Which one of the given options is the correct sequence of outputs to complete the truth...
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Which one of the given options is the correct sequence of outputs to complete the truth table if A and B are inputs for an EX-OR gate?
| A | B | Output |
|---|---|---|
| 0 | 0 | ? |
| 0 | 1 | ? |
| 1 | 0 | 1 |
| 1 | 1 | 0 |
Show answer & explanation
Answer: B. 01
An EX-OR (exclusive OR) gate outputs 1 when inputs are different and 0 when inputs are the same. For A=0, B=0 (same), output is 0. For A=0, B=1 (different), output is 1. This matches the given rows: A=1, B=0 gives 1 (different), and A=1, B=1 gives 0 (same). The complete sequence is 0, 1, filling the missing first two rows as "01".
Step-by-step Derivation:
EX-OR truth table logic:
- Row 1: A=0, B=0 → inputs are identical → output = 0
- Row 2: A=0, B=1 → inputs are different → output = 1
- Row 3: A=1, B=0 → inputs are different → output = 1 ✓ (matches given)
- Row 4: A=1, B=1 → inputs are identical → output = 0 ✓ (matches given)
Sequence of first two outputs: 0 then 1 = "01"