how to convert hexadecimal number into decimal 1.(3B)
Answers
Answer:
HERE IT IS
Step-by-step explanation:
To convert a hexadecimal to a decimal manually, you must start by multiplying the hex number by 16. Then, you raise it to a power of 0 and increase that power by 1 each time according to the hexadecimal number equivalent.
We start from the right of the hexadecimal number and go to the left when applying the powers. Each time you multiply a number by 16, the power of 16 increases.
When converting a C9 hexadecimal to a decimal your work should look something like this:
Example 1
9 = 9 * (16 ^ 0) = 9
C = 12 * (16 ^ 1) = 192
Then, we add the results.
192 + 9 = 20110 decimal
First, we converted all of our hex numbers to their decimal equivalents. C is equal to decimal 12 (refer to table above) and 9 is equal to decimal 9.
Then, we multiplied the numbers 12 and 9 starting from the last number in the question by 16 and its power. Remember, the powers start from zero.
Our first multiplication had a power of 0 and the second multiplication had a power of 1. If there was a third it would have had a power of 2.
The (^) symbol represents "raised to the power of." Therefore, the first terms in brackets read, "16 to the power of 0." This means that sixteen was multiplied by itself zero times. Anything raised to the power of zero is 1. Therefore, 9 was multiplied by one.
In the second bracket, the term read, "16 to the power of 1." A number raised to the power of one is equal to that number. Therefore 12 was multiplied by 16. When we multiplied these we got 192.
We then added the results to get our decimal equivalent number, which was 201.
Example 2
In this example, we want to convert hex ABC to a decimal.
Remember that we raise the number 16 to 0 for the rightmost bit of the question. As we move across the numbers and letters, the power 16 is raised by one more than the previous bit. For example, if we had a number with 22 in the leftmost bit it would be multiplied by 16 to the power of 21.
C = 12 * (16 ^ 0) 12
B = 11 * (16 ^ 1) 176
A = 10 * (16 ^ 2) 2560
Then, we add the results.
2560 + 176 + 12 = 274810 decimal
Convert Hex AF, ACD, AB2 and FF to base 10
Answers are 17510, 276510, 273810, and 25510 respectively.
To convert from decimal to hexadecimal you must divide the decimal number by 16 repeatedly. Then, write the last remainder you obtained in the hex equivalent column. If the remainder is more than nine, remember to change it to its hex letter equivalent. The answer is taken from the last remainder obtained.
Thus, the answer is C9. As you can see, it contains less bits than its decimal equivalent, 201.
Answer:
to divide this number and show the number and write it from low to upward
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