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 bits are for the exponent, and the final 4 bits are for the mantissa. The number that (1000101102 represents in the above given 9-bit format is QUESTION 1 po 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; 3 bits for mantissa, and the rest of the bits for the exponent? (Keep 5 decimal places) QUESTION 6 1 poi A machine stores floating point number in a (1+1+3+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 3 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

Question 4: The number is 100010110 The repesentation they have asked is (1+1+3+4) so by the first bit the sign of the number is negative(in most cases sign of 1 means a negative sign and 0 positive sign), the sign of exponent is positive. The exponent is 001 which means 1 and the mantissa is 0110 which means 6. So the number is 6.0x10^1.

Question 5: The smallest number one can arrange in this configuration is 1 (because 0 is not a positive number) which in (1+1+2+3) configuration is (0000001)2 which has the value of 1.00000x10^0.

Question 6: The largest number is all 1s apart from the sign bits which is (001111111)2 which gives the number 15.000000x10^7

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