Medium
EST. TIME: 45 minHalf Subtractor and Full Subtractor
To design and verify the truth table of Half Subtractor and Full Subtractor using 74xx family ICs.
Theory
Subtractors are used for binary subtraction.
Half Subtractor
Subtracts two bits. Outputs: Difference (D) and Borrow (Bo).
D = A ⊕ B, Bo = A' • B
Full Subtractor
Subtracts three bits (A, B, Bin). Outputs: Difference (D) and Borrow (Bout).
D = A ⊕ B ⊕ Bin
Procedure
- Half Subtractor: Connect inputs to XOR (Diff) and NOT+AND (Borrow).
- Full Subtractor: Implement using two Half Subtractors and an OR gate.
- Verify the truth table by toggling inputs.