# vlsi interview questions-10

1. List the binary, octal, and hexadecimal numbers from 16 to 31.
2. What is the exact number of bits in a memory that contains (a) 48K bits; (b) 256M bits; (c) 8G bits?
3. What is the decimal equivalent of the largest binary integer that can be obtained with (a) 8 bits and (b) 32
bits?
4. Convert the following binary numbers to decimal (a) 11010012; (b) 100010112; (c) 100110102.
You must show your work!
5. Convert the following decimal numbers to binary (a) 1776; (b) 1812; (c) 1969; (d) 2000.
You must show your work!
6. Each of the following five numbers has a different base. Convert each to decimal. Which of the five
numbers have the same value in decimal? (a) (12011)3 (b) (3312)4 (c) (2022)5 (d) (2A7)11 (e) (19A)12.
You must show your work!
7. Convert the following numbers from the given base to the other three bases listed in the table.
You must show your work!
8. Add the following numbers without converting to decimal. You must show your work!
(a) (371)8 and (256)8 (b) (2EC)16 and (7B)16 (c) (110011)2 and (101011)2
9. Write your full name in ASCII, using 8-bit codes where
(a) the most-significant bit (MSB) is always 0;
(b) where the MSB is selected (either 0 or 1) to produce even parity for the 8 bits.
In both (a) and (b), include a space (0010 0000) between names and a period (0010 1110) after your middle
initial.
10. Decode the following ASCII code: 1001010 1101111 1101000 1101110 0100000 1000100 1101111
1100101.
11. Show the bit configuration that represents the decimal number 365 in (a) binary, (b) BCD, (c) ASCII.
12. A computer represents information in groups of 48 bits. What is the largest integer that can be represented
in (a) binary, (b) BCD, and (c) 8-bit ASCII — using all 48-bits?

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