octal number 755 is equivalent to (7ast 8^2)+(5ast 8^1)+(5ast 8^0) in base 10, which is 493. 7. Each place value represents a power of 8.For 4 Hexadecimal (Base 16): In the hexadecimal system, we use sixteen digits: 0-9 and A-F (where A=10,B=11,C=12,D=13,E=14, and F=15) Each place value represents a power of 16 For example, the hexadecima number 143 is equivalent to (1+16^2)+(10 -16^1)+(3ast 16^0) in base 10, which is 419. Let's now consider two numeral systems, Bases b and c. Assume that b and care integers greater than 5.We are given that in Base b. c^2 is written as 10. How should the number b^2 be written in Base c? 1000 10100 1010 10000

To solve this problem, we need to understand how to convert numbers between different bases. Let's break down the problem step by step.<br /><br />We are given that in Base b, \(c^2\) is written as 10. This means:<br />\[ c^2 = 10 \text{ in Base b} \]<br /><br />We need to find how \(b^2\) should be written in Base c.<br /><br />First, let's express \(b^2\) in terms of Base c. We know that:<br />\[ c^2 = 10 \text{ in Base b} \]<br /><br />This implies:<br />\[ c^2 = b^2 \]<br /><br />So, \(c\) is equal to \(b\). Therefore, \(b = c\).<br /><br />Now, we need to express \(b^2\) (which is \(c^2\)) in Base c. Since \(c^2\) is represented as 10 in Base b, and we have established that \(b = c\), we can directly use this information.<br /><br />In Base c, \(c^2\) is represented as 10. Therefore, \(b^2\) (which is \(c^2\)) will also be represented as 10 in Base c.<br /><br />Thus, the correct answer is:<br />\[ \boxed{10} \]