Convert the following unsigned numbers into decimal b o d an

Convert the following unsigned numbers into decimal: (b, o, d and h indicate binary, octal, decimal and hexadecimal, respectively) (15%) 1011010.1101_b 1573.5463_o A56E.4FC_h

Solution

3.Ans)

a) 1011010.1101= (1*2⁶)+(0*2⁵)+(1*2⁴)+(1*2³)+(0*2²)+(1*2¹)+(0*2⁰) . (1*2^-1)+(1*2^-2)+(0*2^-3)+(1*2^-4)

= (64+0+16+8+0+2+0).(0.5+0.25+0+0.0625)=90.8125

=90.8125 Equivalent decimal

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b)

1573.5463= (1*8³)+(5*8²)+(7*8¹)+(3*8⁰) . (5*8^-1)+(4*8^-2)+(6*8^-3)+(3*8^-4)

= (512+320+56+3).(0.625+0.0625+0.011719+0.0007324)=891.6995

=891.6995 Equivalent decimal

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c)

A56E.4FC= (10*16³)+(5*16²)+(6*16¹)+(14*16⁰) . (4*16^-1)+(15*16^-2)+(12*16^-3)

= (40960+1280+96+14).(0.25+0.0586+0.00293)=42350.31153

=42350.31153 Equivalent decimal