Question

Question: [30] [5] <§3.5> What decimal number does the bit pattern 0×0C000000 represent if it is a two’s complement integer? An unsigned integer?

Short answer

The two’s complement decimal integer number is 201326592.

For the unsigned integer, the number is 201326592.

Step-by-step solution

Define the concept.

The hexadecimal number system uses base 16 where the decimal number system uses base 10 and the binary number system uses base 2.

For example, “A” is equivalent to the value of decimal number system “10” and that is also equivalent to the value of binary number system “1010”.

An unsigned integer is referred to those numbers which have not the sign “+” or “-”. There is no bit reserved for representing the sign bit. The magnitude part of the required number is only represented.

Two’s complement number is one of the popular techniques in the digital number system for getting the two’s complement of the required number.

Determine the calculation.

0X0C000000 is equivalent to the 0000 1100 0000 0000 0000 0000 0000 0000. Where 0X0C000000 is in hexadecimal number system and 0000 1100 0000 0000 0000 0000 0000 is in binary number system.

“c” in the hexadecimal number system is equal to the 12 in the decimal number system, which is equal to 1100 in the binary number system.

The two’s complement and unsigned integer represent the same number because the first four-bit number is 0000 in binary in 0X0C000000.

0X0C000000 is equal to the value in the decimal number system.

As the position of c in hexadecimal number is 6.

And the hexadecimal number system uses base 16.