GATE CSE 2024 | Set 2 | Question: 39

Question

Which of the following is/are EQUAL to $224$ in radix - $5$ (i.e., base - $5$) notation?

• A. $64$ in radix -10
• B. $100$ in radix -8
• C. $50$ in radix -16
• D. $121$ in radix -7

Answer 1

To check the equivalent between numbers simply convert it into decimal format.

$(224)_5=4*5^0+2*5^1+2*5^2=(64)_{10}$

$(100)_8=0*8^0+0*8^1+1*8^2=(64)_{10}$

$(50)_{16}=0*16^0+5*16^1=(80)_{10}$

$(121)_7=1*7^0+2*7^1+1*7^2=(64)_{10}$

Option $A, B, D$ is correct.