Binary and Decimal Conversion Quiz

The process of changing a number from decimal (base-10) to binary (base-2) representation, using a combination of division and remainders.

The process of changing a number from binary (base-2) to decimal (base-10) representation, using weighted powers of two.

The ability to understand how computers process and store data by converting between different numeral systems.

The use of binary code, a system based on 0s and 1s, underlies how computers store and manipulate information.

A theoretical knowledge of binary conversion can help in comprehending how data is compressed or optimized for efficient storage.

The decimal number system uses 10 digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9.

Any whole number can be represented using the decimal number system.

Breaking down a number into a sum of its place values, each multiplied by a power of 10.

The digit's position determines its value.

The value of a digit is multiplied by 10 raised to the power of its position in the number, starting from 0 for the rightmost digit and increasing to the left.

84 can be written as 8 * 10^1 + 4 * 10^0

225 can be written as 2 * 10^2 + 2 * 10^1 + 5 * 10^0

1376 can be written as 1 * 10^3 + 3 * 10^2 + 7 * 10^1 + 6 * 10^0

The base-10 representation allows us to understand the numerical value of any whole number.

The decimal number system is fundamental to understanding and working with numbers.

The base of a numbering system refers to the number of unique digits used to represent numbers in that system. For example, base 10 (decimal) uses 10 digits (0-9), while base 2 (binary) uses 2 digits (0 and 1).

The decimal number system, also known as base 10, uses ten unique digits (0-9) to represent numbers. Each digit's position represents a power of 10.

The binary number system, also known as base 2, uses only two digits (0 and 1) to represent numbers. Each digit's position represents a power of 2.

In the binary number system, each digit occupies a place value that represents a power of 2. This is similar to the decimal system, where each digit represents a power of 10.

Any whole number or decimal can be represented using the binary number system, despite having only two digits (0 and 1).

The leftmost bit of a binary number representing a signed integer designates the sign; 0 for positive (+) and 1 for negative (−).

The remaining bits after the sign bit in a signed binary number represent the magnitude of the value.

In decimal to binary conversion, the largest power of two that is less than or equal to the decimal number is identified, and the process continues by subtracting the value of that power of two from the decimal number and repeating with the remaining value.

When converting decimal to binary, after finding the largest power of two, the result is written as 1, and the remaining digits are determined by repeating this process for the reduced decimal value. If a power of two is not used, a 0 is written in its place value.

A binary number is a number expressed in base-2, using only 0s and 1s.

Each position in a binary number represents a power of 2, starting from 2^0^ (which is 1) on the rightmost side.

To convert a binary number to decimal, multiply each digit by its corresponding power of 2 and add the results.

A bit (binary digit) is a single digit in a binary number, representing either 0 or 1.

A byte is a group of 8 bits, commonly used to represent characters, symbols, or small pieces of data.

A nibble is a group of 4 bits, often used as a smaller unit within a byte.

A binary number with 4 digits can represent values from 0 to 15.

A binary number with 8 digits can represent values from 0 to 255.

The subscript '2' is used to indicate that a number is in binary (base-2) representation.

The subscript '10' is used to indicate that a number is in decimal (base-10) representation.

For converting a number to binary, the binary representation of the number is written with a subscript of 2.

Using place value system, each digit in a binary number is multiplied by a power of 2, and then the results are added to create the equivalent decimal value.

A binary number can be converted to its decimal equivalent through a process of multiplying each digit by its corresponding power of 2 and adding the results together.

To convert from binary to decimal, each position of the binary number is multiplied by its corresponding power of 2, and then the results are added.

In binary, each digit's position represents a power of two, starting with 2^0 for the rightmost digit and increasing to the left. The value of each digit is determined by multiplying its power of two by its value (0 or 1).

Each digit in a binary number represents a power of two. Starting from the rightmost digit, the first digit represents 2^0 (1), the second digit represents 2^1 (2), the third digit represents 2^2 (4), and so on.

When converting binary to decimal, multiply each binary digit by its corresponding power of two and add the results.

When converting decimal to binary, repeatedly divide by 2 until the quotient becomes 0. The remainders, in reverse order, make up the binary representation.

The decimal number system uses ten digits: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. In this system, each digit's place value is a power of ten.

A decimal number's value is determined by summing each digit multiplied by its corresponding power of ten.

Binary (base-2) and decimal (base-10) are two different number systems. Binary uses only two digits (0 and 1), while decimal uses ten digits (0 through 9).

The decimal number system is the standard system used for everyday numerical representation, while binary is essential for computers, as they rely on 0s and 1s to represent data.