A159 hexadecimal to binary

Here we will show you how to convert the hexadecimal number A159 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 A159 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in A159 by 16⁰, multiply the second to last digit in A159 by 16¹, multiply the third to last digit in A159 by 16², multiply the fourth to last digit in A159 by 16³, and so on, until all the digits are used.

9 × 16⁰ = 9
5 × 16¹ = 80
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 + 80 + 256 + 40960 = 41305

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.

41305 ÷ 2 = 20652 with 1 remainder
20652 ÷ 2 = 10326 with 0 remainder
10326 ÷ 2 = 5163 with 0 remainder
5163 ÷ 2 = 2581 with 1 remainder
2581 ÷ 2 = 1290 with 1 remainder
1290 ÷ 2 = 645 with 0 remainder
645 ÷ 2 = 322 with 1 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 A159 hexadecimal to binary:

A159 hexadecimal = 1010000101011001 binary

Hexadecimal to Binary Converter
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