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[Base conversions of integer values] As mentioned earlier, a systems programmer must be comfortable working with integers in the units which are common to modern computing, i.e., binary (base 2), octal (base 8), decimal (base 10), and hexadecimal (base 16), and this includes being able to convert values from one unit to another-when the numbers are small enough that is. For 64-bit signed integers represented in two's complement, trying to convert an integer represented in binary to decimal without a calculator would be an unpleasant experience. (a) So, let us assume we are architects designing a new 4-bit ISA, where an int will be 4-bits. For this exercise, perform the arithmetic on paper or in your head rather than just reaching for a calculator: you will not learn anything from this exercise doing that. What is INT4_MAX written in binary? (b) Continuing the previous question, What is INT4_C written in binary? (c) Convert the 8-bit signed int 3010 to binary. Express your answer as 8-bits with an underscore separating the two nibbles. (d) Convert the 8-bit signed int 1100_0011 to decimal. (e) Convert the 16-bit unsigned int FC2216 to binary. Express your answer using 16 bits with underscores as separators