Question

The binary pattern 01000001 represents the number 65. Write a brief response explaining whether you believe this statement is always true. Explain your reasoning.

Answer 1

Answer:

TRUE

Step-by-step explanation:

The given binary expression is 01000001.

We convert to a decimal numeral to see if is actually 65.

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

Note that any number multiplied by zero is still 0.

This implies that:

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

$01000001_2=64+1$

$01000001_2=65$

Therefore the given binary pattern represents the number 65.