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

Question

2 months ago

4

ways true. Explain your reasoning.

1 answer:

babunello [11.8K] · Answer 1 · 2026-02-16T14:35:54+03:00

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.