Question

The binary string 01000110001000 is a floating-point number expressed using the 14-bit simple model given in your text. (There are no implied bits.) What is its decimal equivalent?

Answer 1

Answer:

The decimal equivalent of the number is 8976.

Step-by-step explanation:

In the given binary string, there is a one in the 4, 8, 9 and 13th place (when counted from 0 starting from the unit place).

In which places of the given number, there are 0, the resultants of those places will be 0.

Hence, the number will be $2^4 + 2^8 + 2^9 + 2^{13} = 8976$.