0
How do you express the place values in the binary number system which uses base 2 and in the octal number system which uses base 8?
In the binary system the place values, going from right to left from the "decimal" point are: 20, 21, 22, 23 etc (that is 1, 2, 4, 8, ... )and to the right of the point are 2-1, 2-2, 2-3 etc (ie 1/2, 1/4, 1/8, ...).
Similarly, in the octal system they are 80, 81, 82 etc going left, and 8-1, 8-2 etc to the right.
What else can I help you with?
What is a binary numeral system?
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.
Why is a binary system called a base-2 system?
A binary system is called a base-2 system because it uses only two digits, 0 and 1, to represent all possible values. In contrast to decimal (base-10), which uses ten digits (0-9), the binary system relies on the powers of two for its positional values. Each position in a binary number represents a power of 2, allowing for the representation of larger numbers through combinations of these two digits. This simplicity makes binary particularly suited for computer systems and digital electronics.
What is Binary System is and how ito represents data?
The binary numeral system, or base-2 number systemrepresents numeric values using two symbols, 0 and 1. More specifically, the usual base-2 system is apositional notation with a radix of 2.
How many distinct states can a binary system represent?
A binary system can represent two distinct states, typically denoted as 0 and 1. Each bit in a binary system can hold one of these two values. When multiple bits are combined, the number of distinct states increases exponentially; for example, an n-bit binary system can represent 2^n distinct states.
What is 01101101 in binary?
The binary number 01101101 represents the decimal value 109. In the context of ASCII encoding, it corresponds to the lowercase letter 'm'. Binary is a base-2 numeral system that uses only two digits, 0 and 1, to represent values. Each digit in a binary number represents a power of 2, starting from the rightmost digit.
What is the binary number of the decimal value 181?
The binary values is 10110101.
What is the binary values of the decimal number 15?
It is 1111.
What is a binary numeral system?
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.
Why is a binary system called a base-2 system?
A binary system is called a base-2 system because it uses only two digits, 0 and 1, to represent all possible values. In contrast to decimal (base-10), which uses ten digits (0-9), the binary system relies on the powers of two for its positional values. Each position in a binary number represents a power of 2, allowing for the representation of larger numbers through combinations of these two digits. This simplicity makes binary particularly suited for computer systems and digital electronics.
What is Binary System is and how ito represents data?
The binary numeral system, or base-2 number systemrepresents numeric values using two symbols, 0 and 1. More specifically, the usual base-2 system is apositional notation with a radix of 2.
How many distinct states can a binary system represent?
A binary system can represent two distinct states, typically denoted as 0 and 1. Each bit in a binary system can hold one of these two values. When multiple bits are combined, the number of distinct states increases exponentially; for example, an n-bit binary system can represent 2^n distinct states.
A binary number has a value of what?
I'm not entirely sure what you're asking.In one sense, "binary number" means a quantity that can take on only two possible values. "True" or "False," for example. "On" or "off." "1" or "0."You can, however, represent other values using a "binary" system. Computers store ordinary numbers like "42" in a binary format. In that case, you'd have something like "0010 1010".
Why do you use binary system in digital electronics?
because binary system is the easy way to understand the inputs and outputs. and it has inly two values 1 or 0;
What is 01101101 in binary?
The binary number 01101101 represents the decimal value 109. In the context of ASCII encoding, it corresponds to the lowercase letter 'm'. Binary is a base-2 numeral system that uses only two digits, 0 and 1, to represent values. Each digit in a binary number represents a power of 2, starting from the rightmost digit.
How many symbols in an 8-bit binary number?
An 8-bit binary number consists of 8 symbols, each of which can be either a 0 or a 1. This means that there are two possible values for each bit. Therefore, an 8-bit binary number can represent a total of (2^8 = 256) different values.
Why or why not can all numbers be represented in a binary system?
All numbers can be represented in a binary number system. Binary is the base 2 number system, meaning that there 2 possible values per place: 0 and 1. A decimal system allows for 10: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. In a decimal system, you carry out and add a space once you pass 9. Thus, you end up with a 1 in the second place and a 0 in the first. The first space then counts up again. Similarly, a binary system adds a place when it reaches 2. In a decimal system, there are 10x numbers which can be represented by a system with x places. In binary, there are 2x possible numbers. If the number of places is infinite, an infinite number of values can be represented. Negative numbers can be represented in a variety of ways, from a dash as is commonly used in decimal to a 2's complement to a sign bit (i.e. a 1 or a 0 which will tell the reader or the machine the sign of the number).
If a binary number needs to represent 16 different values how long must the number be in bits?
4 bits
