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What is the Largest 16 bit number?

Updated: 8/9/2023
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13y ago

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1111111111111111 (216 - 1 = 65535)

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12y ago
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13y ago

A 16-bit number is a number made of 16 binary digits. The largest 16-bit number is 1111111111111111 in binary (sixteen 1s), which is equal to 65535 in decimal.

This is presuming that you are using an 'unsigned' 16-bit number, which can store numbers from 0 to +65535. If you want to be able to store negative numbers as well, 16-bits will let you store numbers from -32768 to +32767, if you use the two's-complement method for storing a 'signed' value.

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13y ago

Just as with the base 10 numbering system, there is no 'largest number' in binary. Whichever number you think of as the largest can always be made larger by the addition of an extra digit on the end. Infinity exists in all bases, but by its nature does not take an integer value.

But if you are talking about a specific amount of bits (in a computer) to represent a number, then there is. Example: 1 byte (8 bits) can hold values from 0 to 255 (decimal). 2 bytes (16 bits) can represent 0 to 65535. Sometimes, one of the bits will be designated as a sign bit (say 0 for positive and 1 for negative, I can't remember which one is normally used). In that case, 16 bits could represent from -32768 to +32767. In 64 bits could represent numbers from 0 to the order of 1.84 x 1019. And there is 128 bits (used in some encryption algorithms) could represent about 3.4 x 1038 different numbers. Usually we don't deal with just integers, in calculations though. So one way is to represent the 'floating point' portion with a certain number of bytes, then have another set of bytes to represent the 'exponent' (Like in scientific notation)

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10y ago

It's 16,383 for integer values or 16,384 for counting values.



14 bits, unsigned, allows you to express 16,384 values; if you want to include zero, which generally you do, the limit is one less.



Of course, if you're not trying to express every integral value, you can use 14 bits to express a number as big as you want; say, have the machine interpret the value as an exponent for some other number. If your base is 10, then the largest value would be 1 with 16,383 zeros after it. Of course, it'd be impossible to express a value like 7 that way!

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8y ago

The largest unsigned integer is 65535;

The largest signed integer is 32767.

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13y ago

The largest number in 16-bit binary is 65535 and is represented by 11111111-11111111.

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11111111111111

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FFFF

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Q: What is the Largest 16 bit number?
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Continue Learning about Engineering

What is the largest hex value that can move into a 16-bit register?

In unsigned notation, 0xFFFF (65,535 decimal) is the largest value that will fit in a 16-bit register. In signed notation, 0x7FFF (32,767 decimal) is the largest because the most-significant bit denotes the sign.


How do you set 6th bit of a number to 0 of a 16-bit number irrespective of its initial value?

In C: result = value & ~0xFFDF


What is the largest positive number one can represent in an eight-bit two's complement code?

127.


What is 16 bit compiler?

Quite simply, a 16-bit compiler is a compiler for a 16-bit machine.


What is the difference between 16 bit compilers and 32 bit compilers in C?

16 bit compilers compile the program into 16-bit machine code that will run on a computer with a 16-bit processor. 16-bit machine code will run on a 32-bit processor, but 32-bit machine code will not run on a 16-bit processor. 32-bit machine code is usually faster than 16-bit machine code.-DJ CraigNoteWith 16 bit compiler the type-sizes (in bits) are the following: short, int: 16long: 32long long: (no such type)pointer: 16/32 (but even 32 means only 1MB address-space on 8086)With 32 bit compiler the object-sizes (in bits) are the following:short: 16int, long: 32long long: 64pointer: 32With 64 bit compiler the object-sizes (in bits) are the following:short: 16int: 32long: 32 or 64 (!)long long: 64pointer: 64[While the above values are generally correct, they may vary for specific Operating Systems. Please check your compiler's documentation for the default sizes of standard types]Note: C language itself doesn't say anything about "16 bit compilers" and "32 bit compilers"

Related questions

What is the largest integer that can be represented using a 16 bit number?

65,535


What is the largest number that can be represented by a 16-bit unsigned binary number?

216-1 or (2^16)-1


Is the largest 16 bit positive number?

Unsigned: 216-1. Signed: 215-1.


How many data lines are necessary in 16-bit microprocessor and what is the magnitude of the largest number that can be placed on its data bus?

The number of data lines required in a 16-bit microprocessor is 16, in the internal view, but could be something else, such as 8, in the external view. In the 8086/8088, the processor is 16 bits, and its internal data bus is 16 bits. The 8086 provides 16 bits on the external bus, but the 8088 provides 8 bits, even though they are the same internal processor - the 8088 simply uses two memory cycles to move one word. The largest number that can be represented on a 16 bit bus depends on the interpretation of that number. An unsigned 16 bit number ranges from 0 to 65535, so 65535 is the largest value when unsigned. A 16 bit two's complement signed number ranges from -32768 to +32767, so +32767 is the largest value when signed.


What is the largest decimal number that can be represented by a 16 bit binary word?

That would be 216 - 1, or 65535.


What is the Largest 16 bit positive number?

For an unsigned integer, that would be 216-1. For a signed integer in 2's complement notation, the largest number would be 215-1.


How many '1's are there in a 16 bit binary sequence?

In a 16 bit number there must be from zero to 16 '1'. If a bit does not have value zero then it has a value of 1. Nothing else can be represented by a bit. Example 0000 is a 4 bit number. Each bit is a zero. 1010 is also a four bit number. 0000111100001111 is a 16 bit number. 1100110011000001 is also a 16 bit number.


What is the largest prime number stored in 8 bit memory?

The largest number which can be stored in an 8 bit memory byte is 255. The largest prime number below 255 is 251.


What is the largest prime number that can be stored in an 8 bit memory?

The largest number which can be stored in an 8 bit memory byte is 255 .The largest prime number below 255 is 251.


What is the largest prime number that can be stored in 8 bit memory?

The largest number which can be stored in an 8 bit memory byte is 255 . The largest prime number below 255 is 251.


What is the Largest 8 bit number?

Largest 8 bit unsigned number is 11111111 binary thus making 255 in decimal.


What is the largest prime number that can be stored in 6 bit microprocessor?

largest prime no. 6-bit is 61.