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How many numbers can represent 16 bits?

Posted on April 28, 2020 by Author

Table of Contents

  • 1 How many numbers can represent 16 bits?
  • 2 What is the largest number you can represent with 16 bits?
  • 3 What is a group of 16 bits called?
  • 4 How many bits do I need to represent a number?
  • 5 How many numbers can 8 bits represent?
  • 6 How many bits are needed to represent 64 characters?
  • 7 How many signed and unsigned numbers can a 16-bit system represent?
  • 8 What is the meaning of 16 bytes of memory?

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 bits is the number 16?

128, 64, 32, 16. So you would have a 1 in the 16 column. So even though 1 bit is on, it requires 8 bits, to represent the number 16.

What is the largest number you can represent with 16 bits?

65,535
To an unsigned short? Solution Since 15 bytes are used to represent a short, with the 16th bit used for the sign, the largest number it can represent is 215 − 1 = 32,767. For an unsigned short, all 16 bits are used to represent the value, so the largest representable number is 216 − 1 = 65,535.

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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 group of 16 bits called?

unsigned WORD
BYTE – 8 bits, unsigned. WORD – 16 bits, unsigned. DWORD – 32 bits, unsigned.

What is a 16-bit signed integer?

Integer, 16 Bit: Signed Integers ranging from -32768 to +32767. Integer, 16 bit data type is used for numerical tags where variables have the potential for negative or positive values. Integer, 16 Bit Unsigned: Unsigned whole or natural numbers ranging from 0 to +65535.

How many bits do I need to represent a number?

8 bits, can represent positive numbers from 0 to 255. hexadecimal. A representation of 4 bits by a single digit 0.. 9,A…..

Decimal 4 bit 8 bit
3 0011 0000 0011
-3 1101 1111 1101
7 0111 0000 0111
-5 1011 1111 1011

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.

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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 A word contains 32 bits. There are 65,536 different unsigned 16-bit numbers. The smallest unsigned 16-bit number is 0 and the largest is 65535.

How many bits are needed to represent 64 characters?

A six-bit character code is a character encoding designed for use on computers with word lengths a multiple of 6. Six bits can only encode 64 distinct characters, so these codes generally include only the upper-case letters, the numerals, some punctuation characters, and sometimes control characters.

How many bits can be used to represent 2 numbers?

There are 8 bits to a byte and 2 possible combinations for each but 1 or 0 so one bit can represent 2 numbers as it has 2 possible combinations. The quick formula to find your answer is 2^n were n = the number of bits available. So we must do 8 x 16 to find the number of available bits which is 128 bits.

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How many signed and unsigned numbers can a 16-bit system represent?

1) A 16-bit system can represent 65535 1₀ signed numbers. (then i do the calculations) If you say that, make sure you explain under what circumstances that is the largest value (bearing in mind your Q3 above). 2) A 16-bit system can represent 131071 1₀ unsigned numbers.

What are the number patterns available in Bitbit?

Bit number patterns Bit depth Max (binary) Max (denary) Combinations available 1 1 1 2 2 11 3 4 3 111 7 8 4 1111 15 16

What is the meaning of 16 bytes of memory?

With 16 bytes, you can represent 2 16 × 8 distinct entities. Their meaning, whether a natural number, an integer, a floating point number, a color, an affine transformation, or anything else, is up to the program. Ultimately, in the computer, bytes of memory just hold patterns of bits. They’re not numbers per se.

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