Questions for Practice 2

Question for Practice

  • Convert the following numbers according to the instructions given.
    a. (240)${10}$ into octal number.
    b. (ABC)$    {16}$ into binary number.
    c. (1101)$2$ into decimal number.
    d. (637)$    {10}$ into hexadecimal number.
    e. (105.6)$_{10}$ into binary number.
    f. (111111)$_2$ into base 8.

  • Subtract using 1’s and 2’s complement method.
    a. subtract (1100)$_2$ from (1111)$_2$.
    b. subtract (10001)$_2$ from (11011)$_2$.
    c. subtract (101110)$_2$ from (111101)$_2$.

  • Why is NAND and NOR gate is known as a universal gate? Explain.

  • What is logic gate? Explain different gates with their graphical symbol, truth table, and venn diagram.

  • Prove de-morgan’s theorem.

  • Simplify the following expression using Boolean algebra:
    a. AC’ + BC’ + A’C’ + B’C’
    b. C (B + C) (A + B + C)
    c. AB’C + A’B’C + AB’C’ + A’B’C'