National institute of Technology Hamirpur (H.P.)
Electronics & Communication Engineering Department
Course Code: EC–211
Course Name: Digital Electronics & Logic Design
Branch: B.Tech ECE
Assignment-1
Submission Date 14/08/2025
Submission Time 5:30PM
1. Convert last three digits of your class roll number into binary, octal and
hexa–decimal number system.
2. Represent the negative of binary equivalent of your class roll number in three
different forms of representation of negative numbers as well as in floating point
notation.
3. Express the following unsigned decimal numbers in binary, octal, and
hexadecimal:
57.25, 0.2, 125.8
4. Convert the following hexadecimal numbers into decimal, octal:
B9, 12.F6
5. Find out the 8-bit 2’s complement binary representation of the following decimal
numbers:
+125, -57, -128, +255, -1
6. Prove the Following
i) A (B C) = (A B) C
ii) ABAC= A.(BC), workout the same for EXNOR operation
7. If A B= C
Prove that A C=B, BC=A , AB C=0
8. Generate the hamming coded data with odd parity for (101011)2
9. Convert your roll number in to 2421, Excess -3 and Gray code.
10. Perform the binary subtraction using 1’s complement method and 2’s
complement method
41-62, 18-17, 32- 48