Write each binary number first as an octal number and then as a hexadecimal number. 1111010001_2 ### Converting Binary to Octal and Hexadecimal**Problem Statement:**Write each binary number first as an octal number and then as a hexadecimal number.Binary Number: 11110100012**Solution:****Step 1: Convert Binary to Octal**- Group the binary digits into sets of three, starting from the right. Add extra zeros at the start if the leftmost group has fewer than three digits. 001 111 010 001 - Convert each group of three binary digits to its octal equivalent: - 0012 = 18 - 1112 = 78 - 0102 = 28 - 0012 = 18 - Combine the octal digits to form the final octal number: 17218**Step 2: Convert Binary to Hexadecimal**- Group the binary digits into sets of four, starting from the right. Add extra zeros at the start if the leftmost group has fewer than four digits. 0011 1101 0001 - Convert each group of four binary digits to its hexadecimal equivalent: - 00112 = 316 - 11012 = D16 - 00012 = 116 - Combine the hexadecimal digits to form the final hexadecimal number: 3D116**Summary:**- The octal representation of 11110100012 is 17218.- The hexadecimal representation of 11110100012 is 3D116.

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Description: Write each binary number first as an octal number and then as a hexadecimal number. 1111010001_2 ### Converting Binary to Octal and Hexadecimal**Problem Statement:**Write each binary number first as an octal number and then as a hexadecimal number.Bi

Binary number : The Numbers with the base 2 is called binary numbers. It consists of only two…

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Math

Advanced Math

Write each binary number first as an octal number and then as a hexadecimal number. 11110100012

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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Topic Video

Question

Write each binary number first as an octal number and then as a hexadecimal number.

1111010001_2

### Converting Binary to Octal and Hexadecimal

**Problem Statement:**
Write each binary number first as an octal number and then as a hexadecimal number.

Binary Number: 1111010001<sub>2</sub>

**Solution:**

**Step 1: Convert Binary to Octal**
- Group the binary digits into sets of three, starting from the right. Add extra zeros at the start if the leftmost group has fewer than three digits.

001 111 010 001

- Convert each group of three binary digits to its octal equivalent:
- 001<sub>2</sub> = 1<sub>8</sub>
- 111<sub>2</sub> = 7<sub>8</sub>
- 010<sub>2</sub> = 2<sub>8</sub>
- 001<sub>2</sub> = 1<sub>8</sub>

- Combine the octal digits to form the final octal number:
1721<sub>8</sub>

**Step 2: Convert Binary to Hexadecimal**
- Group the binary digits into sets of four, starting from the right. Add extra zeros at the start if the leftmost group has fewer than four digits.

0011 1101 0001

- Convert each group of four binary digits to its hexadecimal equivalent:
- 0011<sub>2</sub> = 3<sub>16</sub>
- 1101<sub>2</sub> = D<sub>16</sub>
- 0001<sub>2</sub> = 1<sub>16</sub>

- Combine the hexadecimal digits to form the final hexadecimal number:
3D1<sub>16</sub>

**Summary:**
- The octal representation of 1111010001<sub>2</sub> is 1721<sub>8</sub>.
- The hexadecimal representation of 1111010001<sub>2</sub> is 3D1<sub>16</sub>.

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