Convert the following unsigned decimal numbers into binary of mentioned bits

a$.(2$ points$)(1001)10*10$ bits

b$.(2$ points$)(0\mathrm{.}777{)}_{10}$:$5$ post binary bit point bits

$(4$ points$)$ Convert the following unsigned binary number into decimal: $(11101101010\mathrm{.}1001{)}_2$

$(2$ points$)$ Consider a decimal number $(77774)10$ in the unsigned domain. How many bits, at the minimum, are required to represent this decimal number? Justify your answer by mentioning the range of decimal numbers that can be represented by your answer.

Decimal grade$-$school arithmetic, but binary system understanding:

Consider a simple arithmetic sum: $(95{)}_{10}+(126{)}_{10}+(254{)}_{10}$

a$.(1$ point extra credit$)$ How many bits at the minimum are required to represent $(95)10?$ Justify your answer by mentioning the range of decimal numbers that can be represented by your answer.

b$.(1$ point extra credit$)$ How many bits at the minimum are required to represent $(126)10?$ Justify your answer by mentioning the range of decimal numbers that can be represented by your answer.

c$.(1$ point extra credit$)$ How many bits at the minimum are required to represent $(254)10?$ Justify your answer by mentioning the range of decimal numbers that can be represented by your answer.

$(1$ point extra credit$)$ How many bits at the minimum are required to represent $(95{)}_{10}+(126{)}_{10}+(254{)}_{10}?$ Justify your answer by mentioning the range of decimal numbers that can be represented by your answer.

NOTE: You are not asked to perform binary arithmetic here!