Fig. 1 shows two binary quantities used by a drone controller. The controller adds them to calculate the combined number of image files held in a memory buf...
Question 1 Report
Fig. 1 shows two binary quantities used by a drone controller. The controller adds them to calculate the combined number of image files held in a memory buffer. The box is limited to 8 bits.
(a) Give the full binary result of the addition. [2]
(b) State whether an overflow occurs in the 8-bit box. [1]
Answer Details
- Add the binary quantities:
\[11110010_2+00101101_2=100011111_2\]
The full result has nine bits. [2] - Overflow occurs because a ninth bit is produced, so the result cannot fit in an 8-bit unsigned register. Equivalently, the total is greater than 255, the largest unsigned 8-bit value. [1]
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