GATE Computer Science (CS) 2020 Solved Papers

IEEE-754 single precision floating point formatR1 : 0 × 42200000 ⇒ 01000 0010 0010 0000 0000 0000 …
R1 : 0 × C1200000 ⇒ 1100 0001 0010 0000 0000 …Need to perform $\mathit{R}3=\frac{\mathit{R}1}{\mathit{R}2}$
1. Actual exponent $=\mathit{R}1$ exponent $-\mathit{R}2$ exponent
$10000100$
$\mathrm{1}0000010$
$\mathit{─}\mathit{─}\mathit{─}\mathit{─}\mathit{─}\mathit{─}\mathit{─}$
AE: $00000010$
In IEEE-754, Bias $=2^{\mathit{n}-1}-1=2^{8-1}-1=127$
Bias $=01111111$
BE=AE+Bias
AE:0000 0010
Bias: 01111111
----------------------------------
BE :1000 0001
2. Divide the Mantissa of R1 by R2.
3. Sign of divisor and dividend is opposite,
∴ Result sign = –ve. (1)∴ R3 = C0800000