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Q: How many different values can be represented in 6 binary digits?

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4 these are 00,01,10 and 11...

With 6 binary digits, you have 26 different possibilities. This is because there are two possibilities for each digit, and each digit is independent of the other digits - so you just multiply the possibilities for each digit together.

24, or 16 (0 through 15) One binary digit (bit) can have 21 values (0 or 1). Two bits can have 22 values. Three bits can have 23 values. A five-bit number can have 25 values... and so on...

256 (162)

These digits can be represented based on their Place Value Notation.

In a computer data is represented as a series of usually binary digits. In the binary system the only numbers/values used are 0 and 1.

Because a 2-digit hex number can represent up to 256 values (including zero) - whereas the binary equivalent would require 8 binary digits (bits).. This saves space on paper.

The different digits have different values.

It is a system of representing numbers using only the digits 0 and 1, and in which the place values of digits are powers of 2.

Advantage of binary over decimal: information can be recorded and stored in any dichotomous variable: magnetised or not magnetised (most electronic media), pit or no pit (optoelectronic media CDs/DVDs). For decimal it would be necessary to store as 10 different levels of magnetisation or depths of pits. Not so easy to make such a system error-free. Advantage of decimal over binary: fewer "digits" required. Every ten binary digits (1024 values) can be replaced by just a shade more than three decimal digits (1000 values). So the number of digits to be stored is less than a third.

1. A single bit can represent two different values, 0 and 1. Then simply take the largest of those two possible values, 1, and that's your answer.

Each hexadecimal digit represents four binary digits (bits) (also called a "nibble"), and the primary use of hexadecimal notation is as a human-friendly representation of values in computing and digital electronics. For example, binary coded byte values can range from 0 to 255 (decimal) but may be more conveniently represented as two hexadecimal digits in the range 00 through FF. Hexadecimal is also commonly used to represent computer memory adresses.

First lets start with some basic concepts. We normall use base 10 (0 through 9); Binary or Base 2 uses 1's and 0's. In base 10 the place values are based on 10 ( ie 14 means one set of 10 + 4); in binary the place values are based on 2. 2 would be represented as 10 in binary, 4 would be represented as 100 in binary, 5 would be represented as 101 in binary. Applying this to 14 results in one set of 8 + one set of 4 plus one set of 2, which gives us 1110 which is 14 in binary.

A digital signal. Specifically, a binary signal.

The two sets of digits have different place values.

32 values. 2^5=32

Decimal is base-10. That's the system we (humans) most commonly use. Binary is base-2. This is the system used by digital computers. Hexadecimal is base-16. This is the system humans use to represent binary values in a computer. Any base that is itself a power of 2 can be used to represent binary values. This includes octal and base-4. However, base-16 is the most convenient notation because each hex digit maps to 4 binary digits (bits) while octal digits map to 3 bits and base-4 digits map to 2 bits.

It would be 2 raised to the power 32: 4,294,967,296.

Decimal (more formally, binary coded decimal) values store numeric information as digits encoded using the four bit binary equivalents: 0 (0000) to 9 (1001). That means a single byte can hold values between 0 and 99. But simply using the same byte to hold a binary value will yield values between 0 and 255 (or –128 and +127).

Usually it's converted to other values for human use. As far as the computer "sees" it, the number is always stored in binary.

assigning discrete integer values to PAM sample inputs Encoding the sign and magnitude of a quantization interval as binary digits

A binary (base-2) digit is similar to the more familiar decimal (base-10) digits - the main difference being that only two digits are used instead of 10, and the place-value of each position is 2 times as much as the one to the right, rather than 10 times as much. For more information, check the Wikipedia with the title "Radix".

Neither of the following are true about 1 bit, it can not represent decimal values 0 and 9 nor can it be used to represent one character in the lowercase English alphabet and one binary digit four binary. A true statement would be that 1 bit is represented by the decimal values 0 or 1.

Its main utility is in representing the truth value statements, rather than the numeric quantities of ordinary algebra. It is used in the binary system in digital computers. The only truth values, true and false can be represented by the binary digits 1 and 0. The fundamental operators (Boolean logic) are "and,' "or," and "not." Thirteen other operators can be made up using a combination of these operators.

A binary numeral system is system for representing numbers in which a radix of 2 is used - so that each digit in a binary numeral may have either of two different values.