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Convert the following number to a number in the indicated base. 3788 to base 11

Convert the following number to a number in the indicated base. 3788 to base 11

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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**Converting the Number 3788 to Base 11** This exercise requires converting the decimal number 3788 to its equivalent in base 11. **Instructions:** Given the task of converting 3788 to a number in base 11, follow these steps: 1. Divide the number by 11 and record the quotient and the remainder. 2. Use the remainder as part of the base 11 number. 3. Use the quotient to continue dividing by 11 until the quotient is zero. 4. Write the remainders in reverse order as the base 11 number. **Example:** For illustration purposes, let's partially perform the steps: - 3788 ÷ 11 = 344 (quotient) with a remainder of 4. The remainder becomes the least significant digit (rightmost) in the base 11 representation. - Continue with the quotient: 344 ÷ 11. Complete the steps above iteratively to find the base 11 equivalent of 3788.
Transcribed Image Text:**Converting the Number 3788 to Base 11** This exercise requires converting the decimal number 3788 to its equivalent in base 11. **Instructions:** Given the task of converting 3788 to a number in base 11, follow these steps: 1. Divide the number by 11 and record the quotient and the remainder. 2. Use the remainder as part of the base 11 number. 3. Use the quotient to continue dividing by 11 until the quotient is zero. 4. Write the remainders in reverse order as the base 11 number. **Example:** For illustration purposes, let's partially perform the steps: - 3788 ÷ 11 = 344 (quotient) with a remainder of 4. The remainder becomes the least significant digit (rightmost) in the base 11 representation. - Continue with the quotient: 344 ÷ 11. Complete the steps above iteratively to find the base 11 equivalent of 3788.
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