Unsigned Conversion Fun!
How can we convert 10100111012 to base ten?
Choose one: 1. Multiply each digit by its corresponding power of 2. 2. Divide the number by 2 repeatedly. 3. Convert each hexadecimal digit to its 4-bit binary representation.
How do we convert 22810 to unsigned binary?
Choose one: 1. Multiply each digit by its corresponding power of 2. 2. Divide the number by 2 repeatedly. 3. Convert each hexadecimal digit to its 4-bit binary representation.
What is the process to convert C0DE16 to unsigned binary?
Choose one: 1. Multiply each digit by its corresponding power of 2. 2. Divide the number by 2 repeatedly. 3. Convert each hexadecimal digit to its 4-bit binary representation.
Answers:
1. To convert 10100111012 to base ten, we start from the right and assign powers of 2 to each digit. Starting with the rightmost digit, we have 2° = 1. Moving to the left, the next digit has 2¹ = 2, the next has 2² = 4, and so on. Multiplying each digit by its corresponding power of 2 and summing the results, we get 4 + 8 + 32 + 128 + 256 = 334.
2. To convert 22810 to unsigned binary, we divide the number by 2 repeatedly until we reach 0. The remainders, starting from the bottom, give us the binary representation. In this case, the remainders are 0, 0, 1, 1, 1, 0, 0. Reversing the order gives us 111001002.
3. To convert C0DE16 to unsigned binary, we convert each hexadecimal digit to its corresponding 4-bit binary representation. C is 1100, 0 is 0000, D is 1101, and E is 1110. Combining these binary representations, we get 11000000110111102.
Unsigned conversions can be quite a fun exercise in mathematics and logic. Let's delve into each of the conversions mentioned above in more detail:
10100111012 to base ten
In this conversion, we focus on the binary number 10100111012. Starting from the right, we assign powers of 2 to each digit, increasing from right to left. By multiplying each digit by its corresponding power of 2 and summing the results, we can easily convert the binary number to base ten, which in this case is 334.
22810 to unsigned binary
For this conversion, we repeatedly divide the decimal number 228 by 2 until we reach 0. The remainders obtained from these divisions, when read from bottom to top, give us the unsigned binary representation of 111001002.
C0DE16 to unsigned binary
Converting a hexadecimal number like C0DE16 to unsigned binary involves converting each hexadecimal digit to its 4-bit binary equivalent. By doing so for each digit and combining the results, we arrive at the unsigned binary representation of 11000000110111102.
Unsigned binary conversions provide a great opportunity to sharpen our skills in binary arithmetic and conversion techniques. Each conversion offers a unique challenge and allows us to explore the intricacies of number systems.