Quick Answer: How Many Numbers Can Be Represented With 16 Bits?

How many numbers can 10 bits represent?

A 10-bit binary number cannot exceed: 11 1111 1111 or 3FFh or 1023 decimal.

But, the maximum number of Cylinders we can reference in 10 bits is 1024, since we begin counting from zero..

How many numbers can be represented with 12 bits?

12 binary digits, or 3 nibbles (a ‘tribble’), have 4096 (10000 octal, 1000 hexadecimal) distinct combinations. Hence, a microprocessor with 12-bit memory addresses can directly access 4096 words (4 Kw) of word-addressable memory.

What’s the largest decimal number that you can represent with 3 bits?

7The largest decimal number that you can represent with 3 bits is 7.

What’s the smallest decimal number that you can represent with 3 bits?

Answer and Explanation: The smallest decimal number that you can represent with three bits is either 0 or -4.

How many bits are needed to represent 32 things?

Four bits5. Four bits can be used to represent 32 unique things. 6.

Why do bytes have 8 bits?

The byte was originally the smallest number of bits that could hold a single character (I assume standard ASCII). We still use ASCII standard, so 8 bits per character is still relevant. This sentence, for instance, is 41 bytes. That’s easily countable and practical for our purposes.

How many numbers can be represented with 24 bits?

The range of unsigned integers that can be represented in 24 bits is 0 to 16,777,215 (FFFFFF16 in hexadecimal). The range of signed integers that can be represented in 24 bits is −8,388,608 to 8,388,607.

How many numbers can be represented with 3 bytes?

Like a byte is a group of 8 bits, a buffer is a group of a pre-defined number of bytes. If we have a group of 3 bytes, this could either represent 3 values between 0 and 255, but also one single value between 0 and 16777216 (2563).

How many bytes is 8 numbers?

A computer stores a real number (also known as floating point) in finite number of digits, typically 4 bytes = 32 bits for single precision, or 8 bytes = 64 bits for double precision. The following is an example of the IEEE format for a 4-byte single precision real number.

What happens to values above 255 in binary?

An example of an 8-bit overflow occurs in the binary sum 11111111 + 1 (denary: 255 + 1). … Overflow errors happen when the largest number that a register can hold is exceeded. The number of bits that it can handle is called the word size . Most CPUs use a much bigger word size than 8 bits.

How many bits do I need to represent a number?

How many bits do numbers in this range require? It varies. For example, consider four-digit decimal integers. Using the above formula you’ll see that the smallest four-digit number, 1000, requires 10 bits, and the largest four-digit number, 9999, requires 14 bits.

How many numbers can 64 bits represent?

As a recap, remember that the maximum number stored in a 64 bit register / variable is 2^64 – 1 = 18446744073709551615 (a 20 digit number).

How many numbers can 7 bits represent?

The number 1010110 is represented by 7 bits. Any number can be broken down this way, by finding all of the powers of 2 that add up to the number in question (in this case 26, 24, 22 and 21). You can see this is exactly analagous to the decimal deconstruction of the number 125 that was done earlier.

How many bits do you need to represent 512 numbers?

9Since 512 is equal to , N is equal to 9. Thus, the number of bits required to represent 512 unique integer values is 9. The values range in binary from 000000000 through 111111111, or 0 through 511 in decimal.

What is 2 bits called?

When it comes to two bits, the quarter-dollar stands for the required amount. But how about an odd bit? The nearest coin to it is a dime, which is, short by a fifth. That, then, is called a short bit.

What is the largest number that can be represented by 16 bits?

A 16-bit integer can store 216 (or 65,536) distinct values. In an unsigned representation, these values are the integers between 0 and 65,535; using two’s complement, possible values range from −32,768 to 32,767. Hence, a processor with 16-bit memory addresses can directly access 64 KB of byte-addressable memory.

What’s the largest decimal value you can represent in binary with just 8 bits?

The largest number you can represent with 8 bits is 11111111, or 255 in decimal notation. Since 00000000 is the smallest, you can represent 256 things with a byte. (Remember, a bite is just a pattern.

How many unique values can 2 bits hold?

four different valuesIn binary (base 2), two digits can represent four different values (2 ^ 2), and in decimal (base 10), two digits can represent 100 different values (10 ^ 2). They mean exactly that: Two bits store the values 0, 1, 2, and 3, which have a binary encoding of 00, 01, 10, and 11, respectively.