Question

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

Convert the following Hex numbers to decimal.

a. FFFF

b. 0123

c. 005F

d. 026A

e. 73B0

Answer 1

Following are the decimal num

a. FFFF=65535

b. 0123=291

c. 005F=95

d. 026A=618

e. 73B0=29616

Step-by-step 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