Question

find the internal representation of 531, if the computer uses a 32 bit memory location to store each number

Answer 1

The internal representation of 531 using a 32 bit memory location to store each number is; 00000000000000000000001100100001

Representation of numbers in the computer

When representing numbers, they are divided by 2 as follows;

• 531/2 = 265 remainder 1

• 265/2 = 132 remainder 1

• 132/2 = 66 remaining 0

• 66/2 = 33 remainder 0

• 33/2 = 16 remainder 1

• 16/2 = 8 remainder 0

• 8/2 = 4 remainder 0

• 4/2 = 2 remainder 0

• 2/2 = 1 remainder 0

• 1/2 = 0 remainder 1

Hence, the representation of 531 in a computer using a 32 bit memory is;

• 00000000000000000000001100100001.

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