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1) Ben Bitdiddle is building a house. Explain how he can use the principles of hierarchy,...

1) Ben Bitdiddle is building a house. Explain how he can use the principles of hierarchy, modularity, and regularity to save time and money during construction. 2) Convert the following two’s complement binary numbers to decimal. (a) 1010 (b) 110110 (c) 01110000 (d) 10011111

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Answer #1

2)
converting binary numbers to decimal:
a)
1010 = 1*2^3 +0*2^2 +1*2^1 +0*2^0 = 8+2 = 10 in decimal
b)
110110 = 1*2^5 +1*2^4 +0*2^3 +1*2^2 +1*2^1 +0*2^0 = 32+16+4+2 = 54
c)
01110000 = 0*2^7 +1*2^6 +1*2^5 +1*2^4 +0*2^3 +0*2^2 +0*2^1 +0*2^0 = 64+32+16 =112
d)
10011111 = 1*2^7 +0*2^6 +0*2^5 +1*2^4 +1*2^3 +1*2^2 +1*2^1 +1*2^0 = 128+16+8+4+2+1=159

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