Answer:
The value of b is, 8
Step-by-step explanation:
To determine the value of b:
Given:
[tex](152)_b = 0x6A[/tex] ....[1]
Since, 0x6A represents the hexadecimal form.
To convert this hexadecimal form into decimal form:
[tex](6A)_{16}= (6 \times 16^1)+(A \times 16^0)=(6 \times 16)+(10 \times 1) =96+10 = 106[/tex]
⇒[tex]0x6A=106[/tex](decimal form)
Now we have to convert this decimal form into octal
8 | 106
8 | 13 | 2
| 1 | 5
1
Then, the octal form we get, [tex](152)_8[/tex]
Substitute this in [1] we have;
[tex](152)_b = (152)_8[/tex]
On comparing both sides we have;
b = 8
Therefore, the value of b is, 8
