GATE CS 2022 Set 1 — Question 41
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Digital Logic → Number Systems & Arithmetic → IEEE 754 Floating Point
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Question
Consider three floating point numbers , and stored in registers , and , respectively as per IEEE-754 single precision floating point format. The 32-bit content stored in these registers (in hexadecimal form) are as follows.Which one of the following is FALSE?
Correct answer
(B) C = A + B
Solution
We decode the IEEE-754 single precision values (Sign bit , 8-bit Exponent , 23-bit Mantissa ). Value .1. Decode ():
- Binary:
1100 0001 0100 0000 ... - (Negative)
- . Exponent .
- (Binary fraction )
- .
- Binary:
0100 0010 0001 0000 ... - (Positive)
- . Exponent .
- (Binary fraction )
- .
- Binary:
0100 0001 0100 0000 ... - (Positive)
- . Exponent .
- (Binary fraction )
- .
- (A) . TRUE.
- (B) . FALSE.
- (C) . TRUE.
- (D) . TRUE.
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