Engineering Design 2-bit Mod-5 Multiplication/Division Module Using Logic Gates

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The discussion focuses on designing a 2-bit mod-5 multiplication and division module using basic logic gates, with a specific representation for the numbers 0 to 4. Participants emphasize the importance of creating truth tables for the operations and suggest using Karnaugh maps (K-maps) to simplify the logic circuit design. Examples of mod-5 multiplication are provided to illustrate the concept, such as 4 × 2 ≡ 3 (mod 5). There is some confusion regarding the division aspect, but the consensus is to start with truth tables for clarity. Overall, the thread seeks assistance in solving the design problem effectively.
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design the 2-bit mod-5 multiplication/division module using only basic logic gates.

the number 0 is often ignored. Thus, in your design, the following 2-bit number representation is used:
00-->1,
01--> 2,
10-->3 and
11-->4.
examples of mod-5 multiplication:
4 × 2 ≡ 3 (mod 5), 3 × 3 ≡ 4 (mod 5).


Determine the truth tables and logic circuits ?

the block diagram and the whole Q was attached in the file below.

please help me I'm struggling and i dunn how to start solving this problem
:confused:

your help highly appreciated:smile:
 

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Not sure what you mean by mod-5 division, but you can always start out by drawing the truth table for the operation as usual. Then use K-maps just like any other logic circuit.
 

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