Convert each base ten numeral to a numeral in the given base. 1.87 to base two 2.1346 to base eight

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Convert Each Base Ten Numeral to a Numeral in the Given Base**

1. Convert 87 to base two.
2. Convert 1346 to base eight.

### Explanation

To convert a base ten numeral to another base:

1. **Base Two (Binary) Conversion:**
   - Divide the number (87) by 2.
   - Write down the remainder.
   - Use the quotient for the next division.
   - Continue until the quotient is zero.
   - The binary number is read from bottom to top of the remainders.

2. **Base Eight (Octal) Conversion:**
   - Divide the number (1346) by 8.
   - Write down the remainder.
   - Use the quotient for the next division.
   - Continue until the quotient is zero.
   - The octal number is read from bottom to top of the remainders.
Transcribed Image Text:**Convert Each Base Ten Numeral to a Numeral in the Given Base** 1. Convert 87 to base two. 2. Convert 1346 to base eight. ### Explanation To convert a base ten numeral to another base: 1. **Base Two (Binary) Conversion:** - Divide the number (87) by 2. - Write down the remainder. - Use the quotient for the next division. - Continue until the quotient is zero. - The binary number is read from bottom to top of the remainders. 2. **Base Eight (Octal) Conversion:** - Divide the number (1346) by 8. - Write down the remainder. - Use the quotient for the next division. - Continue until the quotient is zero. - The octal number is read from bottom to top of the remainders.
Expert Solution
Step 1

1. Convert base ten numeral 87 to base two as follows.

Advanced Math homework question answer, step 1, image 1

Base 2 numeral is obtained as follows.

87=10101112

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