Explanation Given information: A binary number 10100111010011 2 . Calculation: Binary number system uses the number 2 as its base. Therefore, it has 2 symbols: The numbers are 0 and 1. And a hexadecimal number system uses the number 16 as its base, i.e., it has 16 symbols. The hexadecimal digits are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E and F. Binary numbers are represented as from hexadecimal number Binary 0000 0001 0010 0011 0100 0101 0110 0111 Decimal 0 1 2 3 4 5 6 7 Hexadecimal 0 1 2 3 4 5 6 7 Binary 1000 1001 1010 1011 1100 1101 1110 1111 Decimal 8 9 10 11 12 13 14 15 Hexadecimal 8 9 A B C D E F Each hexadecimal digit consists of 4 binary digits. For example, hexadecimal number 9 is equal to binary number 1001. For converting binary number into hexadecimal number, write down the binary number and represent four binary digits from right by its hexadecimal digit from the table. Then combine all the digits together. Hexadecimal digits are equal to the summation of 2 n where n = 0, 1, 2 and 3 (position from right) For example, 9 = 2 3 +2 0 . In this example, 2 1 and 2 2 are not there. So, at position 1 and 2, binary digit is zero, and at position 0 and 3, binary digit is one. Therefore, hexadecimal of binary 1001 is The hexadecimal number is equal to the summation of binary digits, i.e., d n × 2 n starting from right. Divide up into block of four digits. Hexadecimal of binary number 10100111010011 2 is equal to (Starting from right) b i n a r y n u m b e r = 10 1001 1101 0011 → f o u r h e x a d e c i m a l n u m b e r f i r s t h e x a d e c i m a l d i g i t = 0 × 2 3 + 0 × 2 2 + 1 × 2 1 + 1 × 2 0 f i r s t h e x a d e c i m a l d i g i t = 0 × 8 + 0 × 4 + 1 × 2 + 1 × 1 f i r s t h e x a d e c i m a l d i g i t = 0 + 0 + 2 + 1 f i r s t h e x a d e c i m a l d i g i t = 3 sec o n d h e x a d e c i m a l d i

8th Edition

ISBN: 9781337798310

Author: Peterson, John.

Publisher: Cengage Learning,

See similar textbooks

Concept explainers

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.

Videos

Question

Chapter 85, Problem 11A

To determine

To express:

A binary number into a hexadecimal number.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 85, Problem 10A

Chapter 85, Problem 12A

Students have asked these similar questions

Convert the binary number 111010101.110111 to hexadecimal.

Convert the following binary number into Hexadecimal. (b) 10100111.0010111

Write each binary number first as an octal number and then as a hexadecimal number. 1011100011_2

Chapter 85 Solutions

Mathematics For Machine Technology

Ch. 85 - Prob. 1A Ch. 85 - Prob. 2A Ch. 85 - Prob. 3A Ch. 85 - Prob. 4A Ch. 85 - Prob. 5A Ch. 85 - Prob. 6A Ch. 85 - Prob. 7A Ch. 85 - Prob. 8A Ch. 85 - Prob. 9A Ch. 85 - Prob. 10A

Knowledge Booster

$Advanced Math$

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

SEE MORE QUESTIONS

Recommended textbooks for you

Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,
Algebra: Structure And Method, Book 1
Algebra
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:McDougal Littell
Holt Mcdougal Larson Pre-algebra: Student Edition...
Algebra
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL

Mathematics For Machine Technology

Advanced Math

ISBN:9781337798310

Author:Peterson, John.

Publisher:Cengage Learning,

Algebra: Structure And Method, Book 1

Algebra

ISBN:9780395977224

Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole

Publisher:McDougal Littell

Holt Mcdougal Larson Pre-algebra: Student Edition...

Algebra

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

SEE MORE TEXTBOOKS

ALGEBRAIC EXPRESSIONS & EQUATIONS | GRADE 6; Author: SheenaDoria;https://www.youtube.com/watch?v=fUOdon3y1hU;License: Standard YouTube License, CC-BY

Algebraic Expression And Manipulation For O Level; Author: Maths Solution;https://www.youtube.com/watch?v=MhTyodgnzNM;License: Standard YouTube License, CC-BY

Algebra for Beginners | Basics of Algebra; Author: Geek's Lesson;https://www.youtube.com/watch?v=PVoTRu3p6ug;License: Standard YouTube License, CC-BY

Introduction to Algebra | Algebra for Beginners | Math | LetsTute; Author: Let'stute;https://www.youtube.com/watch?v=VqfeXMinM0U;License: Standard YouTube License, CC-BY

To express: A binary number into a hexadecimal number.

Solution Summary: The author explains how to convert binary numbers into hexadecimal numbers.