1458 hexadecimal to binary

Here we will show you how to convert the hexadecimal number 1458 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 1458 from hexadecimal to binary are explained below.

Step 1)
Multiply the last digit in 1458 by 16⁰, multiply the second to last digit in 1458 by 16¹, multiply the third to last digit in 1458 by 16², multiply the fourth to last digit in 1458 by 16³, and so on, until all the digits are used.

8 × 16⁰ = 8
5 × 16¹ = 80
4 × 16² = 1024
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:

8 + 80 + 1024 + 4096 = 5208

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.

5208 ÷ 2 = 2604 with 0 remainder
2604 ÷ 2 = 1302 with 0 remainder
1302 ÷ 2 = 651 with 0 remainder
651 ÷ 2 = 325 with 1 remainder
325 ÷ 2 = 162 with 1 remainder
162 ÷ 2 = 81 with 0 remainder
81 ÷ 2 = 40 with 1 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 1458 hexadecimal to binary:

1458 hexadecimal = 1010001011000 binary

Hexadecimal to Binary Converter
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1459 hexadecimal to binary
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