth to last digit in A139 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
3 × 16¹ = 48
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:

9 + 48 + 256 + 40960 = 41273

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.

41273 ÷ 2 = 20636 with 1 remainder
20636 ÷ 2 = 10318 with 0 remainder
10318 ÷ 2 = 5159 with 0 remainder
5159 ÷ 2 = 2579 with 1 remainder
2579 ÷ 2 = 1289 with 1 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 A139 hexadecimal to binary:

A139 hexadecimal = 1010000100111001 binary

Hexadecimal to Binary Converter
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