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please show work clearly and all the steps in obtaining the answers 2.4 all 2.5

ID: 1845696 • Letter: P

Question

please show work clearly and all the steps in obtaining the answers


2.4 all

2.5 e,h,j

2.6 d,e,f

2.7 c,d

2.8 a,c



What are the octal values of the four 8-bit bytes in the 32-bit number with octal representation 123456701238? Convert the following numbers into decimal: 11010112 = ?10 1740038 = ?10 101101112 = ?10 67.248 = ?10 10100.11012 = ?10 F3A516 = ?10 120103 = ?10 AB3D16 = ?10 71568 = ?10 15C.3816 = ?10 Perform the following number system conversions: 12510 = ?2 348910 = ?8 20910 = ?2 971410 = ?8 13210 = ?2 2385110 = ?16 72710 = ?5 5719010 = ?16 143510 = ?8 6511310 = 7 16 Add the following pairs of binary numbers, showing all carries: 110101 + 11001 101110 + 100101 11011101 + 1100011 1110010 + 1101101 Repeat Drill 2.7 using subtraction instead of addition, and showing borrows instead of carries. A,C

Explanation / Answer

2.5)

e.) 10100.1101 base 2 is changed into base 10.

For that, we have

0*2^0 + 0*2^1 + 1*2^2 + 0 * 2^3 + 1*2^4 + 1*2^-1 + 1^2^-2 + 0*2^-3 + 1*2^-4

= 0 + 0 + 4 +0 +16 +0.5 + 0.25 + 0.0625

= 20.8125


h) AB3D base 16 is changed into base 10.

= 13*16^0 + 3*16^1 + 11*16^2 + 10*16^3

= 13 + 48 + 11*256 + 160*256

=43837

j.) 15C.38 base 16 is changed into base 10.

14*16^0 + 5*16 + 1*16^2 + 3*16^-1 + 8*16^-2

= 14 + 80 + 256 + 3/16 + 1/32

=94.21875