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23. Determine the decimal value of the following single-precision floating-point number: 1100 0000 1010 0100 1110 0010 0000 0000 24. Convert 401910 to hexadecimal 25. Convert BCD 100001110000 to decimal

23. Determine the decimal value of the following single-precision floating-point number: 1100 0000 1010 0100 1110 0010 0000 0000 24. Convert 401910 to hexadecimal 25. Convert BCD 100001110000 to decimal

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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23. Determine the decimal value of the following single-precision floating-point number: 1100 0000 1010 0100 1110 0010 0000 0000 24. Convert 401910 to hexadecimal 25. Convert BCD 100001110000 to decimal
Transcribed Image Text:23. Determine the decimal value of the following single-precision floating-point number: 1100 0000 1010 0100 1110 0010 0000 0000 24. Convert 401910 to hexadecimal 25. Convert BCD 100001110000 to decimal
Expert Solution
Step 1: Process to convert decimal value to single-precision floating point number:

Single precision floating point number has : 32 bits

Most signficant bit : sign bit :  0 means positive, 1 means negative

next  8 bits are : exponent bits

next 23 bits are : fraction or mantissa bits

step1) convert exponent bits to decimal, then subtract 127, let result be r

step2) then write mantissa part like this : 1.mantissa

for example : if mantissa is :0101

write it like this : 1.0101

let result be m

step3) if r is positive, then shift decimal point of m by r bits right, if r is negative then shift decimal point r bits left, let result be m

step4) then convert m to decimal

step5) if sign bit 1, then resulting decimal value is negative otherwise it is positive

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