Convert decimal to two, hexadecimal

First to 16 and then to 2.

For example, 89: 89 16=5 and 9 so the hexadecimal representation is 59, and then 5 and 9 are represented by 4-digit binary numbers 5=0101 and 9=1001, so 89 is represented by 01011001 in binary

Same as above, 150 = 96 = 10010110, 300 = 12c = 100101100

89/2=44 ..Remainder 1 (lowest digit).

44/2=22 ..Remainder 0

22/2=11 ..Remainder 0

11/2=5 ..Remaining 1

5/2=2 ..Remaining 1

2/2=1 ..Remainder 0

1/2=0 ..Remaining 1

The answer is 1011001

Use 89 to divide by 2, the remainder, until the division, the reverse arrangement of the remainder is the base, and the converted 4-bit base binary system is arranged according to 8,4,2,1 code to get the hexadecimal number!

2 89 remainder.

The answer is 1011001, write from the bottom up.

16 89 remainder.

Answer: 59 The same is true for others.

i) Convert i to binary.

i) Convert i to hexadecimal.

Convert hexadecimal numbers to binary numbers:

Method 1: Convert the hexadecimal number of each bit to the corresponding 4-digit binary number, and directly convert it according to the conversion table as follows:

Method 2: First convert each number in the hexadecimal system to decimal, 1-9 in hexadecimal also corresponds to 1-9 in decimal, and a-f in hexadecimal system corresponds to 10-15 in decimal, and then convert it into binary through decimal (divide the decimal number by 2 continuously until 0 remainder x is obtained, and write down the remainder of each time from right to left), and finally arrange the obtained four-digit binary numbers in order.

Example: For the hexadecimal number F6:

Method 1:

f=1111，6=0110

The result is 11110110

Method 2:

f=15 divides by 2 to get 7 and 1

7 Divide 2 to get 3 and 1

3 divided by 2 to get 1 remainder 1

1 divided by 2 to get 0 more than 1

Arrange the remainders from bottom to top (from the remainder 1 of 1 to the remainder 1 of 15), so that f=1111 is the same as 6=0110

Get f6 = 11110110

The conversion principle of hexadecimal to binary is "one bit splits four digits", that is, every hexadecimal number is written into the corresponding 4-digit binary number, and then connected in order.

For example, you want to convert (f8d4)16 to a binary number. Because f=1111, 8=1000, d=1101, 4=0100, the result is f8d4 (hexadecimal) = 1111100010110100 (binary).

The meaning of the base system.

The base system, also known as the carry counting system, is an artificially defined counting method with carry digits. For any kind of advance Changchang system, the base X system, it means that the number operation on the scatter of each position is every x to one digit.

There are many examples of decimal systems in our daily lives. For example: one minute and sixty seconds, every sixty into one, is the hexadecimal; Twenty-four hours a day, every twenty-one, is the twenty-first system; Seven days a week, every seven into one, that is, the septimal system; Twelve months in a year, every twelve into one, is the decimal system; Primary school mathematics is every decimal one, which is the decimal system.

The reason why binary is generated.

There are only two states of electronic components at the bottom of the computer (high level and low level, that is, there is electricity and there is no electricity), and 0 and 1 are used to represent these two different states, 0 means low level, and 1 means high level. Therefore, 0 and 1 are the most basic units of storage for a computer and the most basic units of calculation adopted by the CPU. That's binary.

Binary languages are the essence of computer languages. <>

Binary to Hexadecimal Method: Take the 4-in-1 method.

Take the four-in-one method, that is, from the decimal point of the binary as the demarcation point, to the left (to the right) every four digits into a one, and then add the four binaries according to the weight of filial piety, and the number obtained is a sixteen-digit binary number.

Then, in order, the decimal point remains the same, and the resulting number is the hexadecimal number we are looking for. If you take four digits to the left (right) and get the highest (lowest) digit of skill, if you can't make up four digits, you can add 0 to the leftmost (rightmost) digit of the decimal point, that is, the highest digit (lowest digit) of the integer, and make up four digits.

Recognition of the base system:

The base system, also known as the carry counting system, is an artificially defined counting method with carry digits (there are counting methods without carrying, such as the original knot notting method, the orthography commonly used when singing votes, and similar tallymark counting).

For any kind of base --- x system, it means that the number on each bit is calculated every x digit. Decimal is every 10 to 1, hexadecimal is 1 to 16, binary is every 2 to 1, and so on, x base is every x round. <>

Summary. Hexadecimal is a carry system used by computers, which includes a total of 16 numbers from 0-9 and a-f. Binary is a type of carry system that uses only the digits 0 and 1.

Converting hexadecimal to binary can be done with the following steps:1Convert each digit of a hexadecimal number to a 4-digit binary number.

For example, convert the hexadecimal number 2a to the binary number 0010 and remove the leading zeros if desired. For example, 0010 1010 can be shortened to 10 1010. <>

Hexadecimal is a carry system used by computers, which includes a total of 16 numbers from 0-9 and a-f. Binary is a type of carry system that uses only the digits 0 and 1. Converting hexadecimal to binary can be done by following these steps:

1.Convert each digit of the hexadecimal number to a 4-digit binary number. For example, convert the hexadecimal number 2a to the binary number 0010 and hold the leading zero-key leather chain if needed.

For example, 0010 1010 can be shortened to 10 1010. <>

This is an easy way to convert a hexadecimal number to a binary number. Note that binary nuclei usually have a lot more digits than hexadecimal numbers, as each hexadecimal digit needs to be converted to a 4-digit binary number. <>

To convert hexadecimal to binary, you can use the following steps:1Split a hexadecimal number into four digits (for example, 0xff can be split into 0x0f).

2.For each number, convert them to a four-digit binary number. Convert 0x0a to binary:

0x0a = Combine the four binary digits of each digit into a single binary number, and command the keypad to get the final binary number. For 0xff, it converts the balance of handicat to: 0xff = 11111111.

Therefore, the conversion of a hexadecimal number 0xff to a binary number is 11111111.

To convert a hexadecimal number to a binary number, you can first convert each digit number in the hexadecimal number, such as the split-front number, to a four-digit binary number. This gives you the corresponding binary number. For example, to convert a hexadecimal number 0x3a to a binary number, you first need to convert 3 and a to binary numbers, respectively.

The binary number corresponding to 3 is 0011, and the binary slag number corresponding to a is 1010. Therefore, the binary number corresponding to 0x3a is 00111010. For another example, if you convert a hexadecimal number 0xff to a binary number, the binary number corresponding to f is 1111, so the binary number corresponding to 0xff is the Yuchang 11111111.

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Here's how to convert binary to hexadecimal:1Group binary numbers in groups of four.

2.According to the representation of hexadecimal numbers, each set of binary numbers is converted into the corresponding hexadecimal number. For example:

1100 1011 1001 0100 (binary) to hexadecimal with the following steps:1Group of 4 digits:

1100 1011 1001 01002.Convert each set of binary numbers to the corresponding hexadecimal number: c b 9 43

Get the final result: CB94 (hexadecimal).

Binary to hexadecimal.

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Here's how to convert binary to hexadecimal:1Group binary numbers in groups of four.

2.According to the representation of hexadecimal numbers, each set of binary numbers is converted into the corresponding hexadecimal number. For example:

1100 1011 1001 0100 (binary) to hexadecimal with the following steps:1Group of 4 digits:

1100 1011 1001 01002Convert each set of binary numbers into the hexadecimal number corresponding to Xundong: c b 9 43

Get the final result: CB94 (hexadecimal).

In addition to the sedan example, you can also use the following method to convert binary to hexadecimal: 1Group binary numbers in groups of four.

2.Convert each set of binary numbers into the corresponding decimal number of the ten manuscripts. 3.

According to the representation of the hexadecimal number, each decimal number is converted into the corresponding hexadecimal number. For example: 1100 1011 1001 0100 (binary) to hexadecimal

1.Group of 4 people: 1100 1011 1001 01002

Convert each set of binary numbers to the corresponding decimal number: 12 11 9 43Convert each decimal number to the corresponding hexadecimal number:

c b 9 44.Get the final result: CB94 (hexadecimal) The above two methods can be converted from binary numbers to hexadecimal numbers, and which method to choose depends on personal habits.

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The conversion method of binary to hexadecimal is as follows: the method of converting binary to hexadecimal is to take the four-in-one method, that is, from the decimal point of binary as the demarcation point, every four digits to the left or right to take one bit, after the composition is good, compare the corresponding table of binary and hexadecimal numbers to add the four old two old decimal systems according to the weight, and the number obtained is a hexadecimal number, and then arranged in order, the position of the decimal point remains unchanged, and the final result is the hexadecimal number. Note the notation of the hexadecimal system, which is represented by the letter h suffix, for example, bh represents the hexadecimal number 11, and can also be expressed with the 0x prefix, for example, 0x23 is 23 in the hexadecimal system.

It should be noted here that when taking four digits to the left or right, if you can't make up the four digits with the highest or lowest digits, you can add 0 to the leftmost or rightmost decimal point for conversion. Characteristics of hexadecimal: 1. The English letters a, b, c, d, e, and f represent numbers respectively.

2. After counting to f, add 1 more and carry it up. 3. Hexadecimal number is a commonly used counting method in computers, which can make up for the lack of too long written digits in binary numbers, and is also used in televisions. 4. Hexadecimal numbers are represented starting with 0x.