How many numbers can represent 16 bits?

How many numbers can represent 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.

How many unique values can a 16-bit immediate value hold?

It’s basically like this. If the word size of a machine is 16-bit, then you can store at most 2^16 = 65536 different combinations in one word. These combinations are often taken to be the numbers 0 to 65535 or -32760 to 32759 or memory locations.

How many different numbers can you represent with 7 bits?

128
Binary number representation

Length of bit string (b) Number of possible values (N)
7 128
8 256
9 512
10 1024

What is a 16-bit system?

16-bit is a computer hardware device or software program capable of transferring 16 bits of data at a time. For example, early computer processors (e.g., 8088 and 80286) were 16-bit processors, meaning they were capable of working with 16-bit binary numbers (decimal number up to 65,535).

How do you write 16-bit numbers?

The smallest signed 16-bit number is -32768 and the largest is 32767. For example, 1101,0000,0000,01002 or 0xD004 is -32768+16384+4096+4 or -12284.

How many different bit patterns can be formed if each must consist of exactly 16 bits?

There are four options: 00, 01, 10 and 11. A 1-bit image can have 2 colours, a 4-bit image can have 16, an 8-bit image can have 256, and a 16-bit image can have 65,536.

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

65,535
For an unsigned short, all 16 bits are used to represent the value, so the largest representable number is 216 − 1 = 65,535.

How many numbers can 8 bits represent?

8 bits, can represent positive numbers from 0 to 255. hexadecimal. A representation of 4 bits by a single digit 0..

What is the largest 16-bit binary number that can be represented with unsigned numbers?

65535
16 bit unsigned numbers There are 65,536 different unsigned 16-bit numbers. The smallest unsigned 16-bit number is 0 and the largest is 65535. For example, 0010,0001,1000,01002 or 0x2184 is 8192+256+128+4 or 8580. Other examples are shown in the following table.

What does a 16-bit compiler mean?

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.