93rd 2022 2. (a) Give a comparative discussion on decimal and hexadecimal number systems. What stands for ASCII, BCD and EBCDIC codes? 2. (b) Convert the following numbers (i) (846) decimal to hexadecimal (ii) (7C.B4) hexadecimal to octal (iii) (735) octal to binary.

2 (a): The decimal numeral system has ten as its base. It is the numerical base most widely used by modern civilizations.

Decimal=base ten. Every digit is a 0, 1, 2, 3, 4, 5, 6, 7, 8, 9.

The hexadecimal number system contains 16 unique numerals.  Since there are only 10 Arabic numerals in the decimal system, we need to use other symbols to represent the remaining 6 numerals. We use the alphabetic

characters A–F in order to expand the system to 16 numerals. The 16 numerals in the hexadecimal system are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, and F

ASCII: American Standard Code For Information Interchange

BCD: Binary Coded Decimal 

EBCDIC: Extended Binary-Coded Decimal Interchange Code

2 (b):