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jek_recluse
2 months ago
4

The binary pattern 01000001 represents the number 65. Write a brief response explaining whether you believe this statement is al

ways true. Explain your reasoning.
Mathematics
1 answer:
babunello [11.8K]2 months ago
6 0

Answer:

TRUE

Step-by-step explanation:

The binary sequence presented is 01000001.

Converting this to decimal verifies that it corresponds to 65.

01000001_2=0*2^7+1*2^6+0*2^5+0*2^4+0*2^3+0*2^2+0*2^1+1*2^0

Multiplying by zero yields zero, so those bits do not contribute to the total.

This calculation shows:

01000001_2=0+1*64+0+0+0+0+0+1*1

01000001_2=64+1

01000001_2=65

Hence, the binary code indeed represents the number 65.

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