LARGEST NUMBER
The largest positive value will consist of the largest positive mantissa and the largest positive exponent.
- Since mantissa is 16 bit, largest value is 0111 1111 1111 1111 , (one 0 followed by fifteen 1 s) which in two's complement is +215-1.
- The largest exponent is 0111 1111, which in two's complement is +27-1 (+127)
Largest value is (215-1) x 2 127
SMALLEST NUMBER
The smallest positive value will consist of the smallest positive mantissa and the largest negative exponent.
- Since mantissa is 16 bit, smallest value is 0000 0000 0000 0000 . Since it is assumed that one 1 is present always at rightmost, value is 1
- The largest negative exponent is 1111 1111, which in two's complement is -27 (-128)
The smallest positive is 1 x 2 -128
But in Options exponents are given as power of 10. But it should be 2
Ans D