: how many bits (binary) does it take to represent these numbers course hero

by Jarvis Wisozk 4 min read

How many combinations can be represented with only 3 bits?

It takes 9 bits to represent the octal ‘612’ and it takes 7 bits to represent the octal ‘126’ because the leading ‘0’ are not needed. Since ‘612’ is larger than …

What is a binary number?

Oct 24, 2019 · a) 16 b) 8 c) 11 d) 2013. c ) 11. 2) How many bytes does it take to store the binary equivalent of the decimal number 1945? a) 1 b) 2 c) 4 d) 10. b ) 2. 3) The largest number that can be represented 8 bits without considering a sign is a) 15 b) 255 c) 65,535 d) 10,000,000.

How many unique bit patterns can be represented with 5 bits?

2) How many bytes does it take to store the binary equivalent of the decimal number 1945? Solution: 1 byte can hold 8 bits since the binary equivalent of 1945 is 11110011001, it contains a total of 11 bits so it will be needing 2 bytes of storage.

How many bytes is a binary byte?

For example, when we study colors later on, it turns out that to completely specify a color takes 24 bits! (“bit” = binary digit) Here is an example: 100110010011001111111111 There are 2 kinds of shorthand to help us. They are called octal and hexadecimal. Octal Octal means base 8, and 8 …

How many bits are required to represent a number in binary?

Each digit in a binary number is called a bit. The number 1010110 is represented by 7 bits....Convert 0.100 1001 from binary to decimalAnswer 0.5703125Approximate 0.9 as a binary fraction (use 8 bits)Answer 0.111 00113 more rows

How do you find the number of binary bits?

To find the number of binary digits (bits) corresponding to any given decimal integer, you could convert the decimal number to binary and count the bits. For example, the two-digit decimal integer 29 converts to the five-digit binary integer 11101.Dec 13, 2012

How many bits can binary hold?

With 4 bits, the maximum possible number is binary 1111 or decimal 15. The maximum decimal number that can be represented with 1 byte is 255 or 11111111. An 8-bit word greatly restricts the range of numbers that can be accommodated....Maximum Decimal Value for N Bits.Number of BitsMaximum States324,294,967,296 (4 G)5 more rows

How many binary bits are there?

A binary digit is called a bit. There are two possible states in a bit, usually expressed as 0 and 1. A series of eight bits strung together makes a byte, much as 12 makes a dozen. With 8 bits, or 8 binary digits, there exist 2^8=256 possible combinations.

How many bits does it take to represent the decimal number 48?

6 bits48 in binary is 110000. Unlike the decimal number system where we use the digits 0 to 9 to represent a number, in a binary system, we use only 2 digits that are 0 and 1 (bits). We have used 6 bits to represent 48 in binary.

How many binary digits are needed to represent a number?

binary number system, in mathematics, positional numeral system employing 2 as the base and so requiring only two different symbols for its digits, 0 and 1, instead of the usual 10 different symbols needed in the decimal system.

Does 8 bytes equal 1 bit?

The correct answer is 8 bits. A byte is a unit of digital information that most commonly consists of eight bits. Historically, the byte was the number of bits used to encode a single character of text in a computer and for this reason, it is the smallest addressable unit of memory in many computer architectures.

How many 3 bit binary numbers are there?

There are actually eight three-digit binary numbers, since each position can get two values, hence 2×2×2=8.Sep 24, 2014

How many bytes is a binary bit?

8-bitsEach 1 or 0 in a binary number is called a bit. From there, a group of 4 bits is called a nibble, and 8-bits makes a byte. Bytes are a pretty common buzzword when working in binary. Processors are all built to work with a set length of bits, which is usually this length is a multiple of a byte: 8, 16, 32, 64, etc.

How many bits do you need to represent the decimal number 256?

9 bits256 in binary is 100000000. Unlike the decimal number system where we use the digits 0 to 9 to represent a number, in a binary system, we use only 2 digits that are 0 and 1 (bits). We have used 9 bits to represent 256 in binary.

Is binary always 8-bit?

In the electronics world, each binary digit is commonly referred to as a bit. A group of eight bits is called a byte and four bits is called a nibble....Binary Numbers.Decimal, Base 10Hexadecimal, Base 16889910A11B15 more rows

How many numbers can be represented with 16 bits?

65,536A 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.