Understanding Binary Value Conversion

What is binary value?

Binary value refers to a situation where the biggest value in a set of binary digits is all 1's. In decimal numbers, the biggest value is when the number is made up of 9's. For example, the binary value of decimal 15 is 1111, where all the digits are 1's, signifying the highest value in binary.

Binary Value of Decimal Numbers

The binary value of decimal 10 is A: The statement is false. In binary, decimal 10 is represented as 1010, not A. A represents 10 in hexadecimal notation.

The binary value of decimal 13 is 1001: This statement is false as well. The correct binary representation of decimal 13 is 1101, not 1001.

The binary value of decimal 15 is 1111: This statement is true. The binary representation of decimal 15 is indeed 1111, following the concept of the biggest value in binary being all 1's.

The binary value of decimal 14 is E: Once again, this statement is false. E represents 14 in hexadecimal notation, not the binary value. The correct binary representation of decimal 14 is 1110.

From the data provided, it is clear that the binary value of decimal 15 is accurately represented as 1111. This conversion follows the basic principles of binary value, where the highest value is indicated by all digits being 1.