Drill Problems $1$

Convert ${5238}_{16}$ into the following number system:

a$.$ Decimal Answer

b$.$ Senary Answer :

c$.$ Quartuodenary Answer: $q,$

d$.$ Octal Answer :

e$.$ Binary Answer :

Fill the table below:

$\backslash$table$[[$TERNARY$,$QUINARY,NONARY,TREDENARY$],[210,,,],[,341,8421,],[,,,$AB$67]]$

Perform the following arithmetic operations.

a$.$ Divide ${11010110}_2$ by ${10}_{2}Q=q,$ r $=$

b$.$ Multiply $2D_{16}$ by $8_{16}P=q,$

c$.$ Subtract the ${11110011}_2$ from ${01111010}_{2}D=q,2$

d$.$ Subtract ${57}_{16}$ from $F{A}_{16}D=q,2$

e$.$ Add $278$ and ${36}_{8}S=q,8$

f$.$ Add ${10101110}_2$ and ${11101100}_2$ S

Determine the $r\text{'}$s and $(r-1)\text{'}$s complement of the following numbers:

a$.{2345}_{10}$

b$.{10110101}_2$

c$.{456}_8$

d$.AC{2}_{16}$

Perform the following arithmetic operations:

a$.$ Subtract the unsigned number ${11110011}_2$ from ${01011011}_2$ using $(r-1)\text{'}$s complement.

$D=$

b$.$ Subtract ${47}_8$ from ${63}_8$ using $r^{\text{'}}\text{'}$s complement.

$D=$

c$.$ Subtract ${3459}_{10}$ from ${7834}_{10}$ using $)\text{'}$s complement.

$D=$ o

d$.$ Subtract the unsigned number ${01110011}_2$ from ${11111010}_2$ using $r\text{'}$s complement.

$D=$

e$.$ Using $15\text{'}$s complement, subtract $(5C{)}_{16}$trom$(E7{)}_{16}.$

$D=6$

f$.$ Using $7\text{'}$s complement, subtract $(63{)}_8$ trom $(42{)}_8.$

$D=$

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