What is the binary of 15? What is the binary number of 16

2. Convert decimal numbers to binary numbers.

When converting decimal numbers to binary numbers, the integer and decimal parts of the decimal numbers are converted separately and then merged because of the different conversion methods for integers and decimals.

1.Convert decimal integers to binary integers.

Decimal integers are converted to binary integers"Divide by 2 and take the remainder and arrange them in reverse order"Law. The specific method is: remove the decimal integer with 2 to get a quotient and remainder; Removing the quotient with 2 again will give a quotient and remainder, and so on until the quotient is zero, and then the remainder obtained first will be used as the lower significant digit of the binary number, and the remainder obtained later will be used as the high significant digit of the binary number, and then they will be arranged in order.

Example 1107 converts (173)10 to binary numbers.

Solution: 1111

Binary is a system of numbers that is widely used in computing technology. Binary data is a number represented by two numbers, 0 and 1. Its cardinal number is 2, the carry rule is "every two into one", and the borrowing rule is "borrow one to become two", which was discovered by Leibniz, a German master of mathematical philosophy in the 18th century.

Current computer systems use basically binary systems, and data is stored in computers mainly in the form of complements. Binary in a computer is a very tiny switch, with "on" for 1 and "off" for 0.

The invention and application of the computer, which is known as one of the important symbols of the third scientific and technological revolution in the 20th century, because the digital computer can only recognize and process the data determined by '0''1' symbol string. The mode of operation is binary.

The 19th-century Irish logician George Bull's thought process on logical propositions was translated into pairs of symbols"0''.''1''In some kind of algebraic calculus, binary is a base system that is a base of every 2 digits. Because it uses only two number symbols, it is very simple and convenient and easy to implement electronically.

16'sBinary numbersIt's 10000. Common decimal systems are binary, octal, and hexadecimal.

How to convert a number from modulo decimal system.

To convert to binary, you can use remainders.

Short division. 16÷2=8，8÷2=4，4÷2=2，2÷2=1。Divide to the remainder is not divisible by 2. Finally, write the remainder from the bottom to the top and change the head, and write 00001 in reverse, which is 10000.

Logical operations on binary numbersIn formal logic, logical operators or logical conjunctions connect statements into more complex and complex statements. For example, suppose there are two logical propositions, "It's raining" and "I'm in the house," we can make them into complex propositions "It's raining, and I'm in the house" or "It's not raining" or "If it's raining, then I'm in the house." A new statement or proposition that combines two statements is called a compound statement or compound proposition.

The binary number of 16 is 10000.

Binary is a counting system that uses only two numbers, 0 and 1, to represent numeric values. Each binary digit should have a weight for the mu of virtual spikes, and this weight is to the power of 2. From right to left, the weight of each bit is 2 to the power of 0, 2 to the power of 2, 2 to the power of 2, and so on.

For the decimal number 16, we can use binary numbers to represent it. First, we need to determine the highest number of digits in a binary number of 16. The highest number of digits is 2 to the power of 16.

We can find the highest digit by constantly comparing the power of 2 to the power of 16.

Therefore, the highest digit is 2 to the 4th power, i.e. 16 binary numbers have 5 digits.

Next, let's start with the highest bit and compare the weight of each bit of Xunbu with 16. If the weight is less than or equal to 16, the bit is 1, otherwise it is 0. Eventually, we get a binary number of 16 as 10000. This is because:

Therefore, the binary number of 16 is 10000.

The binary number of 16 is 10000, which is a way to represent numbers with 0 and 1. Each binary number represents a certain power of 2, from right to left, 2 to the power of 0, 2 to the power of 1, 2 to the 2nd power, and so on. For example, 10000 is 2 to the 4th power, which is 16.

To convert a decimal number to a binary number, you can use the remainder short division, which is to constantly remove the number with 2, and then write the remainder from the bottom up each time, and finally reverse it is a binary number. For example, 16 2 = 8 ......0，8÷2=4……0，4÷2=2……0，2÷2=1……0，1÷2=0……1, so the binary number of 16 is 10000.

Message received. The binary number of 16 is 10000, which is a way to represent numbers with 0 and 1. Each binary number represents a certain power of 2, from right to left, 2 to the power of 0, 2 to the power of 1, 2 to the 2nd power, and so on.

For example, 10000 is 2 to the 4th power, which is 16. To convert a decimal number to a binary number, you can use the remainder short division, that is, Guess Kai constantly removes the number with 2, and then writes the remainder from bottom to top each time, and finally the reverse is the binary number. For example, 16 2 = 8 ......0，8÷2=4……0，4÷2=2……0，2÷2=1……0，1÷2=0……1, so the binary number of 16 is 10000.

The way to convert binary to decimal is to multiply each bit of binary by the corresponding power of 2 and then add the results together. From right to left, the power of the integer part increases from 0 and the power of the decimal part decreases from -1. For example,

The binary number argument of 16 is 10000. In binary systems, the value on each bit represents the power of 2. From right to left, the first bit means 2 0, the second bit means 2 1, the third bit means 2 2, and so on.

Therefore, the binary number of 16 can be expressed as 1 * 2 4 + 0 * 2 3 + 0 * 2 2 + 0 * 2 1 + 0 * 2 0, and the simplified carryover is 10000.

The binary representation of the decimal number 16 is 10000.

In a binary system, the weight on each bit is a power of 2, increasing from right to left. So, starting from the first position on the right, the weights on each bit are 1 and 2 0.

Decompose the empty carrier 16 into binary numbers:

So, the binary representation of the decimal number 16 is 10000.

Training Bureau. So the number of 16 rushing Nakano binary scattering is: 0001 0000

The binary of 16 is 10,000, which can be calculated as follows: 16 2 8 ......0 8÷2＝4……or 0 4 2 2 ......0 2÷2＝1…Shirt Sakura Hui....0 1÷2＝0……1, and then turn all the remainders upside down and put them horizontally to get 10,000.

The corresponding binary number is 1111. Decimal integers are converted to binary integers"Divide by 2 and take the remainder and arrange them in reverse order"Law.

Therefore, 1111, when the decimal number is converted to a binary number, because the conversion method of integer and decimal number is different, the integer part and decimal part of the decimal number are converted separately and then merged.

Binary numbers: Binary number division is very similar to decimal number division. If the dividend (or middle remainder) is greater than the divisor, then subtract the divisor from the dividend (or middle remainder) to the quotient of 1, and obtain the middle remainder after subtraction, otherwise the quotient is 0.

Then move the next digit of the dividend down to the last place of the middle remainder, and repeat the above process to get the required quotient and the final remainder.

The corresponding binary number is 1111. Decimal integers are converted to binary integers"Divide by 2 and take the remainder and arrange them in reverse order"Law.

Operation: Divide a decimal integer by 2 to get a quotient and remainder.

Removing the quotient with 2 again gives you a quotient and remainder, and so on until the quotient is 0.

The remainder obtained first is used as the lower significant digit of the binary number, and the remainder obtained later is used as the high significant digit of the binary number, and then arranged in order.

For example: 15:

Therefore, 1111, when the decimal number is converted to a binary number, because the conversion method of integer and decimal number is different, the integer part and decimal part of the decimal number are converted separately and then merged.

The binary conversion process of 16 is as follows:

1. The encoding of -16 is 10000000 00010000 (the first 1 is the sign bit).

2, -16 anti-code.

Yes 11111111 11101111 (the inverse of a negative number is indicated: the sign bit is unchanged, and the other bits are negated).

3. The complement of -16.

It is to add 1 to the last digit of the reverse code, so the complement of -16 is 11111111 11110000.

0 (decimal) = 0 (binary).

1 (decimal) = 1 (binary).

2 (decimal) = 10 (binary).

3 (decimal) = 11 (binary).

4 (decimal) = 100 (binary).

5 (decimal) = 101 (binary).

6 (decimal) = 110 (binary).

7 (decimal) = 111 (binary).

8 (decimal) = 1000 (binary).

9 (decimal) = 1001 (binary).

10 (decimal) = 1010 (binary).

11 (decimal) = 1011 (binary).

12 (decimal) = 1100 (binary).

13 (decimal) = 1101 (binary).

14 (decimal) = 1110 (binary).

15 (decimal) = 1111 (binary).

15 is 1111 in binary.

Divide 15 by 2 to find the remainder to convert binary:

15 2 = 7 surplus 1

7 2 = 3 remainder 1

3 2 = 1 and 1 remains

1 2 = 0 more than 1

The result is 1111

The result is 1111

Divide by 2 with short division, write the remainder at the back (the indivisible remainder is 1, the divisible remainder is 0), divide until the end, and then read the reading from the bottom to the top.

The binary of -16 is 10000000 00010000.

Conversion of integer decimal numbers to binary numbers is adopted"Divide by 2 and take the remainder and arrange them in reverse order"Law. Divide 2 by a decimal integer 16 to get a quotient 8 and a remainder 0; Then use 2 to remove quotient 8 to get quotient 4 and remainder 0, and continue until the quotient is 0 and the remainder is 1, and then take the remainder obtained first as the low significant bit of the binary number, and the later remainder as the high significant bit of the binary number.

In order, it is 00010000. The original code in the computer uses the highest digit to represent the positive and negative numbers, 1 is a negative number, and 0 is a positive number. i.e. 10000000 00010000.

The binary conversion process of 16 is as follows:

1. The encoding of -16 is 10000000 00010000 (the first 1 is the sign bit).

2. The inverse code of -16 is 11111111 11101111 (the inverse code of negative numbers indicates: the sign bit does not change, and the other bits are inverted).

3. The complement of -16 is to add 1 to the last digit of the inverse code, so the complement of -16 is 11111111 11110000.

The specific process is as follows:

1.The encoding of -16 is 10000000 00010000 (the first 1 is the sign bit).

2.The inverse of -16 is 11111111 11101111 (the inverse of a negative number means that the sign bit does not change, and the other bits are inverted).

3.The complement of -16 is added by 1 to the last digit of the inverse code, so the complement of -16 is 11111111 11110000.

I'm sure you're wondering what -16 looks like in memory. The specific process is as follows (explained in 2 bytes).

The encoding is 10000000 00010000 (the first 1 is the sign bit) and the inverse code is 11111111 11101111 (the inverse code of negative numbers means: the sign bit does not change, and the other digits are inverted).

The complement of the inverse code is to add 1 to the last digit of the reverse code, so the complement of 16 is 11111111 11110000

The computer holds the data in the form of complements. You can refer to how to get your complement code.