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DATE 2014-10-01

HANGOUT

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Key: Value:

Key: Value:

MESSAGE
DATE 2014-10-31
FROM Ruben Safir
SUBJECT Subject: [NYLXS - HANGOUT] Fwd: Architecture Homework - Review Questions
From owner-hangout-outgoing-at-mrbrklyn.com Fri Oct 31 09:34:44 2014
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Date: Fri, 31 Oct 2014 09:35:30 -0400
From: Ruben Safir
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Subject: [NYLXS - HANGOUT] Fwd: Architecture Homework - Review Questions
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first set of questions answered:

~~~~~

Done by hand

Quest 1:

A)
Base Conversion:
(FA10E) 16 =(??)8
0F A1 0E (HEX)
0000 1111 1010 0001 0000 1110 (BIN)
000 011 111 010 000 100 001 110 (3 tuplets)
0 3 7 2 0 4 1 6 (OCT)



(B)
(101001 )2 = (??)16
= (??)8
= (??)10
00010 1001
29 (HEX)
101 001
51 (Oct)
(8*5) + (1) = 41(dec)

(C)
(26789) 10 =(??)8
=(??)16

26789 1
13394 0
6697 1
3348 0
1674 0
837 1
418 0
209 1
104 0
52 0
26 0
13 1
6 0
3 1
1 1

110,100,010,100,101 (bin)
6 4 2 4 5 (Oct)

0110,1000,1010,0101 (bin)
68 A5 (Hex)


Quest 2:
Arithmetic
1.
Convert the decimal number 0.625 into floating point IEEE Standard 754
single precision:

0.625 converted to binary is 0.101
625 x2 = 1250 => 1
250 x2 = 500 => 0
500 x2 = 1000 => 1

1.01 x 2^-1

Exponent component 127-1 = 126
111 1110(bin)

Significant Digit is 0 (positive)

Significand segment is 010 0000 0000 0000 0000 0000
(hiding the leading 1)
0 0111 1110 010 0000 0000 0000 0000 0000 (32 digits)

I did this wrong on the test as I forgot to convert to binary before
normalizing




2.
Perform the following binary multiplication of two binary numbers:
10111011 and 11101101

(I question the value of this question to access and basic knowledge)

10111011
11101101 x
-----------

10111011
1011101100
10111011000
1011101100000
10111011000000
101110110000000
--------------------------------------------------------
1010110100011111 ?

1 10 10 11 11 11 10011 10 1 1
1 0 1 1 1 0 1 1
1 0 1 1 1 0 1 1 0 0
1 0 1 1 1 0 1 1 0 0 0
1 0 1 1 1 0 1 1 0 0 0 0 0
1 0 1 1 1 0 1 1 0 0 0 0 0 0
1 0 1 1 1 0 1 1 0 0 0 0 0 0 0
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
10 1 0 1 1 0 1 0 0 0 1 1 1 1 1 ? same as paper






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