GATE IN 2011 Question Paper (13-Feb-2011) (Shift-2)

For the Boolean expression $f=\overline{a}\overline{b}\overline{c}+\overline{a}b\overline{c}+a\overline{b}\overline{c}+abc+ab\overline{c}$, the minimized Product of Sum (POS) expression is

The base of the number system for the addition operation $24+14=41$ to be true is

An $8K\times 8$ bit RAM is interfaced to an 8085 microprocessor. In a fully decoded scheme if the address of the last memory location of this RAM is 4FFFH, the address of the first memory location of the RAM will be

The Treadmill Test is used to diagnose

The characteristics of a thermometer measuring ambient temperature is $2\frac{d{T}_i}{dt}+T_i-T_a=0$, where $T_i$ and $T_a$ are the indicated and ambient temperatures, respectively, both in ${}^{\circ }C$, and time is in seconds. The -3 dB cut-off frequency in the frequency response of the thermometer is