Represent $(AB{)}_{16}$ in ba$.$e$-2,$ ase$-8,$ and base$-10.$

Question $3.[10$ marks $]$

Express the number $-1_{10}$ in

a$)$ Signed binary, assuming the representation consists of $4$ bits

b$)1\text{'}$s$-$complement form, assuming the representation consists of $8$ bits.

c$)2\text{'}$s$-$complement form, assuming the representation consists of $16$ bits.

Express the number ${5678}_{10}$ in both $9\text{'}$s$-$complement and $10\text{'}$s$-$complement integer form.

Question $4.[10$ marks $]$

Convert the number $4CG{4}_{19}($base$-19)$ to its equivalent value in base$-10,$ and also in base$-13.$ The digits in

base$-19$ extend from $0$ to $9,$ then use A$,$ B$,$ C$,$ D$,$ E$,$ F$,$ G$,$ H and I.

Express the minimum $($most negative$)$ and maximum $($most positive$)$ values of a $8$ bit $2\text{'}$s$-$complement integer

representation. Provide both the binary strings and their signed decimal $($base$-10,$ with sign $\frac{+}{?}-)$ equivalent

values.

Question $5.[10$ marks $]$

Express the number $(1{)}_{10}$ to $(15{)}_{10}$ in $BCD.$

Perform BCD addition and verify using decimal integer $($Base$-10)$ addition:

a$)10010100+01100111$

b$)10011000+00010010$