Please help meDetermine the value of base b if (152)b = 0x6A. Please show all steps.
Accepted Solution
A:
Answer:The value of b is, 8Step-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 octal8 | 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 = 8Therefore, the value of b is, 8