Highlights
Chapter 1: Binary Systems Q no1: Convert the decimal number 250.5 to base 3, base 4, base 7, base 8, and base 16.
Q no 2: Convert the following numbers from the given base to the bases indicated:
(a) decimal 225.225 to binary, octal, and hexadecimal
(b) binary 11010111.110 to decimal, octal, and hexadecimal
(c) octal 623.77 to decimal, binary, and hexadecimal
(d) hexadecimal 2AC5.D to decimal, octal, and binary
Q no 3: Find the r’s and r-1’s complements of (7935)11
Q no 4: Perform the subtraction with the following decimal numbers using (1) 10’s complement and (2) 9’s complement. Check the answer by straight subtraction.
(a) 5250 - 321 (b) 753 - 864
(c) 3570 - 2100 (d) 20 - 1000
Q no 5: Perform the subtraction with the following binary numbers using (1) 2’s complement and (2) l’s complement. Check the answer by straight subtraction.
(a) 11010- 1101 (c) 10010- 10011
(b) 11010-10000 (d) 100 - 110000
Q no 6: For the weighted codes (a) 3, 3, 2, 1 and (b) 4, 4, 3, - 2 for the decimal digits, determine all possible tables so that the 9’s complement of each decimal digit is obtained by changing l’s to 0’s and 0’s to l’s. no 3:
Q no 7: Represent the decimal number 8620 (a) in BCD, (b) in excess-3 code, (c) in 2, 4, 2, 1 code, and (d)as a binary number.
Q no 8: A binary code uses ten bits to represent each of the ten decimal digits. Each digit is assigned a code of nine 0’s and a 1. The code for digit 6, for example, is 0001000000, Determine the binary code for the remaining decimal digits.
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