1321 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 1321 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 1321 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 1321 by 16⁰, multiply the second to last digit in 1321 by 16¹, multiply the third to last digit in 1321 by 16², multiply the fourth to last digit in 1321 by 16³, and so on, until all the digits are used.

1 × 16⁰ = 1
2 × 16¹ = 32
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:

1 + 32 + 768 + 4096 = 4897

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.

4897 ÷ 2 = 2448 with 1 remainder
2448 ÷ 2 = 1224 with 0 remainder
1224 ÷ 2 = 612 with 0 remainder
612 ÷ 2 = 306 with 0 remainder
306 ÷ 2 = 153 with 0 remainder
153 ÷ 2 = 76 with 1 remainder
76 ÷ 2 = 38 with 0 remainder
38 ÷ 2 = 19 with 0 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 1321 hexadecimal to binary:

1321 hexadecimal = 1001100100001 binary

Hexadecimal to Binary Converter
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1322 hexadecimal to binary
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