Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN: 9781337798310
Author: Peterson, John.
Publisher: Cengage Learning,
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Chapter 87, Problem 1A
To determine

Conversion of decimal numbers 143.810 to a 2421 code numbers.

Expert Solution & Answer
Check Mark

Answer to Problem 1A

2421 code numbers is 0001 0100 0011.1110.

Explanation of Solution

Given information:

A decimal numbers 143.810.

Calculation:

2421 code is also called Aiken code. It is a complementary BCD code.

2421 code number system uses 2 symbols: The numbers are 0 and 1.

And a decimal number system uses the number 10 as its base i.e. it has 10 symbols; decimal digits are 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.

2421 code numbers are represented as from decimal number

    Decimal0123456789
    2421 code0000000100100011010010111100110111101111

Each decimal digit consists of 4 bits 2421 code.

For example, decimal number 9 is equal to 2421 code 1111.

For converting decimal numbers into 2421 code numbers, write down the decimal numbers and represent each decimal digit by its 2421 code from the table.

Then combine all the digits together.

Same process follows for integer as well as fractional part.

   decimalnumber= 143.8 10 Nowconsideringindividualdigits decimaldigit=1 decimaldigit=0+0+0+1(summationintermsof2421) decimaldigit= 0 ×2+ 0 ×4+ 0 ×2+ 1 ×1 So2421code= 0001

   decimaldigit=4 decimaldigit=0+4+0+0(summationintermsof2421) decimaldigit= 0 ×2+ 1 ×4+ 0 ×2+ 0 ×1 So2421code= 0100

   decimaldigit=3 decimaldigit=0+0+2+1(summationintermsof2421) decimaldigit= 0 ×2+ 0 ×4+ 1 ×2+ 1 ×1 So2421code= 0011

   combineallthe2421codestogether=000101000011.1110

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