Write each binary number first as an octal number and then as a hexadecimal number.1011100011_2 ### Binary to Octal and Hexadecimal Conversion**Problem Statement:** Convert the given binary number into both octal and hexadecimal formats.**Binary Number:**\[ 1011100011_2 \]**Steps for Conversion:**1. **Binary to Octal:** - Split the binary number into groups of three digits starting from the right. - Convert each group of three binary digits into its octal equivalent. Example Conversion: - Binary: 1011100011 - Split into groups of three: (001)(011)(100)(011) - Convert each group: - $001_2$ = $1_8$ - $011_2$ = $3_8$ - $100_2$ = $4_8$ - $011_2$ = $3_8$ - Octal Number: $1343_8$2. **Binary to Hexadecimal:** - Split the binary number into groups of four digits starting from the right. - Convert each group of four binary digits into its hexadecimal equivalent. Example Conversion: - Binary: 1011100011 - Split into groups of four: (0001)(0111)(0011) - Convert each group: - $0001_2$ = $1_{16}$ - $0111_2$ = $7_{16}$ - $1011_2$ = $B_{16}$ - Hexadecimal Number: $17B_{16}$By following these steps, you can convert the given binary number into its respective octal and hexadecimal forms.

Answered: Image /qna-images/answer/342802de-3175-4c89-9988-835783868976.jpg

Answered: Write each binary number first as an…

Math

Advanced Math

Write each binary number first as an octal number and then as a hexadecimal number. 10111000112

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Related questions

Q: Write a prime number and a composite number, both under 100, that are relatively prime.

Q: Add the following unsigned binary numbers. a) (11010011)2 & (11101110)2 b) (11000111), & (11111)2

A: a) 111000001 b) 11100110

Q: Find the product of following binary numbers: 101101 and 10110

Q: Fill in the blanks identified by * and ** (Question d) Answer question e please

A: It is given that the degrees of freedom for total is n-1 = 52.

Q: QUESTION 11 Convert the following binary numbers to a decimal number. (You just need to type the…

Q: find the 2's complement for binary number 1001 0101

A: To convert to Two's complement form binary numberNow we find First's complement10010101 change each…

Q: Find the check digit (d) for the UPC numbers 0-32692-03012 d

Q: Compute Legendre Symbol ( 357 ) 151

Q: Determine the binary notation for 510. Enter your answer as a base-two number but do not include the…

Q: find each difference in the sum in the same base as the given numbers 7356 - 4556

A: For base 6 when we subtract two digits, then if the upper digit is less than the lower digit, then…

Q: Convert 8330 to binary number and hexadecimal number.

Q: calculate the binary difference 11100.…

A: For the binary difference, we use the following rules: 0 – 0 = 0 1 – 0 = 1 1 – 1 = 0 0 – 1 = 1 with…

Q: Convert 16510 to binary number. Select one a 001001012 b. 10001110₂ c 101001012 d. 10110000₂

Q: Convert the OCTAL NUMBER 162 8 to BINARY, DECIMAL and HEXA-DECIMAL.

A: Given :- OCTAL NUMBER - 162

Q: Add the following binary numbers 110 +101 +1101

A: Introduction: One of the binary operations is binary addition. As a refresher, "Binary Operation"…

Q: Convert the following integer from binary notation to octal and hexadecimal notation. 1101110100…

A: Binary to Octal: Given number:1101110100 Write the octal digits together,The correct octal…

Q: Convert both numbers from their octal forms into decimal forms, show working out. 62628 37622628

A: to convert octal to decimal proceed as follows 6262=6×83+6×82+6×81+6×80=3072+128+48+6=3250…

Q: Convert BB8₁6 to binary. 16

A: We first convert BB816 to equivalent decimal (base 10) number and then from that, we convert to…

Q: Convert 458 to binary notation. Convert 11001012 to decimal notation.

A: first - decimal to binary conversion second- binary to decimal conversion

Q: 1 I01, and 1110, 2. 111000, and 11102 3. 11D0001, and 110102

A: Given problem Given that 1)1111012 and 11102

Q: Express in decimal form the binary numbers 10111001., 1001001111., 101011., 1100.

A: We have to convert the binary number in decimal form

Q: Write the number as a binary number. 226g 226

Q: Write each binary number as a base ten number 1 - 111 2- 1101 3- 10001

A: 1. (111)2 = (1x22 + 1x21 + 1x20)10 = (4 + 2 + 1)10 = (7)10

Q: Convert the number from decimal form to the given base 12888 to base 8

A: The given number is 12888. Now convert the number 12888 from decimal form to base 8 by division…

Q: The prime number 8191 is a

A: The smallest Mersenne prime p such that the Mersenne number M(p) = 2^p - 1 is composite. TAKE P=13…

Q: Convert the old ISBN-10 identification number: 6418-77123-0 to its equivalent new ISBN-13. Enter…

Q: Calculate 373,755,967,102 x 389,291,774,965 mod 100.

A: Solution

Q: Determine whether each integer has multiplicative inverse modulo 1001. If it does, find the inverse.…

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

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

Q: Find the check digit (d) for the UPC number 0-32692-03012 d

Q: Add the following binary numbers. 1011 +1110

Q: In binary arithmetic, calculate $$11010 - 1101$$

Q: Find the last digit of the expression below : 719522

Q: Gigi has a landline phone number 6-521-7271. How many distinguishable permutations does his number…

Q: Transfer this number (101010) from binary to octal 53 55 54 52 O

Question

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

1011100011_2

### Binary to Octal and Hexadecimal Conversion

**Problem Statement:**
Convert the given binary number into both octal and hexadecimal formats.

**Binary Number:**
\[ 1011100011_2 \]

**Steps for Conversion:**

1. **Binary to Octal:**
- Split the binary number into groups of three digits starting from the right.
- Convert each group of three binary digits into its octal equivalent.

Example Conversion:

- Binary: 1011100011
- Split into groups of three: (001)(011)(100)(011)
- Convert each group:
- $001_2$ = $1_8$
- $011_2$ = $3_8$
- $100_2$ = $4_8$
- $011_2$ = $3_8$

- Octal Number: $1343_8$

2. **Binary to Hexadecimal:**
- Split the binary number into groups of four digits starting from the right.
- Convert each group of four binary digits into its hexadecimal equivalent.

Example Conversion:

- Binary: 1011100011
- Split into groups of four: (0001)(0111)(0011)
- Convert each group:
- $0001_2$ = $1_{16}$
- $0111_2$ = $7_{16}$
- $1011_2$ = $B_{16}$

- Hexadecimal Number: $17B_{16}$

By following these steps, you can convert the given binary number into its respective octal and hexadecimal forms.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Searching and Sorting$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.

Similar questions

Find the Order and inverse of 11 in Z25
The binary number 10100 written in decimal is The decimal number 23 written in binary is
Convert 25010 to 8-bit binary.
Asap
Convert 137, to Binary number.
Hell
Determine the binary notation for 710. Enter your answer as a base-two number but do not include the subscript.
Without using a calculator, one can determine the ones digits of 4879100 Select one: True False
With solution thanks
Write the number as a binary number.
Plot 9.075132 on a numberline where the long tick marks are thousanths
Convert the following binary number into Hexadecimal. (b) 10100111.0010111