Computer Architecture: Answer below 10 points Sav QUESTION 6 A single precision

Question

Computer Architecture: Answer below

10 points Sav QUESTION 6 A single precision floating point number with exponent "1111 1110" represents the actual exponent of O254 O 255 127 O 126 10 points Sav QUE STION 7 tern" " (Hint: provide the binary number) A single precision floating-point number with an actual exponent of -1 is represented by the bit pattern 15 points Sav QUESTION 8 Match the Floating Point components to the bits for a double precision number Bit [63] Bits (62-52 Bits [51- 00] A. Fraction B. Sign bit CExponent

Explanation / Answer

Question 6

1111 1110 = 27 + 26 + 25 + 24 + 23 + 22 + 21 = 128+64+32+16+8+4+2 = 254

Question 7

-1 needs to be represented with 8 bits

add bias 127 to -1 = 126 = 01111110 in binary 8 bits

Question 8

Bit[63] --------- Sign bit

Bits[62-52] ----- Exponent

Bits[51-00] -------- Fraction

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