PYQs Based test 21: Digital Electronics

A $10\frac{1}{2}$ digit Counter-timer is set in the ‘frequency mode’ of operation (with Tₛ = 1 s). For a specific input, the reading obtained is 1000. Without disconnecting this input, the Counter-timer is changed to operate in the ‘Period mode’ and the range selected is microseconds (μs, with fₛ= 1 MHz). The counter will then display

The number of bytes required to represent the decimal number 1856357 in packed BCD (Binary Coded Decimal) form is ________.

The Boolean expression $\left(x+y\right)\left(x+\bar{y}\right)+\overline{\left(x\bar{y}\right)+\bar{x}}$ simplifies to

The representation of the decimal number (27.625)₁₀ in base-2 number system is

The total number of Boolean functions with distinct truth-tables that can be defined over 3 Boolean variables is _________.