Question

Conversion of a hexadecimal number $3D_{16}$ to binary number is?

• A. ${111101}_2$
• B. ${110011}_2$
• C. ${11000110}_2$
• D. ${110001}_2$
• E. None of the above

Answer 1

The correct option is A ${111101}_2$

Conversion of a hexadecimal number 3D16 to binary number is 1111012.

Hexadecimal describes a base-16 number system. ... 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.

For example, the hexadecimal 1 is equal to the binary 0001. To convert hexadecimal to decimal, multiply each place value in the hexadecimal number by the corresponding power of sixteen. Then, add all of the products together to get the decimal.