Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 88, Problem 10AR
To determine

(a)

The binary number 1100012 as hexadecimal number.

Expert Solution
Check Mark

Answer to Problem 10AR

The conversion of binary number 1100012 is 3116.

Explanation of Solution

Given:

The binary number is 1100012.

Concept used:

For conversion binary number into hexadecimal number, split the number into nibble (4 digits at a time) and add zeroes to fill out the groups.

Assign each group the corresponding hexadecimal number from the table given below:

    DecimalBinaryHexadecimal
    000000
    100011
    200102
    300113
    401004
    501015
    601106
    701117
    810008
    910019
    101010A
    111011B
    121100C
    131101D
    141110E
    151111F

Table 1

Calculation:

The binary number is converted as follows:

1100012=110001=00110001=31(FromTable1)

Thus, the conversion of binary number 1100012 is 3116.

Conclusion:

The conversion of binary number 1100012 is 3116.

To determine

(b)

The binary number 101101012 as hexadecimal number.

Expert Solution
Check Mark

Answer to Problem 10AR

The conversion of binary number 101101012 is B516.

Explanation of Solution

Given:

The binary number is 101101012.

Calculation:

The binary number is converted as follows:

101101012=10110101=B5(FromTable1)

Thus, the conversion of binary number 101101012 is B516.

Conclusion:

The conversion of binary number 101101012 is B516.

To determine

(c)

The binary number 11001010112 as hexadecimal number.

Expert Solution
Check Mark

Answer to Problem 10AR

The conversion of binary number 11001010112 is 32B16.

Explanation of Solution

Given:

The binary number is 11001010112.

Calculation:

The binary number is converted as follows:

11001010112=1100101011=001100101011=32B(FromTable1)

Thus, the conversion of binary number 11001010112 is 32B16.

Conclusion:

The conversion of binary number 11001010112 is 32B16.

To determine

(d)

The binary number 10110111011112 as hexadecimal number.

Expert Solution
Check Mark

Answer to Problem 10AR

The conversion of binary number 10110111011112 is 16EF16.

Explanation of Solution

Given:

The binary number is 10110111011112.

Calculation:

The binary number is converted as follows:

10110111011112=1011011101111=0001011011101111=16EF(FromTable1)

Thus, the conversion of binary number 10110111011112 is 16EF16.

Conclusion:

The conversion of binary number 10110111011112 is 16EF16.

To determine

(e)

The binary number 111110111.01112 as hexadecimal number.

Expert Solution
Check Mark

Answer to Problem 10AR

The conversion of binary number 111110111.01112 is 1F7.716.

Explanation of Solution

Given:

The binary number is 111110111.01112.

Calculation:

The binary number is converted as follows:

111110111.01112=111110111.0111=000111110111.0111=1F7.7(FromTable1)

Thus, the conversion of binary number 111110111.01112 is 1F7.716.

Conclusion:

The conversion of binary number 111110111.01112 is 1F7.716.

To determine

(f)

The binary number 110101001101.111012 as hexadecimal number.

Expert Solution
Check Mark

Answer to Problem 10AR

The conversion of binary number 110101001101.111012 is D4D.E816.

Explanation of Solution

Given:

The binary number is 110101001101.111012.

Calculation:

The binary number is converted as follows:

110101001101.111012=110101001101.11101=110101001101.11101000=D4D.E8(FromTable1)

Thus, the conversion of binary number 110101001101.111012 is D4D.E816.

Conclusion:

The conversion of binary number 110101001101.111012 is D4D.E816.

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