How to convert decimal to decimal hexadecimal

Handwriting conversion.

Divide the decimal number by 16 and keep the remainder. Once you have the remainder, don't divide it further down to get the decimals.

Write down the remainder and mark 16 in the bottom right corner. For example, the rest is 11, written as b, and 16 at the bottom right. Look up how to understand hexadecimal numbers to understand the symbols used in hexadecimal.

Divide the previous integer quotient by 16 to get the remainder, and then mark 16 in the lower right corner of the remainder

Repeat the above steps until you get a quotient less than 16. Each time we mark the remainder with 16 at the bottom right, noting that we also need to write down the quotient we got at the end (i.e. the quotient less than 16).

and converted to hexadecimal.

Write down the remainder and the final quotient in order from left to right, with the quotient on the far right. The resulting hexadecimal is this number, read from right to left. For example, if it is read as 2f34, the actual value is 43f2.

1.Divide 16 to find the remainder.

115 to hexadecimal.

The quotient is 7, and the remainder is 3Divide 7 by 16, the quotient is 0, and the remainder is 7, so the result is 73

2.Convert binary first and then hexadecimal.

The binary system of 115 is 1110011, the integer part starts from the least significant bit, takes 4 bits as a group, and the most significant bit is less than 4 digits to 0, each group can be converted into a hexadecimal value, and the conversion is a hexadecimal integer.

Result 73

Divide the decimal number by 16, and the remainder is the highest digit in the hexadecimal, just keep going.

As follows: The decimal conversion to 16 rule is to divide by 16 and take the remainder, and arrange the remainders from low to high until the dividend is zero.

For example, the decimal number 100 is converted to hexadecimal, then divide 100 by 16, the remainder is 4, put a place in the first remainder, and then divide 100 by 16 to get the result 6 and divide it by 16 to take the remainder, so that 6 is placed in front of 4, then the hexadecimal representation of 100 is 64h.

Example: 2364 is converted to hexadecimal, with the division sign below"/"Indicates divisible.

2364 16 = 147 * 16, the remainder 12, the hexadecimal of 12 is expressed as c, which is placed in the lowest place.

147 16 = 9, the remainder 3, placed in front of the previous result, is 3c

9 16 = 0, the remainder 9, placed in front of the previous result, is 93c

At this point, the result is 0, the calculation is complete, and the final result is 93ch, and "h" is the symbol of the hexadecimal notation.

The method of converting decimal hexadecimal to decimal: The decimal hexadecimal system is the same as the ten numbers of 16 into 1, 0 and 9, and we use the six letters A, B, C, D, E, and F to represent 10, 11, 12, 13, 14, and 15 respectively. Letters are not case sensitive.

The weight of the 0th digit of a hexadecimal number is 16 to the power of 0, the weight of the 1st digit is to the 1st power of 16, the weight of the 2nd digit is to the 2nd power of 16, and so on. So, in the nth (n starts at 0) bit, if the number a (a is greater than or equal to 0 and a is less than or equal to 15, i.e., f) is represented by a to the nth power of the size a 16.

Suppose there is a hexadecimal number 2af5 that is directly calculated: 5 16 +f 16 +a 16 +2 16 =10997 It can also be expressed vertically: 0th digit:

5 160 = 5 1st place: f 16 = 240 2nd place: a 16 = 2560 3rd place:

2 16 = 8192 Hexadecimal Hexadecimal is a representation of data in a computer. It's not the same as the representation in our daily lives.

It consists of 0-9, a-f, and the letters are not case sensitive. The correspondence with decimal is: 0-9 corresponds to 0-9; a-f corresponds to 10-15; Numbers in base can be represented by numbers of 0 (n-1) and letters a-f over 9.

The calculation method of decimal to hexadecimal is to divide the dividend by 16 repeatedly for the integer part, except for the first time, each time divided by 16, the integer part of the previous quotient is taken as the dividend and the remainder of each time is noted in turn. In addition, the last remainder of the obtained quotient is the highest digit of the binary number sought. The specific process is as follows:

For example, if you want to convert 120 to a hexadecimal number:

1. Divide the number to be converted by 16 to get the quotient and remainder, 2. Then the number to be converted is 120, 120 16, the quotient is 7, and the remainder is 8.

3. "Continue to divide the quotient by 16 until the quotient is 0.......""Now the quotient is 7, not 0 yet, so keep dividing by 16. Then 7 16, we get the quotient is 0 and the remainder is 7. Now the quotient is 0.

4. We calculate the remainder in turn and arrange all the remainders in reverse order, that is: 78.

Notes:

1. For the decimal part, use the continuous multiplication of the base number 16, and take out the integer part in turn until the decimal part of the result is 0. Therefore, this method is called "multiplication base integer method".

2. Base conversion is a method for people to use symbols to count, and the base conversion is composed of a set of numeric symbols and two basic factors, "cardinality" and "bit weight".

The specific algorithm for converting hexadecimal to decimal is:

First of all, understand the hexadecimal number (from right to left the number is the 0th, 1st, 2nd......The 0th place has a weight of 16 to the power of 0, the first place has a weight of 16 to the 1st power, and the 2nd place has a weight of 16 to the 2nd power, and so on.

Understand that the binary numbers represented by ABCDEF are 10, 11, 12, 13, 14, and 15.

The formula for converting hexadecimal to decimal is to multiply each binary number by the corresponding power of 16 from right to left, and then add the numbers together.

There is a basic principle when it comes to base conversion:

The amount of "amount" expressed after conversion cannot be changed. There are as many 111 apples in binary as there are 7 apples in decimal.

The arrangement of digits in decimal is ...... like thisThousands of tenths ......

The digit arrangement in the base R system is ...... like thisr^4 r^3r^2 r^1 r^0 r^-1 r^-2 r^-3……

The primary square of the decimal phase between adjacent digits can be seen.

1. First of all, open the calculator that comes with the computer. Press Win+R directly, enter "calc" in the pop-up run dialog box, and then press Enter or click OK to open the calculator.

2. If the open calculator is a standard type, you need to set it to scientific, click "View", and then click "scientific" in the drop-down menu.

3. The default calculator is the decimal system, if it is a decimal conversion to other decimal systems, enter the value directly in the calculator, and then click the corresponding decimal system, you can directly convert. For example, convert decimal 1000 to hexadecimal.

4. If it is other base system (such as hexadecimal) convert to base 10. Then click on the hexadecimal first, then enter the hexadecimal value, and then convert.

5. If it is other base systems (such as binary), it is converted to hexadecimal. Then click on binary, then enter the value of binary, and then convert. For example, converting binary 11001111 to hexadecimal.