Numbers

a$)$ Convert unsigned ${11010111}_2$ to decimal.

b$)$ Convert ${59}_{10}$ to binary.

c$)$ Convert $-{47}_{10}$ to binary using two's complement.

d$)$ Convert signed ${11011011}_2$ to decimal. Use two's complement.

e$){11011110}_2+{01001101}_2=$

f$){11100010}_2-{10110101}_2=$

g$)$ Do ${72}_{10}-{63}_{n6}.$ Use ten's complement.

More Numbers, Codes, Logic, Circuits

a$)$ Convert ${84}_{10}$ to hexadecimal

b$)$ Convert $C3F$ ts to decimal.

c$)93D_{16}+E_7{A}_{15}=$

d$)$ Represent decimal numbers $78$ and $15$ as packed BCD$5,$ and add them obtaining the result in the same format.

$\frac{1}{2}$

CSC$215--0900$ Spring $2024$ Assignments

e$)$ Write $6_{10}$ in Gray code.

f$)$ Write Computer Architecture in ASCII using hexadecimal codes.

g$)$ Construct an even parity error detecting code for Wow! using the method presented. Can this method detect $2$ errors?

h$)$ Write the truth table for the following: $A+B*C\text{'}$

i$)$ Draw a circuit for $C+B^{\text{'}}{D}^{\text{'}}+A^{**}{C}^{**}{E}^{\text{'}}$

Boolean Algebra

a$)$ Use a truth table to demonstrate the validity of $x+y{z}^{-\text{'}}(x+y)(x+z)$

b$)$ Simplify to a minimum number of literals $xyz+x^{\text{'}}y+xy{z}^{\text{'}}$

c$)$ Simplify to a minimum number of literals $(x+y{)}^{\text{'}}(x^{\text{'}}+y^{\text{'}})$

d$)$ Reduce the following to $3$ literals $(x^2{y}^{\text{'}}+z{)}^{\text{'}}+z+xy+wz$

e$)$ Draw the original circuit for part $c.$