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Gray code, (11101)Gray to binary, FFH AND CAH
Short answer
Gray code is an unweighted code where successive values differ in only one bit. (11101)Gray = (10110) binary (22 decimal). Bitwise AND of (FF)H and (CA)H is (CA)H (11001010, decimal 202).
Define Gray Code and convert (11101)Gray code to binary. When (FF)H is ANDed with (CA)H what will be the resulting number.
Gray code
Gray code is an unweighted, cyclic (reflected binary) code in which two successive numbers differ in only one bit. Example: 0 → 000, 1 → 001, 2 → 011, 3 → 010, 4 → 110. Because only one bit changes at a time, it avoids false outputs during transitions and is used in shaft encoders and K-map labelling.
(11101) Gray to binary
Rule: , then .
| Gray bit | Operation | Binary bit |
|---|---|---|
| 1 | copy | 1 |
| 1 | 0 | |
| 1 | 1 | |
| 0 | 1 | |
| 1 | 0 |
Answer:
(FF)H AND (CA)H
AND is done bit by bit:
FFH = 1111 1111
CAH = 1100 1010
AND = 1100 1010
ANDing any bit with 1 leaves it unchanged, so FFH acts as a mask that passes the other number.
Answer:
✓ Answer checked by Claude Opus 5.5 (high effort)
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