Question

Define hexadecimal number representations.

A) Radix number: 16, Symbols: 0-9, Corresponding bit size: 4 bits, Conversion from decimal: Division by 16, Representation: Base-16 digits
B) Radix number: 8, Symbols: A-F, Corresponding bit size: 4 bits, Conversion from decimal: Multiplication by 16, Representation: Hexadecimal digits
C) Radix number: 16, Symbols: A-F, Corresponding bit size: 4 bits, Conversion from decimal: Division by 16, Representation: Hexadecimal digits
D) Radix number: 10, Symbols: 0-9, Corresponding bit size: 3 bits, Conversion from decimal: Division by 8, Representation: Base-16 digits

Answer 1

Hexadecimal numbers are base-16 numerals using symbols 0-9 and A-F, able to represent 4 binary digits each, converted from decimal by division by 16.

Step-by-step explanation:

Hexadecimal number representations are used in mathematics and computing to simplify the notation for binary-coded values. The correct definition as per the options provided is:

Option C)

Radix number: 16, Symbols: 0-9 and A-F, Corresponding bit size: 4 bits, Conversion from decimal: Division by 16, Representation: Hexadecimal digits. In this system, the number 16 is used as a base (radix), and it requires 4 bits to represent each hexadecimal digit. Symbols 'A' to 'F' represent values 10 to 15. To convert a decimal number to hexadecimal, you divide the number by 16 and use the remainder as the digit in the corresponding position. Hexadecimal numbers are widely used in computing for their conciseness in representing binary data.