
Here we will show you how to convert the hexadecimal number 1612 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 1612 from hexadecimal to binary are explained below.
Step 1)
Multiply the last digit in 1612 by 16⁰, multiply the second to last digit in 1612 by 16¹, multiply the third to last digit in 1612 by 16², multiply the fourth to last digit in 1612 by 16³, and so on, until all the digits are used.
2 × 16⁰ = 2
1 × 16¹ = 16
6 × 16² = 1536
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:
2 + 16 + 1536 + 4096 = 5650
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.
5650 ÷ 2 = 2825 with 0 remainder
2825 ÷ 2 = 1412 with 1 remainder
1412 ÷ 2 = 706 with 0 remainder
706 ÷ 2 = 353 with 0 remainder
353 ÷ 2 = 176 with 1 remainder
176 ÷ 2 = 88 with 0 remainder
88 ÷ 2 = 44 with 0 remainder
44 ÷ 2 = 22 with 0 remainder
22 ÷ 2 = 11 with 0 remainder
11 ÷ 2 = 5 with 1 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 1612 hexadecimal to binary:
1612 hexadecimal = 1011000010010 binary
Hexadecimal to Binary Converter
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1613 hexadecimal to binary
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