roblem I. $(16$ marks$)$ Digital Design Basics

Logic one means:

$($a$)$ High voltage associated with false

$($b$)$ High voltage associated with true

In $2\text{'}$s complement, the number $111111111$ represents the decimat ve associated with true

$($a$)+1$

$($b$)+511$

$($c$)-1$

The sum of two octal numbers $768$ and $678$ is equal to:

$($a$)7510$

$($b$)165$ s

$($c$){117}_{16}$

$(245)8$ and $(99)16$ means :

$($d$){11110101}_2$

$($a$){11110101}_2$ and ${01100011}_2$

$($b$){10100101}_2$ and ${10011001}_2$

$($c$){01000101}_2$ and ${10011001}_2$

When we input two values $0$ and $1,$ the following ge $($d$){10100101}_2$ and ${01100011}_2$

$($a$)$ OR gate

$($b$)$ NAND gate

$($c$)$ AND gate

What does $A_{n-1}$ represent in the decimal number system?

$($a$)$ A$\text{'}$s most Significant Digit

$($c$)$ A$\text{'}$s radix Point

$($b$)$ A$\text{'}$s least Significant Digit

$($d$)$ A$\text{'}$s floating Point

The equation for the output, $Y,$ of a $2-$to$-1-$line multiplexer with selector, S $.$

$($a$)Y=S^{\text{'}}{l}_0+S{I}_1$

$($c$)Y=(I_0+I_1)S^{\text{'}}$

$($b$)Y=S(I_0+I_1)$

$($d$)Y=10S^{\text{'}}+1,S^{\text{'}}$

The V output in the overflow detection for signed binary numbers indicates:

$($a$)$ Presence of a carry

$($c$)$ Overflow

$($b$)$ No overflow

$($d$)$ Sign of the result

The storage elements used in the simplest form of clocked sequential circuits are:

$($a$)$ Buffers

$($c$)$ S$-$R Latches

$($b$)$ D flip$-$flops

$($d$)$ Inverters

The mealy sequential machine output depends on

$($a$)$ current state and inputs

$($c$)$ next state and inputs

$($b$)$ current state

$($d$)$ next state

$\backslash$table$[[$Question$,1,2,3,4,5,6,7,8,9,10],[$Answer$,,,,,,,,,,]]$

$1\mathrm{.}2(3$ marks$)$ How many ways you can choose $10$ elements from the $16$ binary numbers of $4$ bits?

$1\mathrm{.}3(3$ marks$)$ What are the types of digital systems?