What is the one byte binary code representation for the Arabic number 8?
1. 1000
2. 00001000
3. 2222
4. 11111111
2
Rationale: Binary code is a series of 1s and 0s called bits, and one byte contains 8 bits. The binary system is positional with each position's value increasing by the power of 2.
The right most position value is 20 or 1 and continuing to the left the values would be 21 = 2, 22 = 4, 23 = 8 and so on. The Arabic number represented is the sum of the powers of 2 represented by the 0s and 1s. The sum of the powers of binary 00001000 is 0 + 0 + 0 + 0 + 8 + 0 + 0 + 0 = 8, so the correct choice for representing the Arabic number 8 is the binary code 00001000. The binary code 1000 represents the Arabic number 8 but is not a byte.
(Reference: textbook Figure 2-3 [Internal view of a PC] will show some items that may be inside a computer cabinet.)
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