Assignment I and II
DIGITAL TECHNIQUES
Unit I: Number Systems
Assignment – I
Topics Covered:
Number Systems • Number System Conversions • Binary Arithmetic • 1's & 2's Complement • BCD • Gray Code • Excess-3 • ASCII • BCD Arithmetic
Instructions to Students
Solve all questions.
Show all necessary steps in numerical problems.
Write answers neatly and systematically.
Use proper number-system notation.
These questions are selected from previous-year MSBTE question papers.
Mention the method used wherever applicable.
Q.1 — Number System Conversion
Reference: W2025 – Paper Code 313303
Convert the following number systems with proper steps:
a) (4F)₁₆ = (?)₂ = (?)₈
b) (A72E)₁₆ = (?)₂ = (?)₈
Q.2 — BCD Addition
Reference: W2025 – Paper Code 313303
Perform BCD addition on the following decimal numbers:
a) (3485)₁₀ + (1357)₁₀ = ( )BCD
b) (485)₁₀ + (326)₁₀ = ( )BCD
Q.3 — Subtraction Using 2's Complement
Reference: W2024 – Paper Code 313303
Perform the following subtraction using the 2's complement method:
(85)₁₀ − (98)₁₀
Show all steps clearly.
Q.4 — Number System and Code Conversion
Reference: W2024 – Paper Code 313303
Perform the following conversions:
a) (A26.48)₁₆ → (?)₁₀
b) (172.95)₁₀ → (?)₈
c) (0101 0011)BCD → (?)₂
Show the complete conversion procedure.
Q.5 — Mixed Number System Conversion
Reference: S2025 – Paper Code 313303
Convert the following:
a) (429)₁₀ = (?)BCD
b) (2.45)₁₀ = (?)₂
c) (AF)₁₆ = (?)₈
d) (1011010)₂ = (?)₁₆
Assignment – II
Q.6 — Number System Conversion
Reference: S2025 – Paper Code 313303
Convert the following:
a) (5C7)₁₆ = (?)₁₀
b) (2598)₁₀ = (?)₁₆
c) (10110)₂ = (?)₁₀ = (?)₁₆
Q.7 — Binary to Multiple Number Systems and Gray Code
Reference: W2023 – Paper Code 22320
Convert the following binary number into:
Decimal
Octal
Hexadecimal
Gray Code
(10110101)₂
Show the conversion steps for each.
Q.8 — Subtraction Using 2's Complement
Reference: S2024 – Paper Code 22320
Perform the following subtractions using the 2's complement method:
a) (1100)₂ − (0011)₂
b) (10101)₂ − (11100)₂
Show all steps clearly.
Q.9 — BCD Arithmetic
Reference: W2023 – Paper Code 22320
a) State the rules of BCD addition.
b) Perform BCD addition of:
(972)₁₀ + (348)₁₀
Show all necessary steps.
Q.10 — Code Conversion
Reference: W2023 – Paper Code 22320
Convert the following:
a) (53)₁₀ = (?)BCD
b) (34)₁₀ = (?)Excess-3
c) (100111)₂ = (?)Gray
d) (11010)₂ = (?)2's Complement
Show the conversion steps for each.
Q.1 — Number System Conversion
Reference: W2025 – Paper Code 313303
Convert the following number systems with proper steps:
a) (4F)₁₆ = (?)₂ = (?)₈
b) (A72E)₁₆ = (?)₂ = (?)₈
Q.2 — BCD Addition
Reference: W2025 – Paper Code 313303
Perform BCD addition on the following decimal numbers:
a) (3485)₁₀ + (1357)₁₀ = ( )BCD
b) (485)₁₀ + (326)₁₀ = ( )BCD
Q.3 — Subtraction Using 2's Complement
Reference: W2024 – Paper Code 313303
Perform the following subtraction using the 2's complement method:
(85)₁₀ − (98)₁₀
Show all steps clearly.
Q.4 — Number System and Code Conversion
Reference: W2024 – Paper Code 313303
Perform the following conversions:
a) (A26.48)₁₆ → (?)₁₀
b) (172.95)₁₀ → (?)₈
c) (0101 0011)BCD → (?)₂
Show the complete conversion procedure.
Q.5 — Mixed Number System Conversion
Reference: S2025 – Paper Code 313303
Convert the following:
a) (429)₁₀ = (?)BCD
b) (2.45)₁₀ = (?)₂
c) (AF)₁₆ = (?)₈
d) (1011010)₂ = (?)₁₆
Assignment – II
Q.6 — Number System Conversion
Reference: S2025 – Paper Code 313303
Convert the following:
a) (5C7)₁₆ = (?)₁₀
b) (2598)₁₀ = (?)₁₆
c) (10110)₂ = (?)₁₀ = (?)₁₆
Q.7 — Binary to Multiple Number Systems and Gray Code
Reference: W2023 – Paper Code 22320
Convert the following binary number into:
Decimal
Octal
Hexadecimal
Gray Code
(10110101)₂
Show the conversion steps for each.
Q.8 — Subtraction Using 2's Complement
Reference: S2024 – Paper Code 22320
Perform the following subtractions using the 2's complement method:
a) (1100)₂ − (0011)₂
b) (10101)₂ − (11100)₂
Show all steps clearly.
Q.9 — BCD Arithmetic
Reference: W2023 – Paper Code 22320
a) State the rules of BCD addition.
b) Perform BCD addition of:
(972)₁₀ + (348)₁₀
Show all necessary steps.
Q.10 — Code Conversion
Reference: W2023 – Paper Code 22320
Convert the following:
a) (53)₁₀ = (?)BCD
b) (34)₁₀ = (?)Excess-3
c) (100111)₂ = (?)Gray
d) (11010)₂ = (?)2's Complement
Show the conversion steps for each.
