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# HW1 - 01001001 0.80078125 r1.6015625 r1.203125 r0.40625...

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ECE 2504 Introduction to Computer Engineering, Summer I 2010 Homework 1 Due date: 5/26/10, 11:55 pm Show all work 1

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1. (3 pts) Convert the following binary numbers to decimal: 110100 11000110 1011001001 2. (3 pts) Convert the following numbers with the indicated bases to decimal: (30312) 4 2 + 1*4^1 + 3*4^2 + 3*4^4 = 822 (14502) 6 2 + 5*6^2 + 4*6^3 + 1*6^4 = 2342 (463) 7 3 + 6*7^1 + 4*7^2 = 241 3. (3 pts) Convert the following decimal numbers to binary: 465 232 r1, 116 r0, 58 r0, 29 r0, 14 r1, 7 r0, 3 r1, 1 r1, 0 r1 = 111010001 2013 - 1006 r1, 503 r0, 251 r1, 125 r1, 62 r1, 31 r0, 15 r1, 7 r1, 3 r1, 1 r1, 0 r1 = 11111011101 35,074 – 17537 r0, 8768 r1, 4384 r0, 2192 r0, 1096 r0, 548 r0, 274 r0, 137 r0, 68 r1, 34 r0, 17 r0, 8 r1, 4 r0, 2 r0, 1 r0, 0 r1 = 1000100100000010 4. (3 pts) Convert the following decimal numbers to binary: 0.5859375 – r1 .171875, r0 .34375, r0 .6875, r1 .375, r0 .75, r1 .5, r1 .0 = .1001011 0.28515625- r0 .5703125, r1 .140625, r0 .28125, r0 .5625, r1 .125, r0 .25, r0 .5, r1 .0 = .
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Unformatted text preview: 01001001 0.80078125- r1 .6015625, r1 .203125, r0 .40625, r0 .8125, r1 .625, r1 .25, r0 .5, r1 .0 = 11001101 5. (3 pts) Convert the following decimal numbers to octal: 267- 33 r3, 4 r1, 0 r4 = 413 2013- 251 r5, 31 r3, 3 r7, 0 r3 = 3735 9,500- 1187 r4, 148 r3, 18 r4, 2 r2, 0 r2 = 22434 2 6. (3 pts) Convert the following decimal numbers to hexadecimal: 4835- 302 r3, 18 r14(E), 1 r2, 0 r1 = 12E3 923- 57 r11(B), 3 r9, 0 r3 = 39B 2013- 125 r13(D), 7 r13(D), 0 r7 = 7DD 7. (3 pts) Convert the hexadecimal number E4C3B2 to binary, octal and decimal. Binary: 1110 0100 1100 0011 1011 0010 Octal: 71141662 (used the conversion to binary, then split it into groups of three, 111 001 001 100 001 110 110 010) Decimal: 14*(16^5) + 4*(16^4) + 12*(16^3) + 3*(16^2) + 11*(16^1) + 2 = 14992306 8. (2 pts) Convert the following decimal numbers to hex: 0.826904296875- r13(D) .23046875, r3 .6875, r11(B) = D3B 0.298095703125- r4 .76953125, r12(C) .3125, r5 = 4C5 3...
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HW1 - 01001001 0.80078125 r1.6015625 r1.203125 r0.40625...

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