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3 years ago

Complete the following conversions. You MUST show all of your work to receive full credit.

Computers and Technology

1 answer:

Irina18 [472]3 years ago

8 0

Answer:

Following are the decimal num

a. FFFF=65535

b. 0123=291

c. 005F=95

d. 026A=618

e. 73B0=29616

Explanation:

Conversion of hexa decimal number to decimal number is done by multiplying the digit with corresponding power of 16.

FFFF= 15 x 16³+15 x 16² + 15 x 16¹+ 15 x 16⁰.

=61440+3840+240+15

=65535

0123=0 x 16³+1 x 16²+2 x 16¹+3 x 16⁰

=0+256+32+3

=291

005F=0 x 16³+0 x 16²+5 x 16¹+F x 16⁰

=0+0+80+15

=95

026A=0 x 16³+2 x 16²+6 x 16¹+A x 16⁰

=0+512+96+10

=618

73B0=7 x 16³+3 x 16²+B x 16¹+0 x 16⁰

=28672+768+176+0

=29616

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