Question

1. Convert the binary number 10101102 to octal, decimal, and hexadecimal numbers. 2. Convert the decimal number 236.7510 to binary,octal, and hexadecimal numbers. 3. Add the following two binary numbers: 100111102 and 011110112. Remember to show any carries that are generated along the way. 4. Repeat the previous question, but this time subtract the second binary number from the first. Remember to show any borrows that are required along the way. 5. Determine the encoding of the decimal number 28610 in 10-bit signed 2's- complement form. Remember to show your work.

Answer 1

1.1010110) to octal Padding 3 bits left to right Dool/010/110 10 101olio 643.168421 64 tot 6 +0+4 +2to (8010 111 1010110 Padding 4 bios) Olololo 516 C/268 (56)16 Colla 329-, 2 (236-75% into Binary ) 21236 .75*2= 1.50-11 ) octal 2 118-09 .5042=1 8R36 7588=6.00 = 6 8/29-47 8/3-8 0-3] 077-0 (354)8 (354.68 T-1 i iD hexadecimay C11101100:11) 2 16/236 . .75+16=12 [14-127 12 mens=c 14 meams-E 12 mens ac CEC) CEC.C) 16 3. 'lobllio 01111011 1000 11001 C1000110012

01111 OU >304 1001 110 ist number change to Two's con plonst, so ist number is compromet ol100001 ist numbed as complement 01100010 - Ollow and 01100010 > St C11011101) adding) Clo111o) into as complenit 15 complenst > 00100010 a's complant o orooo1 Encu ansner-C00100011), = 32 R_143-07 2171-1 5) 286 in Binary 2286 is complenst go 11100001 a's complaret 0011100001 co011100010) fincy onsues: - 01000 1110) cool11000102 To
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