QUESTION 4 A machine stores floating point number in a 9-bit word. The first bit

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QUESTION 4 A machine stores floating point number in a 9-bit word. The first bit is for the sign of the number, the second bit is for the sign of the exponent, the next 3 bits are for the exponent, and the final 4 bits are for the mantissa. The number that (010100000)z represents in the above given 9-bit format is QUESTION 5 What is the smallest positive number that can be stored using 7 bits, where the 1st bit is used for the sign of the number; the 2nd bit for sign of the exponent 2 bits for mantissa, and the rest QUESTION 6 A machine stores floating point number in a (1 1+2+ 4)-bit word. The first bit is for the sign of the number, the second bit is for the sign of the exponent, the next 2 bits are for the exponent, and the final 4 bits are for the mantissa. The largest positive number that can be represented is (Keep 4 decimal places.)

Explanation / Answer

Q4

Sign bit is 0 hence positive number and exponent is negative and 2 is the value of exponent and mantissa is 0

Hence the number is 1*2^(-2)=0.25

Q5

The smallest number is 1*2^(-3) = 0.125

Q6

largest possible number is 00111111=1.9375 *2^3=15.5

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