Question

Conversion of hexadecimal number $1D7F_{16}$ to a decimal number is?

• A. ${7551}_{10}$
• B. ${8771}_{10}$
• C. ${5557}_{10}$
• D. ${7781}_{10}$
• E. None of the above

Answer 1

The correct option is A ${7551}_{10}$

Conversion of hexadecimal number 1D7F16 to a decimal number is 755110

The hexadecimal numbers are 0-9 and then use the letters A-F. We show the equivalence of binary, decimal, and hexadecimal numbers in the table below. Hexadecimal is a convenient way to express binary numbers in modern computers in which a byte is almost always defined as containing eight binary digits.

To convert binary numbers into hexadecimal numbers we must first divide the binary number up into a 4-bit binary word which can have any value from 010 ( 00002 ) to 1510 ( 11112 ) representing the hexadecimal equivalent of 0 through to F.